Analytic philosophy is a broad movement within
Western philosophy
Western philosophy refers to the Philosophy, philosophical thought, traditions and works of the Western world. Historically, the term refers to the philosophical thinking of Western culture, beginning with the ancient Greek philosophy of the Pre ...
, especially
anglophone
The English-speaking world comprises the 88 countries and territories in which English is an official, administrative, or cultural language. In the early 2000s, between one and two billion people spoke English, making it the largest language ...
philosophy, focused on
analysis
Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
as a philosophical method; clarity of
prose
Prose is language that follows the natural flow or rhythm of speech, ordinary grammatical structures, or, in writing, typical conventions and formatting. Thus, prose ranges from informal speaking to formal academic writing. Prose differs most n ...
; rigor in arguments; and making use of
formal logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
, mathematics, and to a lesser degree the
natural sciences
Natural science or empirical science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer ...
.
[Mautner, Thomas (editor) (2005) ''The Penguin Dictionary of Philosophy'', entry for "Analytic philosophy", pp. 22–23] It is further characterized by an interest in
language
Language is a structured system of communication that consists of grammar and vocabulary. It is the primary means by which humans convey meaning, both in spoken and signed language, signed forms, and may also be conveyed through writing syste ...
,
semantics
Semantics is the study of linguistic Meaning (philosophy), meaning. It examines what meaning is, how words get their meaning, and how the meaning of a complex expression depends on its parts. Part of this process involves the distinction betwee ...
and
meaning, known as the
linguistic turn
The linguistic turn was a major development in Western philosophy during the early 20th century, the most important characteristic of which is the focusing of philosophy primarily on the relations between language, language users, and the world.
...
.
It has developed several new branches of philosophy and logic, notably
philosophy of language
Philosophy of language refers to the philosophical study of the nature of language. It investigates the relationship between language, language users, and the world. Investigations may include inquiry into the nature of Meaning (philosophy), me ...
,
philosophy of mathematics
Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathem ...
,
philosophy of science
Philosophy of science is the branch of philosophy concerned with the foundations, methods, and implications of science. Amongst its central questions are the difference between science and non-science, the reliability of scientific theories, ...
, modern
predicate logic
First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables ove ...
and
mathematical logic
Mathematical logic is the study of Logic#Formal logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic com ...
.
The proliferation of analysis in philosophy began around the turn of the 20th century and has been dominant since the latter half of the 20th century.
Central figures in its historical development are
Gottlob Frege
Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philos ...
,
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics, logic, set theory, and various areas of analytic ...
,
G. E. Moore
George Edward Moore (4 November 1873 – 24 October 1958) was an English philosopher, who with Bertrand Russell, Ludwig Wittgenstein and earlier Gottlob Frege was among the initiators of analytic philosophy. He and Russell began de-emphasizing ...
, and
Ludwig Wittgenstein
Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.
From 1929 to 1947, Witt ...
. Other important figures in its history include
Franz Brentano
Franz Clemens Honoratus Hermann Josef Brentano (; ; 16 January 1838 – 17 March 1917) was a German philosopher and psychologist. His 1874 '' Psychology from an Empirical Standpoint'', considered his magnum opus, is credited with having reintrod ...
, the
logical positivists
Logical positivism, also known as logical empiricism or neo-positivism, was a philosophical movement, in the empiricist tradition, that sought to formulate a scientific philosophy in which philosophical discourse would be, in the perception of ...
(particularly
Rudolf Carnap
Rudolf Carnap (; ; 18 May 1891 – 14 September 1970) was a German-language philosopher who was active in Europe before 1935 and in the United States thereafter. He was a major member of the Vienna Circle and an advocate of logical positivism.
...
), the
ordinary language philosophers,
W. V. O. Quine, and
Karl Popper
Sir Karl Raimund Popper (28 July 1902 – 17 September 1994) was an Austrian–British philosopher, academic and social commentator. One of the 20th century's most influential philosophers of science, Popper is known for his rejection of the ...
. After the decline of logical positivism,
Saul Kripke
Saul Aaron Kripke (; November 13, 1940 – September 15, 2022) was an American analytic philosophy, analytic philosopher and logician. He was Distinguished Professor of Philosophy at the Graduate Center of the City University of New York and emer ...
,
David Lewis, and others led a revival in
metaphysics
Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
.
Analytic philosophy is often contrasted with
continental philosophy
Continental philosophy is a group of philosophies prominent in 20th-century continental Europe that derive from a broadly Kantianism, Kantian tradition.Continental philosophers usually identify such conditions with the transcendental subject or ...
, which was coined as a catch-all term for other methods that were prominent in
continental Europe
Continental Europe or mainland Europe is the contiguous mainland of Europe, excluding its surrounding islands. It can also be referred to ambiguously as the European continent, – which can conversely mean the whole of Europe – and, by som ...
, most notably
existentialism
Existentialism is a family of philosophical views and inquiry that explore the human individual's struggle to lead an authentic life despite the apparent absurdity or incomprehensibility of existence. In examining meaning, purpose, and valu ...
,
phenomenology
Phenomenology may refer to:
Art
* Phenomenology (architecture), based on the experience of building materials and their sensory properties
Philosophy
* Phenomenology (Peirce), a branch of philosophy according to Charles Sanders Peirce (1839� ...
, and
Hegelianism
Georg Wilhelm Friedrich Hegel (27 August 1770 – 14 November 1831) was a 19th-century German idealism, German idealist. His influence extends across a wide range of topics from metaphysical issues in epistemology and ontology, to political phi ...
. There is widespread influence and debate between the analytic and continental traditions; some philosophers see the differences between the two traditions as being based on institutions, relationships, and ideology, rather than anything of significant philosophical substance.
The distinction has also been drawn between "analytic" being
academic
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the go ...
or technical philosophy and "continental" being
literary
Literature is any collection of written work, but it is also used more narrowly for writings specifically considered to be an art form, especially novels, plays, and poems. It includes both print and digital writing. In recent centuries, ...
philosophy.
Emergence in Germany and Austria
Analytic philosophy was deeply influenced by what is called
Austrian realism in the former state of
Austria-Hungary
Austria-Hungary, also referred to as the Austro-Hungarian Empire, the Dual Monarchy or the Habsburg Monarchy, was a multi-national constitutional monarchy in Central Europe#Before World War I, Central Europe between 1867 and 1918. A military ...
, so much so that Michael Dummett has remarked that analytic philosophy is better characterized as Anglo-Austrian rather than the usual Anglo-American.
University of Vienna
The University of Vienna (, ) is a public university, public research university in Vienna, Austria. Founded by Rudolf IV, Duke of Austria, Duke Rudolph IV in 1365, it is the oldest university in the German-speaking world and among the largest ...
philosopher and psychologist
Franz Brentano
Franz Clemens Honoratus Hermann Josef Brentano (; ; 16 January 1838 – 17 March 1917) was a German philosopher and psychologist. His 1874 '' Psychology from an Empirical Standpoint'', considered his magnum opus, is credited with having reintrod ...
—in ''
Psychology from an Empirical Standpoint'' (1874) and through the subsequent influence of the
School of Brentano and its members, such as
Edmund Husserl
Edmund Gustav Albrecht Husserl (; 8 April 1859 – 27 April 1938) was an Austrian-German philosopher and mathematician who established the school of Phenomenology (philosophy), phenomenology.
In his early work, he elaborated critiques of histori ...
and
Alexius Meinong—gave to analytic philosophy the problem of
intentionality
Intentionality is the mental ability to refer to or represent something. Sometimes regarded as the ''mark of the mental'', it is found in mental states like perceptions, beliefs or desires. For example, the perception of a tree has intentionality ...
or of aboutness. For Brentano, all mental events have a real, non-mental intentional object, which the thinking is directed at or "about".
Meinong is known for his unique
ontology
Ontology is the philosophical study of existence, being. It is traditionally understood as the subdiscipline of metaphysics focused on the most general features of reality. As one of the most fundamental concepts, being encompasses all of realit ...
of real
nonexistent objects
In metaphysics and ontology, nonexistent objects are a concept advanced by Austrian philosopher Alexius Meinong in the 19th and 20th centuries within a " theory of objects". He was interested in intentional states which are directed at nonexiste ...
as a solution to the problem of
empty names. The
Graz School followed Meinong. The Polish
Lwów–Warsaw school, founded by
Kazimierz Twardowski in 1895, grew as an offshoot of the Graz School. It was closely associated with the
Warsaw School of Mathematics.
Frege
Gottlob Frege
Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philos ...
(1848–1925) was a German
geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
professor at the
University of Jena
The University of Jena, officially the Friedrich Schiller University Jena (, abbreviated FSU, shortened form ''Uni Jena''), is a public research university located in Jena, Thuringia, Germany.
The university was established in 1558 and is cou ...
who is understood as the father of analytic philosophy. Frege proved influential as a
philosopher of mathematics in Germany at the beginning of the 20th century. He advocated
logicism
In the philosophy of mathematics, logicism is a programme comprising one or more of the theses that – for some coherent meaning of 'logic' – mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or al ...
, the project of reducing
arithmetic
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms.
...
to pure logic.
Logic
As a result of his logicist project, Frege developed
predicate logic
First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables ove ...
in his book ''
Begriffsschrift
''Begriffsschrift'' (German for, roughly, "concept-writing") is a book on logic by Gottlob Frege, published in 1879, and the formal system set out in that book.
''Begriffsschrift'' is usually translated as ''concept writing'' or ''concept notati ...
'' (English: ''Concept-script'', 1879), which allowed for a much greater range of sentences to be parsed into logical form than was possible using the ancient
Aristotelian logic
In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly b ...
. An example of this is the
problem of multiple generality.
Number
Neo-Kantianism dominated the late 19th century in German philosophy. Edmund Husserl's 1891 book ''
Philosophie der Arithmetik'' argued that the concept of the
cardinal number
In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number, or cardinality is therefore a natural number. For dealing with the cas ...
derived from psychical acts of grouping objects and counting them.
In contrast to this "
psychologism
Psychologism is a family of philosophical positions, according to which certain psychological facts, laws, or entities play a central role in grounding or explaining certain non-psychological facts, laws, or entities. The word was coined by Joh ...
", Frege in ''
The Foundations of Arithmetic'' (1884) and ''The Basic Laws of Arithmetic'' (, 1893–1903), argued similarly to
Plato
Plato ( ; Greek language, Greek: , ; born BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
or
Bolzano
Bolzano ( ; ; or ) is the capital city of South Tyrol (officially the province of Bolzano), Northern Italy. With a population of 108,245, Bolzano is also by far the largest city in South Tyrol and the third largest in historical Tyrol. The ...
that mathematics and logic have their own public objects, independent of the private judgments or mental states of individual mathematicians and logicians. Following Frege, the logicists tended to advocate a kind of
mathematical Platonism.
Language
Frege also proved influential in the
philosophy of language
Philosophy of language refers to the philosophical study of the nature of language. It investigates the relationship between language, language users, and the world. Investigations may include inquiry into the nature of Meaning (philosophy), me ...
and analytic philosophy's interest in
meaning.
[Jeff Speaks]
"Frege's theory of reference"
(2011) Michael Dummett
Sir Michael Anthony Eardley Dummett (; 27 June 1925 – 27 December 2011) was an English academic described as "among the most significant British philosophers of the last century and a leading campaigner for racial tolerance and equality." H ...
traces the
linguistic turn
The linguistic turn was a major development in Western philosophy during the early 20th century, the most important characteristic of which is the focusing of philosophy primarily on the relations between language, language users, and the world.
...
to Frege's ''Foundations of Arithmetic'' and his
context principle In the philosophy of language, the context principle is a form of semantic holism holding that a philosopher should "never ... ask for the meaning of a word in isolation, but only in the context of a proposition" (Frege 884/1980x).
Analysis
The ...
.
Frege's paper "
On Sense and Reference
In the philosophy of language, the distinction between sense and reference was an idea of the German philosopher and mathematician Gottlob Frege in 1892 (in his paper "On Sense and Reference"; German: "Über Sinn und Bedeutung"), reflecting the ...
" (1892) is seminal, containing
Frege's puzzles and providing a
mediated reference theory. His paper "
The Thought: A Logical Inquiry" (1918) reflects both his anti-idealism or anti-psychologism and his interest in language. In the paper, he argues for a
Platonist
Platonism is the philosophy of Plato and philosophical systems closely derived from it, though contemporary Platonists do not necessarily accept all doctrines of Plato. Platonism has had a profound effect on Western thought. At the most fundam ...
account of
proposition
A proposition is a statement that can be either true or false. It is a central concept in the philosophy of language, semantics, logic, and related fields. Propositions are the object s denoted by declarative sentences; for example, "The sky ...
s or thoughts.
Emergence in Great Britain

British philosophy in the 19th century had seen a revival of logic started by
Richard Whately, in reaction to the anti-logical tradition of
British empiricism. The major figure of this period is English mathematician
George Boole
George Boole ( ; 2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland. H ...
. Other figures include
William Hamilton,
Augustus De Morgan
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician. He is best known for De Morgan's laws, relating logical conjunction, disjunction, and negation, and for coining the term "mathematical induction", the ...
,
William Stanley Jevons
William Stanley Jevons (; 1 September 1835 – 13 August 1882) was an English economist and logician.
Irving Fisher described Jevons's book ''A General Mathematical Theory of Political Economy'' (1862) as the start of the mathematical method i ...
, ''
Alice's Adventures in Wonderland
''Alice's Adventures in Wonderland'' (also known as ''Alice in Wonderland'') is an 1865 English Children's literature, children's novel by Lewis Carroll, a mathematics university don, don at the University of Oxford. It details the story of a ...
'' author
Lewis Carroll
Charles Lutwidge Dodgson (27 January 1832 – 14 January 1898), better known by his pen name Lewis Carroll, was an English author, poet, mathematician, photographer and reluctant Anglicanism, Anglican deacon. His most notable works are ''Alice ...
,
Hugh MacColl, and American pragmatist
Charles Sanders Peirce
Charles Sanders Peirce ( ; September 10, 1839 – April 19, 1914) was an American scientist, mathematician, logician, and philosopher who is sometimes known as "the father of pragmatism". According to philosopher Paul Weiss (philosopher), Paul ...
.
However, British philosophy in the late 19th century was dominated by
British idealism, a
neo-Hegelian movement, as taught by philosophers such as
F. H. Bradley (1846–1924) and
T. H. Green
Thomas Hill Green (7 April 183626 March 1882), known as T. H. Green, was an English philosopher, political Radicalism (historical), radical and Temperance movement, temperance reformer, and a member of the British idealism movement. Like ...
(1836–1882).
Russell
Analytic philosophy in the narrower sense of 20th and 21st century anglophone philosophy is usually thought to begin with
Cambridge
Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
philosophers Bertrand Russell and G. E. Moore's rejection of
Hegelianism
Georg Wilhelm Friedrich Hegel (27 August 1770 – 14 November 1831) was a 19th-century German idealism, German idealist. His influence extends across a wide range of topics from metaphysical issues in epistemology and ontology, to political phi ...
for being obscure; or the "revolt against idealism"—see for example Moore's "
A Defence of Common Sense". Russell summed up Moore's influence:
An important aspect of Hegelianism and British idealism was
logical holism—the opinion that there are aspects of the world that can be known only by knowing the whole world. This is closely related to the
doctrine of internal relations, the opinion that
relations between items are ''internal relations'', that is, essential
properties
Property is the ownership of land, resources, improvements or other tangible objects, or intellectual property.
Property may also refer to:
Philosophy and science
* Property (philosophy), in philosophy and logic, an abstraction characterizing an ...
of the nature of those items. Russell and Moore in response promulgated
logical atomism
Logical atomism is a philosophical view that originated in the early 20th century with the development of analytic philosophy. It holds that the world consists of ultimate logical "facts" (or "atoms") that cannot be broken down any further, each ...
and the doctrine of ''external relations''—the belief that the world consists of
independent facts.
Inspired by developments in modern
formal logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
, the early Russell claimed that the problems of philosophy can be solved by showing the simple constituents of complex notions.
Logical form
In logic, the logical form of a statement is a precisely specified semantic version of that statement in a formal system. Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unamb ...
would be made clear by
syntax
In linguistics, syntax ( ) is the study of how words and morphemes combine to form larger units such as phrases and sentences. Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituenc ...
.
For example, the English word ''is'' has three distinct meanings, which predicate logic can express as follows:
* For the sentence 'the cat ''is'' asleep', the ''is'' of
predication means that "x is P" (denoted as P(x)).
* For the sentence 'there ''is'' a cat', the ''is'' of existence means that "there is an x" (∃x).
* For the sentence 'three ''is'' half of six', the ''is'' of identity means that "x is the same as y" (x=y).
From about 1910 to 1930, analytic philosophers like Frege, Russell, Moore, and Russell's student
Ludwig Wittgenstein
Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.
From 1929 to 1947, Witt ...
emphasized creating an
ideal language for philosophical analysis, which would be free from the ambiguities of ordinary language that, in their opinion, often made philosophers incorrect.
Paradox
Russell famously discovered the
paradox
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictor ...
in
Basic Law V which undermined Frege's logicist project. However, like Frege, Russell argued that mathematics is reducible to logical fundamentals, in ''
The Principles of Mathematics
''The Principles of Mathematics'' (''PoM'') is a 1903 book by Bertrand Russell, in which the author presented Russell's paradox, his famous paradox and argued his thesis that mathematics and logic are identical.
The book presents a view of ...
'' (1903). He also argued for
Meinongianism.
"On Denoting"
During his early career, Russell adopted Frege's predicate logic as his primary philosophical method, thinking it could expose the underlying structure of philosophical problems. This was done most famously in his
theory
A theory is a systematic and rational form of abstract thinking about a phenomenon, or the conclusions derived from such thinking. It involves contemplative and logical reasoning, often supported by processes such as observation, experimentation, ...
of
definite description
In formal semantics and philosophy of language, a definite description is a denoting phrase in the form of "the X" where X is a noun-phrase or a singular common noun. The definite description is ''proper'' if X applies to a unique individual or ...
s in "
On Denoting
"On Denoting" is an essay by Bertrand Russell. It was published in the philosophy journal ''Mind (journal), Mind'' in 1905. In it, Russell introduces and advocates his theory of denoting phrases, according to which definite descriptions and other ...
", published in ''
Mind
The mind is that which thinks, feels, perceives, imagines, remembers, and wills. It covers the totality of mental phenomena, including both conscious processes, through which an individual is aware of external and internal circumstances ...
'' in 1905. Russell here argues against Meinongianism. He argues all
name
A name is a term used for identification by an external observer. They can identify a class or category of things, or a single thing, either uniquely, or within a given context. The entity identified by a name is called its referent. A person ...
s (aside from demonstratives like ''this'' or ''that'') are disguised definite descriptions, using this to solve ascriptions of nonexistence. This position came to be called
descriptivism.
''Principia Mathematica''
Later, his book written with
Alfred North Whitehead
Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He created the philosophical school known as process philosophy, which has been applied in a wide variety of disciplines, inclu ...
, ''
Principia Mathematica
The ''Principia Mathematica'' (often abbreviated ''PM'') is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1 ...
'' (1910–1913), the seminal text of
classical logic
Classical logic (or standard logic) or Frege–Russell logic is the intensively studied and most widely used class of deductive logic. Classical logic has had much influence on analytic philosophy.
Characteristics
Each logical system in this c ...
and of the logicist project, encouraged many philosophers to renew their interest in the development of
symbolic logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
. It used a
notation
In linguistics and semiotics, a notation system is a system of graphics or symbols, Character_(symbol), characters and abbreviated Expression (language), expressions, used (for example) in Artistic disciplines, artistic and scientific disciplines ...
from Italian logician
Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much Mathematical notati ...
, and it uses a
theory of types to avoid the pitfalls of Russell's paradox. Whitehead developed
process metaphysics in ''
Process and Reality
''Process and Reality'' is a book by Alfred North Whitehead, in which the author propounds a philosophy of organism, also called process philosophy. The book, published in 1929, is a revision of the Gifford Lectures he gave in 1927–28.
Wh ...
''.
Early Wittgenstein
Ludwig Wittgenstein
Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.
From 1929 to 1947, Witt ...
developed a comprehensive system of logical atomism with a
picture theory of meaning in his ''
Tractatus Logico-Philosophicus
The ''Tractatus Logico-Philosophicus'' (widely abbreviated and Citation, cited as TLP) is the only book-length philosophical work by the Austrian philosopher Ludwig Wittgenstein that was published during his lifetime. The project had a broad goal ...
'' (, 1921) sometimes known as simply the ''Tractatus''. He claimed the universe is the totality of actual states of affairs and that these states of affairs can be expressed and mirrored by the language of first-order predicate logic. Thus, a
picture of the universe can be constructed by expressing facts in the form of atomic propositions and linking them using
logical operator
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. Connectives can be used to connect logical formulas. For instance in the syntax of propositional logic, the ...
s. The ''Tractatus'' introduced philosophers to the
truth table
A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arg ...
method.
Wittgenstein thought he had solved all the problems of philosophy with the ''Tractatus''. The work further ultimately concludes that all of its propositions are meaningless, illustrated with a
ladder one must toss away after climbing up it.
Logical positivism
During the late 1920s to 1940s, a group of philosophers known as the
Vienna Circle
The Vienna Circle () of logical empiricism was a group of elite philosophers and scientists drawn from the natural and social sciences, logic and mathematics who met regularly from 1924 to 1936 at the University of Vienna, chaired by Moritz Sc ...
, and another one known as the
Berlin Circle
The Berlin Circle () was a group that maintained logical empiricist views about philosophy.
History
The "Berlin Circle" had its roots in seminars by Hans Reichenbach between 1926-1928, resulting in the formation of a group that included Reichenb ...
, developed Russell and Wittgenstein's philosophy into a doctrine known as "
logical positivism
Logical positivism, also known as logical empiricism or neo-positivism, was a philosophical movement, in the empiricist tradition, that sought to formulate a scientific philosophy in which philosophical discourse would be, in the perception of ...
" (or logical empiricism). The Vienna Circle was led by
Moritz Schlick
Friedrich Albert Moritz Schlick (; ; 14 April 1882 – 22 June 1936) was a German philosopher, physicist, and the founding father of logical positivism and the Vienna Circle. He was murdered by a former student, Johann Nelböck, in 1936.
Early ...
and included
Rudolf Carnap
Rudolf Carnap (; ; 18 May 1891 – 14 September 1970) was a German-language philosopher who was active in Europe before 1935 and in the United States thereafter. He was a major member of the Vienna Circle and an advocate of logical positivism.
...
and
Otto Neurath. The Berlin Circle was led by
Hans Reichenbach
Hans Reichenbach (; ; September 26, 1891 – April 9, 1953) was a leading philosopher of science, educator, and proponent of logical empiricism. He was influential in the areas of science, education, and of logical empiricism. He founded the ''G ...
and included
Carl Hempel and mathematician
David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time.
Hilbert discovered and developed a broad range of fundamental idea ...
.
Logical positivists used formal logical methods to develop an empiricist account of knowledge. They adopted the
verification principle, according to which every meaningful statement is either
analytic or synthetic. The truths of logic and mathematics were
tautologies, and those of science were verifiable empirical claims. These two constituted the entire universe of meaningful judgments; anything else was nonsense.
This led the logical positivists to reject many traditional problems of philosophy, especially those of
metaphysics
Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
, as meaningless. It had the additional effect of making (ethical and aesthetic) value judgments (as well as religious statements and beliefs) meaningless. Logical positivists therefore typically considered philosophy as having a
minimal function. For them, philosophy concerned the clarification of thoughts, rather than having a distinct subject matter of its own.
Several logical positivists were Jewish, such as Neurath,
Hans Hahn,
Philipp Frank
Philipp Frank (; March 20, 1884 – July 21, 1966) was an Austrian-American physicist, mathematician and philosopher of the early-to-mid 20th century. He was a logical positivism, logical positivist, and a member of the Vienna Circle. He was infl ...
,
Friedrich Waissmann, and Reichenbach. Others, like Carnap, were gentiles but socialists or pacifists. With the coming to power of
Adolf Hitler
Adolf Hitler (20 April 1889 – 30 April 1945) was an Austrian-born German politician who was the dictator of Nazi Germany from 1933 until Death of Adolf Hitler, his suicide in 1945. Adolf Hitler's rise to power, He rose to power as the lea ...
and
Nazism
Nazism (), formally named National Socialism (NS; , ), is the far-right totalitarian socio-political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Germany. During Hitler's rise to power, it was fre ...
in 1933, many members of the Vienna and Berlin Circles fled to Britain and the United States, which helped to reinforce the dominance of logical positivism and analytic philosophy in anglophone countries.
In 1936, Schlick was murdered in Vienna by his former student
Hans Nelböck. The same year,
A. J. Ayer's work ''
Language Truth and Logic'' introduced the English speaking world to logical positivism.
The logical positivists saw their rejection of metaphysics in some ways as a recapitulation of a quote by
David Hume
David Hume (; born David Home; – 25 August 1776) was a Scottish philosopher, historian, economist, and essayist who was best known for his highly influential system of empiricism, philosophical scepticism and metaphysical naturalism. Beg ...
:
If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, Does it contain any abstract reasoning concerning quantity or number? No. Does it contain any experimental reasoning concerning matter of fact and existence? No. Commit it then to the flames: for it can contain nothing but sophistry and illusion.
Ordinary language
After
World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, from the late 1940s to the 1950s, analytic philosophy became involved with ordinary-language analysis. This resulted in two main trends.
Later Wittgenstein
One strain of language analysis continued Wittgenstein's later philosophy, from the ''
Philosophical Investigations
''Philosophical Investigations'' () is a work by the philosopher Ludwig Wittgenstein, published posthumously in 1953.
''Philosophical Investigations'' is divided into two parts, consisting of what Wittgenstein calls, in the preface, ''Bemer ...
'' (1953), which differed dramatically from his early work of the ''Tractatus''. The criticisms of
Frank P. Ramsey
Frank Plumpton Ramsey (; 22 February 1903 – 19 January 1930) was a British people, British philosopher, mathematician, and economist who made major contributions to all three fields before his death at the age of 26. He was a close friend of ...
on color and logical form in the ''Tractatus'' led to some of Wittgenstein's first doubts with regard to his early philosophy. Philosophers refer to them like two different philosophers: "early Wittgenstein" and "later Wittgenstein". In his later philosophy, Wittgenstein develops the concept of a "
language-game" and, rather than his prior picture theory of meaning, advocates a theory of
meaning as use. It also contains the
private language argument and the notion of
family resemblance
Family resemblance () is a philosophical idea made popular by Ludwig Wittgenstein, with the best known exposition given in his posthumously published book '' Philosophical Investigations'' (1953). It argues that things which could be thought to b ...
.
Oxford philosophy
The other trend was known as "
Oxford
Oxford () is a City status in the United Kingdom, cathedral city and non-metropolitan district in Oxfordshire, England, of which it is the county town.
The city is home to the University of Oxford, the List of oldest universities in continuou ...
philosophy", in contrast to earlier analytic Cambridge philosophers (including the early Wittgenstein) who thought philosophers should avoid the deceptive trappings of natural language by constructing ideal languages. Influenced by Moore's ''Common Sense'' and what they perceived as the later Wittgenstein's
quietism, the Oxford philosophers claimed that ordinary language already represents many subtle distinctions not recognized in the formulation of traditional philosophical theories or problems.
While schools such as logical positivism emphasize logical terms, which are supposed to be universal and separate from contingent factors (such as culture, language, historical conditions), ordinary-language philosophy emphasizes the use of language by ordinary people. The most prominent ordinary-language philosophers during the 1950s were
P. F. Strawson,
J. L. Austin, and
Gilbert Ryle
Gilbert Ryle (19 August 1900 – 6 October 1976) was a British philosopher, principally known for his critique of Cartesian dualism, for which he coined the phrase " ghost in the machine". Some of Ryle's ideas in philosophy of mind have been ca ...
.
Ordinary-language philosophers often sought to resolve philosophical problems by showing them to be the result of misunderstanding ordinary language. Ryle, in ''
The Concept of Mind'' (1949), criticized Cartesian
dualism, arguing in favor of disposing of "
Descartes' myth" via recognizing "
category errors".
Strawson first became well known with his article "On Referring" (1950), a criticism of Russell's theory of descriptions explained in the latter's famous "On Denoting" article. In his book ''Individuals'' (1959), Strawson examines our conceptions of basic
particulars. Austin, in the posthumously published ''
How to Do Things with Words
John Langshaw Austin (26 March 1911 – 8 February 1960) was an English philosophy of language, philosopher of language and leading proponent of ordinary language philosophy, best known for developing the theory of speech acts.
Austin pointe ...
'' (1962), emphasized the theory of
speech act
In the philosophy of language and linguistics, a speech act is something expressed by an individual that not only presents information but performs an action as well. For example, the phrase "I would like the mashed potatoes; could you please pas ...
s and the ability of words to
do things (e.g. "I promise") and not just say things. This influenced several fields to undertake what is called a
performative turn
Performativity is the concept that language can function as a form of social action and have the effect of change. The concept has multiple applications in diverse fields such as anthropology, Social geography, social and cultural geography, econo ...
. In ''
Sense and Sensibilia'' (1962), Austin criticized
sense-data theories.
Spread
Australia and New Zealand
The school known as
Australian realism began when
John Anderson accepted the Challis Chair of Philosophy at the
University of Sydney
The University of Sydney (USYD) is a public university, public research university in Sydney, Australia. Founded in 1850, it is the oldest university in both Australia and Oceania. One of Australia's six sandstone universities, it was one of the ...
in 1927. His elder brother was William Anderson, Professor of Philosophy at
Auckland University College from 1921 to his death in 1955, who was described as "the most dominant figure in New Zealand philosophy."
J. N. Findlay was a student of
Ernst Mally of the Austrian realists and taught at the
University of Otago
The University of Otago () is a public university, public research university, research collegiate university based in Dunedin, Otago, New Zealand. Founded in 1869, Otago is New Zealand's oldest university and one of the oldest universities in ...
.
Finland
The Finnish
Georg Henrik von Wright succeeded Wittgenstein at Cambridge in 1948.
Contemporary developments
Metaphysics
One difference with respect to early analytic philosophy was the revival of metaphysical theorizing during the second half of the 20th century, and metaphysics remains a fertile topic of research. Although many discussions are continuations of old ones from previous decades and centuries, the debates remains active.
[Van Inwagen, Peter, and Dean Zimmerman (eds.) (1998), ''Metaphysics: The Big Questions.'']
Decline of logical positivism
The rise of metaphysics mirrored the decline of logical positivism, first challenged by the later Wittgenstein.
= Sellars
=
Wilfred Sellars
Wilfrid Stalker Sellars (; May 20, 1912 – July 2, 1989) was an American philosopher and prominent developer of Critical realism (philosophy of perception), critical realism who "revolutionized both the content and the method of philosophy in t ...
's criticism of the "Myth of the Given", in ''Empiricism and the Philosophy of Mind'' (1956), challenged logical positivism by arguing against sense-data theories. In his "Philosophy and the Scientific Image of Man" (1962), Sellars distinguishes between the "manifest image" and the "scientific image" of the world. Sellars's goal of a
synoptic philosophy that unites the everyday and scientific views of reality is the foundation and archetype of what is sometimes called the Pittsburgh School, whose members include
Robert Brandom,
John McDowell
John Henry McDowell (born 7 March 1942) is a South African philosopher, formerly a fellow of University College, Oxford, and now university professor at the University of Pittsburgh. Although he has written on metaphysics, epistemology, anci ...
, and
John Haugeland.
= Quine
=

Also among the developments that resulted in the decline of logical positivism and the revival of metaphysical theorizing was
Harvard
Harvard University is a private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher lear ...
philosopher
W. V. O. Quine's attack on the
analytic–synthetic distinction
The analytic–synthetic distinction is a semantic distinction used primarily in philosophy to distinguish between propositions (in particular, statements that are affirmative subject– predicate judgments) that are of two types: analytic propos ...
in "
Two Dogmas of Empiricism
"Two Dogmas of Empiricism" is a canonical essay by analytic philosopher Willard Van Orman Quine published in 1951. According to University of Sydney professor of philosophy Peter Godfrey-Smith, this "paper ssometimes regarded as the most impor ...
", published in 1951 in ''
The Philosophical Review
''The Philosophical Review'' is a quarterly journal of philosophy edited by the faculty of the Sage School of Philosophy at Cornell University. Since September 2006, it is published by Duke University Press.
Overview
The journal publishes origin ...
'' and republished in Quine's book ''From A Logical Point of View'' (1953), a paper "sometimes regarded as the most important in all of
twentieth-century philosophy".
[ Reprinted in his 1953 ''From a Logical Point of View''. Harvard University Press.]
''From a Logical Point of View'' also contains Quine's essay "
On What There Is" (1948), which elucidates Russell's theory of descriptions and contains Quine's famous dictum of
ontological commitment
Ontology is the philosophical study of being. It is traditionally understood as the subdiscipline of metaphysics focused on the most general features of reality. As one of the most fundamental concepts, being encompasses all of reality and every ...
, "To be is to be the value of a
variable". He also dubbed the problem of nonexistence
Plato's beard.
Quine sought to naturalize philosophy and saw philosophy as continuous with science, but instead of logical positivism advocated a kind of
semantic holism and
ontological relativity
Ontology is the philosophical study of existence, being. It is traditionally understood as the subdiscipline of metaphysics focused on the most general features of reality. As one of the most fundamental concepts, being encompasses all of realit ...
, which explained that every term in any statement has its meaning contingent on a vast network of knowledge and belief, the speaker's conception of the entire world. In his magnum opus ''
Word and Object
''Word and Object'', philosopher Willard Van Orman Quine's most famous work, expands on ideas in ''From a Logical Point of View'' (1953) and reformulates earlier arguments like his attack on the analytic–synthetic distinction from " Two Dogmas ...
'' (1960), Quine introduces the idea of
radical translation, an introduction to his theory of the
indeterminacy of translation, and specifically to prove the
inscrutability of reference.
= Kripke
=

Important also for the revival of metaphysics was the further development of
modal logic
Modal logic is a kind of logic used to represent statements about Modality (natural language), necessity and possibility. In philosophy and related fields
it is used as a tool for understanding concepts such as knowledge, obligation, and causality ...
, first introduced by pragmatist
C. I. Lewis, especially the work of
Saul Kripke
Saul Aaron Kripke (; November 13, 1940 – September 15, 2022) was an American analytic philosophy, analytic philosopher and logician. He was Distinguished Professor of Philosophy at the Graduate Center of the City University of New York and emer ...
and his ''
Naming and Necessity'' (1980).
According to one author, ''Naming and Necessity'' "played a large role in the implicit, but widespread, rejection of the view—so popular among ordinary language philosophers—that philosophy is nothing more than the analysis of language."
[Soames, Scott. 2005. ''Philosophical Analysis in the Twentieth Century: Volume 2: The Age of Meaning''. ]Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large.
The press was founded by Whitney Darrow, with the financial ...
. Cited in Byrne, Alex and Hall, Ned. 2004. 'Necessary Truths'. ''Boston Review'' October/November 2004.
Kripke was influential in arguing that flaws in common theories of descriptions and proper names are indicative of larger misunderstandings of the
metaphysics
Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
of necessity and
possibility. Kripke also argued that
necessity
Necessary or necessity may refer to:
Concept of necessity
* Need
** An action somebody may feel they must do
** An important task or essential thing to do at a particular time or by a particular moment
* Necessary and sufficient condition, in l ...
is a metaphysical notion distinct from the
epistemic notion of ''
a priori
('from the earlier') and ('from the later') are Latin phrases used in philosophy to distinguish types of knowledge, Justification (epistemology), justification, or argument by their reliance on experience. knowledge is independent from any ...
'', and that there are
necessary truths that are known ''
a posteriori
('from the earlier') and ('from the later') are Latin phrases used in philosophy to distinguish types of knowledge, justification, or argument by their reliance on experience. knowledge is independent from any experience. Examples include ...
'', such as that water is H
2O.
[ Zimmerman, Dean W., "Prologue" in ''Oxford Studies in Metaphysics, Volume 1'' (Oxford University Press, 2004), p. xix.]
Kripke is widely regarded as having revived theories of
essence
Essence () has various meanings and uses for different thinkers and in different contexts. It is used in philosophy and theology as a designation for the property (philosophy), property or set of properties or attributes that make an entity the ...
and
identity as respectable topics of philosophical discussion.
Kripke and
Hilary Putnam
Hilary Whitehall Putnam (; July 31, 1926 – March 13, 2016) was an American philosopher, mathematician, computer scientist, and figure in analytic philosophy in the second half of the 20th century. He contributed to the studies of philosophy of ...
argued for realism about
natural kinds. Kripke holds that it is
essential that water is H
2O, or for
gold
Gold is a chemical element; it has chemical symbol Au (from Latin ) and atomic number 79. In its pure form, it is a brightness, bright, slightly orange-yellow, dense, soft, malleable, and ductile metal. Chemically, gold is a transition metal ...
to be
atomic number
The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of its atomic nucleus. For ordinary nuclei composed of protons and neutrons, this is equal to the proton number (''n''p) or the number of pro ...
79. Putnam's
Twin Earth thought experiment can be used to illustrate the same point with water.
= David Lewis
=
American philosopher
David Lewis defended a number of elaborate metaphysical theories. In works such as ''
On the Plurality of Worlds'' (1986) and ''Counterfactuals'' (1973) he argued for
modal realism and
counterpart theorythe belief in real, concrete
possible world
A possible world is a complete and consistent way the world is or could have been. Possible worlds are widely used as a formal device in logic, philosophy, and linguistics in order to provide a semantics for intensional and modal logic. Their met ...
s. According to Lewis, "actual" is merely an indexical label we give a world when we are in it. Lewis also defended what he called Humean
supervenience, a
counterfactual theory of
causation, and contributed to
abstract object
In philosophy and the arts, a fundamental distinction exists between abstract and concrete entities. While there is no universally accepted definition, common examples illustrate the difference: numbers, sets, and ideas are typically classif ...
theory.
He became closely associated with Australia, whose philosophical community he visited almost annually for more than 30 years.
Universals
In response to the
problem
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business an ...
of
universals, Australian
David Malet Armstrong
David Malet Armstrong (8 July 1926 – 13 May 2014), often D. M. Armstrong, was an Australian philosopher. He is well known for his work on metaphysics and the philosophy of mind, and for his defence of a factualist ontology, a function ...
defended a kind of
moderate realism
Moderate realism (also called immanent realism) is a position in the debate on the metaphysics of universals which holds that there is no realm in which universals exist (in opposition to Platonic realism, which asserts the existence of abstrac ...
. Quine and Lewis defended
nominalism
In metaphysics, nominalism is the view that universals and abstract objects do not actually exist other than being merely names or labels. There are two main versions of nominalism. One denies the existence of universals—that which can be inst ...
.
Mereology
Polish philosopher
Stanisław Leśniewski coined the term
mereology
Mereology (; from Greek μέρος 'part' (root: μερε-, ''mere-'') and the suffix ''-logy'', 'study, discussion, science') is the philosophical study of part-whole relationships, also called ''parthood relationships''. As a branch of metaphys ...
, which is the formal study of parts and wholes, a subject that arguably goes back to the time of the
pre-Socratics
Pre-Socratic philosophy, also known as early Greek philosophy, is ancient Greek philosophy before Socrates. Pre-Socratic philosophers were mostly interested in cosmology, the beginning and the substance of the universe, but the inquiries of the ...
. David Lewis believed in
perdurantism
Perdurantism or perdurance theory is a philosophical theory of persistence and identity.[Temporal parts](_blank) and introduced the term '
gunk'.
Peter Van Inwagen believes in
mereological nihilism, except for living beings, a view called
organicism
Organicism is the philosophical position that states that the universe and its various parts (including human societies) ought to be considered alive and naturally ordered, much like a living organism.Gilbert, S. F., and S. Sarkar. 2000. "Emb ...
.
Free will and determinism
Peter van Inwagen's 1983
monograph
A monograph is generally a long-form work on one (usually scholarly) subject, or one aspect of a subject, typically created by a single author or artist (or, sometimes, by two or more authors). Traditionally it is in written form and published a ...
''An Essay on Free Will'' played an important role in rehabilitating
libertarianism
Libertarianism (from ; or from ) is a political philosophy that holds freedom, personal sovereignty, and liberty as primary values. Many libertarians believe that the concept of freedom is in accord with the Non-Aggression Principle, according t ...
with respect to
free will
Free will is generally understood as the capacity or ability of people to (a) choice, choose between different possible courses of Action (philosophy), action, (b) exercise control over their actions in a way that is necessary for moral respon ...
, in mainstream analytical philosophy. In the book, he introduces the
consequence argument and the term
incompatibilism
Incompatibilism is the view that the thesis of determinism is logically incompatible with the classical thesis of free will. The term was coined in the 1960s, most likely by philosopher Keith Lehrer. The term ''compatibilism'' was coined (also by ...
about free will and
determinism
Determinism is the Metaphysics, metaphysical view that all events within the universe (or multiverse) can occur only in one possible way. Deterministic theories throughout the history of philosophy have developed from diverse and sometimes ov ...
, to stand in contrast to
compatibilism—the view that free will is compatible with determinism.
Charlie Broad had previously made similar arguments.
Personal identity
Since
John Locke
John Locke (; 29 August 1632 (Old Style and New Style dates, O.S.) – 28 October 1704 (Old Style and New Style dates, O.S.)) was an English philosopher and physician, widely regarded as one of the most influential of the Enlightenment thi ...
, philosophers have been concerned with the problem of
personal identity
Personal identity is the unique numerical identity of a person over time. Discussions regarding personal identity typically aim to determine the necessary and sufficient conditions under which a person at one time and a person at another time ...
.
Derek Parfit
Derek Antony Parfit (; 11 December 1942 – 2 January 2017) was a British philosopher who specialised in personal identity, rationality, and ethics. He is widely considered one of the most important and influential moral philosophers of the lat ...
in ''
Reasons and Persons
''Reasons and Persons'' is a 1984 book by the philosopher Derek Parfit, in which the author discusses ethics, rationality and personal identity.
It is divided into four parts, dedicated to self-defeating theories, rationality and time, personal ...
'' (1984) defends a kind of
bundle theory, while David Lewis again defends perdurantism.
Bernard Williams
Sir Bernard Arthur Owen Williams (21 September 1929 – 10 June 2003) was an English Ethics, moral philosopher. His publications include ''Problems of the Self'' (1973), ''Ethics and the Limits of Philosophy'' (1985), ''Shame and Necessit ...
in ''The Self and the Future'' (1970) argues that personal identity is bodily identity rather than mental continuity.
Principle of sufficient reason
Since
Leibniz
Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many ...
philosophers have discussed the
principle of sufficient reason
The principle of sufficient reason states that everything must have a Reason (argument), reason or a cause. The principle was articulated and made prominent by Gottfried Wilhelm Leibniz, with many antecedents, and was further used and developed by ...
or PSR. Van Inwagen criticizes the PSR.
Alexander Pruss defends it.
Philosophy of time
Analytic
philosophy of time
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, value, mind, and language. It is a rational and critical inquiry that reflects on ...
traces its roots to the British idealist
J. M. E. McTaggart's article "
The Unreality of Time" (1908). In it, McTaggart distinguishes between the dynamic,
A-, or tensed, theory of time (past, present, future), in which
time flows; and the static or tenseless
B-theory of time (earlier than, simultaneous with, later than).
Eternalism holds that past, present, and future are equally real. In contrast,
Presentism holds that only entities in the present exist.
The theory of special relativity seems to advocate a B-theory of time. David Lewis's perdurantism, or
four-dimensionalism, requires a B-theory of time.
A. N. Prior, who invented
tense logic, advocated the A-theory of time.
Logical pluralism
Many-valued and
non-classical logics have been popular since the Polish logician
Jan Lukasiewicz
Jan, JaN or JAN may refer to:
Acronyms
* Jackson, Mississippi (Amtrak station), US, Amtrak station code JAN
* Jackson-Evers International Airport, Mississippi, US, IATA code
* Jabhat al-Nusra (JaN), a Syrian militant group
* Japanese Article Nu ...
.
Graham Priest
Graham Priest (born 1948) is a philosopher and logician who is distinguished professor of philosophy at the CUNY Graduate Center, as well as a regular visitor at the University of Melbourne, where he was Boyce Gibson Professor of Philosophy an ...
is a
dialetheist, seeing it as the most natural solution to problems such as the
liar paradox
In philosophy and logic, the classical liar paradox or liar's paradox or antinomy of the liar is the statement of a liar that they are lying: for instance, declaring that "I am lying". If the liar is indeed lying, then the liar is telling the trut ...
.
JC Beall, together with
Greg Restall
Greg Restall (born 11 January 1969) is an Australian philosopher and Professor of Philosophy at the University of St Andrews.
He is a fellow of the Australian Academy of the Humanities.
Restall is known for his research on logic and theories ...
, is a pioneer of a widely-discussed version of
logical pluralism.
Epistemology
Justification
= Gettier
=

Owing largely to
Edmund Gettier's 1963 paper "Is Justified True Belief Knowledge?", and the so-called
Gettier problem, epistemology has enjoyed a resurgence as a topic of analytic philosophy during the last 50 years. A large portion of current epistemological research is intended to resolve the problems that Gettier's examples presented to the traditional "justified true belief" model of knowledge, found as early as Plato's dialogue ''
Theaetetus''. These include developing
theories of justification
Justification (also called epistemic justification) is a property of beliefs that fulfill certain norms about what a person should believe. Epistemology, Epistemologists often identify justification as a component of knowledge distinguishing it f ...
to deal with Gettier's examples, or giving alternatives to the justified-true-belief model.
= Theories
=
Chisholm defended
foundationalism
Foundationalism concerns philosophical theories of knowledge resting upon non-inferential justified belief, or some secure foundation of certainty such as a conclusion inferred from a basis of sound premises.Simon Blackburn, ''The Oxford Dict ...
. Quine defended
coherentism
In philosophical epistemology, there are two types of coherentism: the coherence theory of truth, and the coherence theory of justification (also known as epistemic coherentism).
Coherent truth is divided between an anthropological approach, w ...
, a "web of belief". Quine proposed
naturalized epistemology
Naturalized epistemology (a term coined by W. V. O. Quine) is a collection of philosophic views about the theory of knowledge that emphasize the role of natural scientific methods. This shared emphasis on scientific methods of studying knowledg ...
.
Internalism and externalism
The debate between
internalism and externalism still exists in analytic philosophy.
Alvin Goldman
Alvin Ira Goldman (October 1, 1938 – August 4, 2024) was an American philosopher who was emeritus Board of Governors Professor of Philosophy and Cognitive Science at Rutgers University in New Jersey and a leading figure in epistemology.
Educat ...
is an externalist known for developing a popular form of externalism called
reliabilism
Reliabilism, a category of theories in the philosophical discipline of epistemology, has been advanced as a theory both of justification and of knowledge. Process reliabilism has been used as an argument against philosophical skepticism, such as ...
. Most externalists reject the
KK thesis, which has been disputed since the introduction of the epistemic logic by
Jaakko Hintikka in 1962.
Problem of the Criterion
While a problem since antiquity, American philosopher
Roderick Chisholm, in his ''Theory of Knowledge'', details the
problem of the criterion
In the field of epistemology, the problem of the criterion is an issue regarding the starting point of knowledge. This is a separate and more fundamental issue than the regress argument found in discussions on justification of knowledge.
In W ...
with two sets of questions:
# What do we know? or What is the extent of our knowledge?
# How do we know? or What is the criterion for deciding whether we have knowledge in any particular case?
An answer to either set of questions will allow us to devise a means of answering the other. Answering the former question-set first is called ''
particularism'', whereas answering the latter set first is called ''
methodism
Methodism, also called the Methodist movement, is a Protestant Christianity, Christian Christian tradition, tradition whose origins, doctrine and practice derive from the life and teachings of John Wesley. George Whitefield and John's brother ...
''. A third solution is ''
skepticism
Skepticism ( US) or scepticism ( UK) is a questioning attitude or doubt toward knowledge claims that are seen as mere belief or dogma. For example, if a person is skeptical about claims made by their government about an ongoing war then the p ...
'', or doubting there is such a thing as knowledge.
Truth

Frege questioned standard theories of
truth
Truth or verity is the Property (philosophy), property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth, 2005 In everyday language, it is typically ascribed to things that aim to represent reality or otherwise cor ...
, and sometimes advocated a
redundancy theory of truth
According to the redundancy theory of truth (also known as the disquotational theory of truth), asserting that a statement is true is completely equivalent to asserting the statement itself. For example, asserting the sentence Snow is white' is tru ...
. Frank Ramsey also advocated a redundancy theory. Alfred Tarski put forward a semantic theory of truth.
[Lwów–Warsaw school#F-F, Feferman & Feferman, p. 1]
In ''Truth-Makers'' (1984), Kevin Mulligan, Peter Simons (academic), Peter Simons, and Barry Smith (academic), Barry Smith introduced the Truthmaker theory, truth-maker idea as a contribution to the correspondence theory of truth. A truth-maker is contrasted with a truth-bearer.
Closure

Epistemic closure is the claim that knowledge is closed under Logical consequence, entailment; in other words epistemic closure is a Property (philosophy), property or the Concept, principle that if a subject
knows
, and
knows that
Logical consequence, entails
, then
can thereby come to know
.
Most Epistemology, epistemological theories involve a closure principle, and many skeptical arguments assume a closure principle. In ''Proof of An External World'', G. E. Moore uses closure in his famous anti-skeptical "here is one hand" argument. Shortly before his death, Wittgenstein wrote ''On Certainty'' in response to Moore.
While the principle of epistemic closure is generally regarded as intuitive, philosophers, such as Fred Dretske with relevant alternatives theory and Robert Nozick in ''Philosophical Explanations'', have argued against it.
Induction
In his book ''Fact, Fiction, and Forecast'', Nelson Goodman introduced the "new riddle of induction", so-called by analogy with David Hume, Hume's classical problem of induction. Goodman's famous example was to introduce the predicates New riddle of induction, grue and bleen. "Grue" applies to all things before a certain time ''t'', just in case they are green, but also just in case they are blue after time ''t''; and "bleen" applies to all things before a certain time ''t'', just in the case they are blue, but also just in case they are green after time ''t''.
Other topics
Other, related topics of contemporary research include debates over basic knowledge, the nature of evidence, the value of knowledge, epistemic luck, virtue epistemology, the role of intuition (philosophy), intuitions in justification, and treating knowledge as a primitive concept.
Ethics
Due to the commitments to empiricism and
symbolic logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
in the early analytic period, early analytic philosophers often thought that inquiry in the ethical domain could not be made rigorous enough to merit any attention.
It was only with the emergence of ordinary-language philosophers that ethics started to become an acceptable area of inquiry for analytic philosophers.
Philosophers working within the analytic tradition have gradually come to distinguish three major types of moral philosophy.
* Meta-ethics, which investigates moral terms and concepts;
* Normative ethics, which examines and produces normative ethical judgments;
* Applied ethics, which investigates how existing normative principles should be applied to difficult or borderline cases, often cases created by new technology or new scientific knowledge.
Meta-ethics
As well as Hume's famous Is–ought problem, is/ought distinction, twentieth-century meta-ethics has two original strains.
= ''Principia Ethica''
=
The first is
G. E. Moore
George Edward Moore (4 November 1873 – 24 October 1958) was an English philosopher, who with Bertrand Russell, Ludwig Wittgenstein and earlier Gottlob Frege was among the initiators of analytic philosophy. He and Russell began de-emphasizing ...
's investigation into the nature of ethical terms (e.g., good) in his ''Principia Ethica'' (1903), which advances a kind of moral realism called ethical non-naturalism and is known for the Open-question argument, open question argument and identifying the naturalistic fallacy, a major topic of investigation for analytical philosophers. According to Moore, "Goodness and value theory, Goodness is a simple, undefinable, non-natural Property (philosophy), property."
Contemporary philosophers, such as Russ Shafer-Landau in ''Moral Realism: A Defence'', defend ethical non-naturalism.
= Emotivism
=
The second is founded on logical positivism and its attitude that unverifiable statements are meaningless. As a result, they avoided normative ethics and instead began meta-ethics, meta-ethical investigations into the nature of moral terms, statements, and judgments.
The logical positivists opined that statements about Value (ethics), value—including all ethical and aesthetic judgments—are non-cognitivism, non-cognitive; that is, they cannot be objectively verified or falsified. Instead, the logical positivists adopted an emotivism, emotivist theory, which was that value judgments expressed the attitude of the speaker. It is also known as the boo/hurrah theory. For example, in this view, saying, "Murder is wrong", is equivalent to saying, "Boo to murder", or saying the word "murder" with a particular tone of disapproval.
While analytic philosophers generally accepted non-cognitivism, emotivism had many deficiencies. It evolved into more sophisticated non-cognitivist theories, such as the expressivism of Charles Stevenson (philosopher), Charles Stevenson, and the universal prescriptivism of R. M. Hare, which was based on J. L. Austin's philosophy of speech acts.
= Critics
=
As non-cognitivism, the is/ought distinction, and the naturalistic fallacy were questioned, analytic philosophers showed a renewed interest in the traditional questions of moral philosophy.
Philippa Foot defended Ethical naturalism, naturalist moral realism and contributed several essays attacking other theories. Foot introduced the famous "trolley problem" into the ethical discourse.
[Philippa Foot,]
The Problem of Abortion and the Doctrine of the Double Effect
in ''Virtues and Vices'' (Oxford: Basil Blackwell, 1978) (originally in the ''Oxford Review'', No. 5, 1967).
Perhaps the most influential critic was Elizabeth Anscombe, whose monograph ''Intention'' was called by Donald Davidson (philosopher), Donald Davidson "the most important treatment of Action theory (philosophy), action since Aristotle". A favorite student and friend of Ludwig Wittgenstein, her 1958 article "Modern Moral Philosophy" declared the "is-ought" impasse to be unproductive. J.O. Urmson's article "On Grading" also called the is/ought distinction into question.
Australian J. L. Mackie, in ''Ethics: Inventing Right And Wrong'', defended anti-realist error theory.
Bernard Williams
Sir Bernard Arthur Owen Williams (21 September 1929 – 10 June 2003) was an English Ethics, moral philosopher. His publications include ''Problems of the Self'' (1973), ''Ethics and the Limits of Philosophy'' (1985), ''Shame and Necessit ...
also influenced ethics by advocating a kind of moral relativism and rejecting all other theories.
Normative ethics
The first half of the 20th century was marked by skepticism toward, and neglect of, normative ethics. However, contemporary normative ethics is dominated by three schools: consequentialism, virtue ethics, and deontology.
= Consequentialism, or Utilitarianism
=
During the early 20th century, utilitarianism was the only non-skeptical type of ethics to remain popular among analytic philosophers. However, as the influence of logical positivism declined mid-century, analytic philosophers had a renewed interest in ethics. ''Utilitarianism: For and Against'' was written with J. J. C. Smart arguing for and Bernard Williams arguing against.
= Virtue ethics
=
Anscombe, Foot, and Alasdair MacIntyre, Alasdair Macintyre's ''After Virtue'' sparked a revival of Aristotle's Virtue ethics, virtue ethical approach. This increased interest in virtue ethics has been dubbed the "Virtue ethics, aretaic turn" mimicking the linguistic turn.
= Deontology
=
John Rawls's 1971 ''A Theory of Justice'' restored interest in Kantian ethical philosophy.
Applied ethics
Since around 1970, a significant feature of analytic philosophy has been the emergence of applied ethics—an interest in the application of moral principles to specific practical issues. The philosophers following this orientation view ethics as involving humanistic values, which involve practical implications and applications in the way people interact and lead their lives socially.
Topics of special interest for applied ethics include environmental ethics, animal rights, and the many challenges created by advancing bioethics, medical science. In education, applied ethics addressed themes such as punishment in schools, Equal opportunity, equality of educational opportunity, and education for democracy.
Political philosophy
Liberalism
Isaiah Berlin had a lasting influence on both analytic political philosophy and liberalism with his lecture "Two Concepts of Liberty". Berlin defined 'negative liberty' as absence of coercion or interference in private actions. 'Positive liberty' Berlin maintained, could be thought of as self-mastery, which asks not what we are free from, but what we are free to do.
Current analytic political philosophy owes much to John Rawls, who in a series of papers from the 1950s onward (most notably "Two Concepts of Rules" and "Justice as Fairness") and his 1971 book ''A Theory of Justice'', produced a sophisticated defense of a generally liberal Egalitarianism, egalitarian account of distributive justice. Rawls introduced the term the Original position, veil of ignorance.
This was followed soon by Rawls's colleague Robert Nozick's book ''Anarchy, State, and Utopia'', a defense of free-market libertarianism. Consequentialist libertarianism also derives from the analytic tradition .
During recent decades there have also been several critics of liberalism, including the feminism, feminist critiques by Catharine MacKinnon and Andrea Dworkin, the multiculturalism, multiculturalist critiques by Amy Gutmann and Charles Taylor (philosopher), Charles Taylor, and the communitarianism, communitarian critiques by Michael Sandel and Alasdair MacIntyre (although neither of them endorses the term).
Analytical Marxism
Another development of political philosophy was the emergence of the school of analytical Marxism. Members of this school seek to apply techniques of analytic philosophy and modern social science to clarify the theories of Karl Marx and his successors. The best-known member of this school is G. A. Cohen, whose 1978 book, ''Karl Marx's Theory of History: A Defence'', is generally considered to represent the genesis of this school. In that book, Cohen used logical and linguistic analysis to clarify and defend Marx's materialist conception of history. Other prominent analytical Marxists include the economist John Roemer, the social scientist Jon Elster, and the sociologist Erik Olin Wright. The work of these later philosophers has furthered Cohen's work by bringing to bear modern social science methods, such as rational choice theory, to supplement Cohen's use of analytic philosophical techniques in the interpretation of Marxian theory.
Cohen himself would later engage directly with Rawlsian political philosophy to advance a socialist theory of justice that contrasts with both traditional Marxism and the theories advanced by Rawls and Nozick. In particular, he indicates Marx's principle of from each according to his ability, to each according to his need.
Although not an analytic philosopher, Jürgen Habermas is another influential—if controversial—author in contemporary analytic political philosophy, whose social theory is a blend of social science, Marxism, neo-Kantianism, and American pragmatism.
Communitarianism

Communitarians such as Alasdair MacIntyre, Charles Taylor (philosopher), Charles Taylor, Michael Walzer, and Michael Sandel advance a critique of liberalism that uses analytic techniques to isolate the main assumptions of liberal individualists, such as Rawls, and then challenges these assumptions. In particular, communitarians challenge the liberal assumption that the individual can be considered as fully autonomous from the community in which he is brought up and lives. Instead, they argue for a conception of the individual that emphasizes the role that the community plays in forming his or her values, thought processes, and opinions. While in the analytic tradition, its major exponents often also engage at length with figures generally considered continental, notably G. W. F. Hegel and Friedrich Nietzsche.
Aesthetics
As a result of logical positivism, as well as what seemed like rejections of the traditional aesthetic notions of beauty and sublimity from post-modern thinkers, analytic philosophers were slow to consider art and aesthetic judgment. Susanne Langer and Nelson Goodman addressed these problems in an analytic style during the 1950s and 1960s. Since Goodman, aesthetics as a discipline for analytic philosophers has flourished.
Arthur Danto argued for a "institutional definition of art" in the 1964 essay "The Artworld" in which Danto coined the term "artworld" (as opposed to the existing "art world", though they mean the same), by which he meant cultural context or "an atmosphere of art theory".
Rigorous efforts to pursue analyses of traditional aesthetic concepts were performed by Guy Sircello in the 1970s and 1980s, resulting in new analytic theories of love, sublimity, and beauty. In the opinion of Władysław Tatarkiewicz, there are six conditions for the presentation of art: beauty, form, representation, reproduction of reality, artistic expression, and innovation. However, one may not be able to pin down these qualities in a work of art.
George Dickie (philosopher), George Dickie was an influential philosopher of art. Dickie's student Noël Carroll is a leading philosopher of art.
Philosophy of language
Given the linguistic turn, it can be hard to separate logic, metaphysics, and the philosophy of language in analytic philosophy. Philosophy of language is a topic that has decreased in activity during the last four decades, as evidenced by the fact that few major philosophers today treat it as a primary research topic. While the debate remains fierce, it is still strongly influenced by those authors from the first half of the century, e.g. Frege, Russell, Wittgenstein, Austin, Tarski, and Quine.
Semantics
Saul Kripke
Saul Aaron Kripke (; November 13, 1940 – September 15, 2022) was an American analytic philosophy, analytic philosopher and logician. He was Distinguished Professor of Philosophy at the Graduate Center of the City University of New York and emer ...
provided a Kripke semantics, semantics for modal logic. In his book ''
Naming and Necessity'' (1980), Kripke challenges the descriptivist theory with a causal theory of reference. In it he introduced the term rigid designator. According to one author, "In the philosophy of language, ''Naming and Necessity'' is among the most important works ever."
Ruth Barcan Marcus also challenged descriptivism. So did Keith Donnellan.
Hilary Putnam used the Twin Earth thought experiment to argue for semantic externalism, or the view that the meanings of words are not psychological. Donald Davidson (philosopher), Donald Davidson uses the thought experiment of Swampman to advocate for semantic externalism.
Kripke in ''Wittgenstein on Rules and Private Language'' provides a rule-following paradox that undermines the possibility of our ever following rules in our use of language and, so, calls into question the idea of meaning. Kripke writes that this paradox is "the most radical and original skeptical problem that philosophy has seen to date". The portmanteau "Kripkenstein" has been coined as a term for a fictional person who holds the views expressed by Kripke's reading of Wittgenstein.
Another influential philosopher, Pavel Tichý initiated Transparent Intensional Logic, an original theory of the logical analysis of natural languages—the theory is devoted to the problem of saying exactly what it is that we learn, know, and can communicate when we come to understand what a sentence means.
Pragmatics
Paul Grice and his maxims and theory of implicature established the discipline of pragmatics.
Philosophy of mind and cognitive science

John Searle suggests that the obsession with the philosophy of language during the 20th century has been superseded by an emphasis on the philosophy of mind.
Physicalism
Motivated by the logical positivists' interest in verificationism, logical behaviorism was the most prominent philosophy of mind, theory of mind of analytic philosophy for the first half of the 20th century. Behaviorism later became much less popular, in favor of either Identity theory of mind, type physicalism or Functionalism (philosophy of mind), functionalism. During this period, topics of the philosophy of mind were often related strongly to topics of cognitive science, such as modularity of mind, modularity or Psychological nativism, innateness.
= Behaviorism
=
Behaviorists such as B. F. Skinner tended to opine either that statements about the mind were equivalent to ''statements about'' behavior and dispositions to behave in particular ways or that mental states were directly equivalent to behavior and dispositions to behave.

Hilary Putnam criticized behaviorism by arguing that it confuses the symptoms of mental states with the mental states themselves, positing "super Spartans" who never display signs of pain.
See also:
= Type identity
=
Type physicalism or type identity theory identified mental states with brain states. Former students of Ryle at the University of Adelaide J. J. C. Smart and Ullin Place argued for type physicalism.
= Functionalism
=
Functionalism remains the dominant theory. Type identity was criticized using multiple realizability.
Searle's Chinese room argument criticized functionalism and holds that while a computer can understand syntax, it could never understand semantics.
= Eliminativism
=
The view of eliminative materialism is most closely associated with Paul Churchland, Paul and Patricia Churchland, who deny the existence of propositional attitudes, and with Daniel Dennett, who is generally considered an eliminativist about qualia and phenomenal aspects of consciousness.
Dualism

Finally, analytic philosophy has featured a certain number of philosophers who were Dualism (philosophy of mind), dualists, and recently forms of property dualism have had a resurgence; the most prominent representative is David Chalmers. Kripke also makes a notable argument for dualism.
Thomas Nagel's paper "What Is It Like to Be a Bat??" challenged the physicalist account of mind. So did Frank Jackson (philosopher), Frank Jackson's knowledge argument, which argues for qualia.
Theories of consciousness
In recent years, a central focus of research in the philosophy of mind has been consciousness and the philosophy of perception. While there is a general consensus for the global neuronal workspace model of consciousness, there are many opinions as to the specifics. The best known theories are Searle's Naïve realism, naive realism, Fred Dretske and Michael Tye (philosopher), Michael Tye's direct and indirect realism, representationalism, Daniel Dennett's heterophenomenology, and the Higher-order theories of consciousness, higher-order theories of either David M. Rosenthal (philosopher), David M. Rosenthal—who advocates a higher-order thought (HOT) model—or David Malet Armstrong, David Armstrong and William Lycan—who advocate a higher-order perception (HOP) model. An alternative higher-order theory, the higher-order global states (HOGS) model, is offered by Robert van Gulick.
Philosophy of mathematics
Since the beginning, analytic philosophy has had an interest in the
philosophy of mathematics
Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathem ...
. Kurt Gödel, a student of Hans Hahn of the Vienna Circle, produced his Gödel's incompleteness theorems, incompleteness theorems showing that Russell and Whitehead's ''Principia Mathematica'' also failed to reduce arithmetic to logic. Gödel has been ranked as one of the four greatest logicians of all time, along with Aristotle, Frege, and Tarski.
Ernst Zermelo and Abraham Fraenkel established Zermelo–Fraenkel set theory, Zermelo Fraenkel Set Theory. Quine developed his own system, dubbed New Foundations.
Physicist Eugene Wigner's seminal paper "The Unreasonable Effectiveness of Mathematics in the Natural Sciences" poses the question of why a formal pursuit like mathematics can have real utility. José Benardete argued for the reality of infinity.
Akin to the medieval debate on universals, between realists, idealists, and nominalists; the philosophy of mathematics has the debate between logicists or platonists, conceptualists or Intuitionism, intuitionists, and Formalism (philosophy of mathematics), formalists.
Platonism
Gödel was a platonist who postulated a special kind of mathematical intuition that lets us perceive mathematical objects directly. Quine and Putnam argued for platonism with the Quine–Putnam indispensability argument, indispensability argument. Crispin Wright, along with Bob Hale (philosopher), Bob Hale, led a Neo-Fregean revival with his work ''Frege's Conception of Numbers as Objects''.
= Critics
=
Structuralism (philosophy of mathematics), Structuralist Paul Benacerraf has an epistemological objection to mathematical platonism.
Intuitionism
The intuitionists, led by L. E. J. Brouwer, are a Constructivism (philosophy of mathematics), constructivist school of mathematics that argues that mathematics is a Cognition, cognitive Construct (philosophy), construct rather than a type of objective truth.
Formalism
The formalists, best exemplified by David Hilbert, considered mathematics to be merely the investigation of Formal system, formal axiom systems. Hartry Field defended mathematical fictionalism.
Philosophy of religion
In ''Analytic Philosophy of Religion'', James Franklin Harris noted that:
As with the study of ethics, early analytic philosophy tended to avoid the study of Philosophy of religion, religion, largely dismissing (as per the logical positivists) the subject as a part of
metaphysics
Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
and therefore meaningless. The demise of logical positivism led to a renewed interest in the philosophy of religion, prompting philosophers not only to introduce new problems, but to re-study classical topics such as the existence of God, the nature of miracles, the problem of evil, the rationality of belief in God, concepts of the nature of God, and several others. The Society of Christian Philosophers was established in 1978.
Reformed epistemology
Analytic philosophy formed the basis for some sophisticated Christian arguments, such as those of the reformed epistemology, reformed epistemologists such as Alvin Plantinga, William Alston, and Nicholas Wolterstorff.

Plantinga was awarded the Templeton Prize in 2017 and was once described by ''Time (magazine), Time'' magazine as "America's leading orthodox Protestantism, Protestant philosopher of God". His seminal work ''God and Other Minds'' (1967) argues that belief in God is a properly basic belief akin to the belief in Problem of other minds, other minds. Plantinga also developed a modal Ontological argument#Alvin Plantinga, ontological argument in ''The Nature of Necessity'' (1974).
Plantinga, J. L. Mackie, and Antony Flew debated the use of the ''Alvin Plantinga's free-will defense, free will defense'' as a way to solve the problem of evil. Plantinga's evolutionary argument against naturalism contends that there is a problem in asserting both evolution and naturalism. Plantinga further issued a trilogy on epistemology, and especially justification, ''Warrant: The Current Debate'', ''Warrant and Proper Function'', and ''Warranted Christian Belief.''
Alston defended divine command theory and applied the analytic philosophy of language to religious language. Robert Merrihew Adams also defended divine command theory, and worked on the relationship between faith and morality. William Lane Craig defends the Kalam cosmological argument in the The Kalām Cosmological Argument, book of the same name.
Analytic Thomism
Catholic philosophers in the analytic tradition—such as Elizabeth Anscombe, Peter Geach, Anthony Kenny, Alasdair MacIntyre, John Haldane (philosopher), John Haldane, Eleonore Stump, and others—developed an Analytical Thomism, analytic approach to Thomism.
Orthodox
Richard Swinburne wrote a trilogy of books, arguing for God, consisting of ''The Coherence of Theism'', ''The Existence of God (book), The Existence of God'', and ''Faith and Reason''.
Wittgenstein and religion
The analytic philosophy of religion has been preoccupied with Wittgenstein, as well as his interpretation of Søren Kierkegaard's philosophy of religion. Wittgenstein fought for the Austrian army in the First World War and came upon a copy of Leo Tolstoy's ''Gospel in Brief''. At that time, he underwent some kind of religious conversion.
Using first-hand remarks (which were later published in ''Philosophical Investigations'', ''Culture and Value'', and other works), philosophers such as Peter Winch and Norman Malcolm developed what has come to be known as "contemplative philosophy", a Wittgensteinian school of thought rooted in the "Swansea University, Swansea school", and which includes Wittgensteinians such as Rush Rhees, Peter Winch, and D.Z. Phillips, among others.
The name "contemplative philosophy" was coined by D. Z. Phillips in ''Philosophy's Cool Place'', which rests on an interpretation of a passage from Wittgenstein's ''Culture and Value''. This interpretation was first labeled "Wittgensteinian Fideism" by Kai Nielsen (philosopher), Kai Nielsen, but those who consider themselves members of the Swansea school have relentlessly and repeatedly rejected this construal as a caricature of Wittgenstein's position; this is especially true of Phillips. Responding to this interpretation, Nielsen and Phillips became two of the most prominent interpreters of Wittgenstein's philosophy of religion.
Philosophy of science
Science and the
philosophy of science
Philosophy of science is the branch of philosophy concerned with the foundations, methods, and implications of science. Amongst its central questions are the difference between science and non-science, the reliability of scientific theories, ...
have also had increasingly significant roles in analytic metaphysics. The theory of special relativity has had a profound effect on the philosophy of time, and quantum physics is routinely discussed in the free will debate.
The weight given to scientific evidence is largely due to commitments of philosophers to scientific realism and Naturalism (philosophy), naturalism. Others will see a commitment to using science in philosophy as scientism.
Confirmation theory
Carl Hempel advocated confirmation theory or Bayesian epistemology. He introduced the famous Raven paradox, raven's paradox.
Falsification

In reaction to what he considered excesses of logical positivism,
Karl Popper
Sir Karl Raimund Popper (28 July 1902 – 17 September 1994) was an Austrian–British philosopher, academic and social commentator. One of the 20th century's most influential philosophers of science, Popper is known for his rejection of the ...
, in ''The Logic of Scientific Discovery'', insisted on the role of falsifiability, falsification in the philosophy of science, using it to solve the demarcation problem.
Confirmation holism
The Duhem–Quine thesis, or problem of underdetermination, posits that no Hypothesis, scientific hypothesis can be understood in isolation, a viewpoint called confirmation holism.
[
]
Constructivism
In reaction to both the logical positivists and Popper, discussions of the philosophy of science during the last 40 years were dominated by social constructivism, social constructivist and cognitive relativism, cognitive relativist theories of science. Following Quine and Duhem, subsequent theories emphasized theory-ladenness. Thomas Samuel Kuhn, with his formulation of paradigm shifts, and Paul Feyerabend, with his epistemological anarchism, are significant for these discussions.
Biology
The philosophy of biology has also undergone considerable growth, particularly due to the considerable debate in recent years over the nature of evolution, particularly natural selection. Daniel Dennett and his 1995 book ''Darwin's Dangerous Idea'', which defends Neo-Darwinism, stand at the forefront of this debate.[Lennox, James G., "Darwinism and Neo-Darwinism" in Sakar and Plutynski (eds.), ''A Companion to the Philosophy of Biology'' (Blackwell Publishing, 2008), p. 89.] Jerry Fodor criticizes natural selection.
Notes
References
Sources
* Aristotle, ''Metaphysics (Aristotle), Metaphysics''
*
*
* Geach, P., ''Mental Acts'', London 1957
*
* Kenny, A.J.P., ''Wittgenstein'', London 1973.
*
*
*
* Soames, Scott. ''Philosophical Analysis in the Twentieth Century: Volume 1, The Dawn of Analysis''. Princeton: Princeton University Press, 2003.
*
* Wittgenstein, ''Tractatus Logico-Philosophicus
The ''Tractatus Logico-Philosophicus'' (widely abbreviated and Citation, cited as TLP) is the only book-length philosophical work by the Austrian philosopher Ludwig Wittgenstein that was published during his lifetime. The project had a broad goal ...
''
Further reading
* Th
London Philosophy Study Guide
offers many suggestions on what to read, depending on the student's familiarity with the subject
* Hirschberger, Johannes. ''A Short History of Western Philosophy'', ed. Clare Hay
* Hylton, Peter. ''Russell, Idealism, and the Emergence of Analytic Philosophy''. Oxford: Oxford University Press, 1990.
* Passmore, John. ''A Hundred Years of Philosophy'', revised ed. New York: Basic Books, 1966.
* Weitz, Morris, ed. ''Twentieth Century Philosophy: The Analytic Tradition''. New York: Free Press, 1966.
External links
*
*
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