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Hugh McColl (mathematician)
Hugh MacColl (before April 1885 spelled as Hugh McColl; 1831–1909) was a Scottish mathematician, logician and novelist. Life MacColl was the youngest son of a poor Highland family that was at least partly Gaelic-speaking. Hugh's father died when he was still an infant, and Hugh was educated largely thanks to the efforts of his elder brother Malcolm MacColl, an Episcopalian clergyman and friend and political ally of William Ewart Gladstone. Early in his acquaintanceship with Gladstone, Malcolm MacColl persuaded the Liberal politician to provide funds for Hugh's education at Oxford. It was proposed to send him to Oxford University's St. Edmund Hall, but Gladstone made this conditional on Hugh MacColl agreeing to take orders in the Church of England. Hugh MacColl refused this condition and, as a result, never obtained a university education, which may have limited his contribution to philosophy, and certainly prevented him from ever obtaining a formal academic position. After a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logician
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 of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. Informal logic examines arguments expressed in natural language whereas formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a specific logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to work." Premise ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 philosophy, concentrating on the philosophy of language, philosophy of logic, logic, and Philosophy of mathematics, mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since Aristotle, and one of the most profound philosophers of mathematics ever. His contributions include the History of logic#Rise of modern logic, development of modern logic in the ''Begriffsschrift'' and work in the foundations of mathematics. His book the ''Foundations of Arithmetic'' is the seminal text of the logicist project, and is ci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Free Logic
A free logic is a logic with fewer existential presuppositions than classical logic. Free logics may allow for terms that do not denote any object. Free logics may also allow models that have an empty domain. A free logic with the latter property is an inclusive logic. Explanation In classical logic there are theorems that clearly presuppose that there is something in the domain of discourse. Consider the following classically valid theorems. :1. \forall xA \Rightarrow \exists xA :2. \forall x \forall rA(x) \Rightarrow \forall rA(r) :3. \forall rA(r) \Rightarrow \exists xA(x) A valid scheme in the theory of equality which exhibits the same feature is :4. \forall x(Fx \rightarrow Gx) \land \exists xFx \rightarrow \exists x(Fx \land Gx) Informally, if F is '=y', G is 'is Pegasus', and we substitute 'Pegasus' for y, then (4) appears to allow us to infer from 'everything identical with Pegasus is Pegasus' that something is identical with Pegasus. The problem comes from s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Université Lille Nord De France
The Community of Universities and Institutions (COMUE) Lille Nord de France (formerly Université Lille Nord de France) was a French Groups of Universities and Institutions ( COMUE) spread over multiple campuses and centered in Lille (North - Hauts-de-France). It included a European Doctoral College and federated universities, engineering schools and research centers. With more than one hundred thousand students, it was one of the largest university federations in France. The University of Lille, with nearly 70,000 students, was its main component. The COMUE stopped its activity in 2019 and its activities were transferred to its founding institutions. History Founded as University of Douai in 1562, the university was renamed ''Université impériale de Douai-Lille'' in 1808, then as ''Université de Lille'' with faculty expansion in the Lille region from mid-19th century onwards. * The roots of the faculties in law and humanities date back from the 16th century; * The school ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Epistemology
Epistemology is the branch of philosophy that examines the nature, origin, and limits of knowledge. Also called "the theory of knowledge", it explores different types of knowledge, such as propositional knowledge about facts, practical knowledge in the form of skills, and knowledge by acquaintance as a familiarity through experience. Epistemologists study the concepts of belief, truth, and justification to understand the nature of knowledge. To discover how knowledge arises, they investigate sources of justification, such as perception, introspection, memory, reason, and testimony. The school of skepticism questions the human ability to attain knowledge while fallibilism says that knowledge is never certain. Empiricists hold that all knowledge comes from sense experience, whereas rationalists believe that some knowledge does not depend on it. Coherentists argue that a belief is justified if it coheres with other beliefs. Foundationalists, by contrast, maintain th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Oslo
The University of Oslo (; ) is a public university, public research university located in Oslo, Norway. It is the List of oldest universities in continuous operation#Europe, oldest university in Norway. Originally named the Royal Frederick University, the university was established in 1811 as the de facto Norwegian continuation of Denmark-Norway's common university, the University of Copenhagen, with which it shares many traditions. It was named for King Frederick VI of Denmark and Norway, and received its current name in 1939. The university was commonly nicknamed "The Royal Frederick's" (''Det Kgl. Frederiks'') before the name change, and informally also referred to simply as ''Universitetet'' (). The university was the only university in Norway until the University of Bergen was founded in 1946. It has approximately 27,700 students and employs around 6,000 people. Its faculties include (Lutheranism, Lutheran) theology (with the Lutheran Church of Norway having been Norway's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greifswald University
The University of Greifswald (; ), formerly known as Ernst-Moritz-Arndt University of Greifswald, is a public university, public research university located in Greifswald, Germany, in the state of Mecklenburg-Western Pomerania. Founded in 1456, it is one of the List of oldest universities in continuous operation, oldest universities in Europe, with generations of notable List of University of Greifswald people, alumni and staff having studied or worked in Greifswald. As the List of universities in Germany#Universities by date of establishment, fourth oldest university in present Germany, it was temporarily also the oldest university of the Kingdoms of Swedish Pomerania, Sweden (1648–1815) and Prussia (1815–1945), respectively. Approximately two-thirds of the 10,179 students are from outside the Mecklenburg-Vorpommern, state, including international students from 90 countries all over the world. History 1456–1600: Founding The University of Greifswald was founde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christianity
Christianity is an Abrahamic monotheistic religion, which states that Jesus in Christianity, Jesus is the Son of God (Christianity), Son of God and Resurrection of Jesus, rose from the dead after his Crucifixion of Jesus, crucifixion, whose coming as the Messiah#Christianity, messiah (Christ (title), Christ) was Old Testament messianic prophecies quoted in the New Testament, prophesied in the Old Testament and chronicled in the New Testament. It is the Major religious groups, world's largest and most widespread religion with over 2.3 billion followers, comprising around 28.8% of the world population. Its adherents, known as Christians, are estimated to make up a majority of the population in Christianity by country, 157 countries and territories. Christianity remains Christian culture, culturally diverse in its Western Christianity, Western and Eastern Christianity, Eastern branches, and doctrinally diverse concerning Justification (theology), justification and the natur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Benjamins Publishing Company
John Benjamins Publishing Company is an independent academic publisher in social sciences and humanities with its head office in Amsterdam, Netherlands. The company was founded in the 1960s by John and Claire Benjamins and is currently managed by their daughter Seline Benjamins. John Benjamins is especially noted for its publications in language, linguistics, translation studies, political linguistics and literary studies. It publishes books, as well as 80+ academic journals An academic journal (or scholarly journal or scientific journal) is a periodical publication in which scholarship relating to a particular academic discipline is published. They serve as permanent and transparent forums for the dissemination, scr ..., including among others: ''Diachronica'', '' International Journal of Corpus Linguistics'', '' Language Problems and Language Planning'', '' Studies in Language'', '' Lingvisticae Investigationes'', Target, '' Translation, Cognition & Behavior'', ''Jour ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Georg Henrik Von Wright
Georg Henrik von Wright (; 14 June 1916 – 16 June 2003) was a Finnish philosopher. Biography G. H. von Wright was born in Helsinki on 14 June 1916 to Tor von Wright and his wife Ragni Elisabeth Alfthan. On the retirement of Ludwig Wittgenstein as professor at the University of Cambridge in 1948, von Wright succeeded him. He published in English, Finnish, German, and Swedish, belonging to the Swedish-speaking minority of Finland. Von Wright was of both Finnish and 17th-century Scottish ancestry, and the family was raised to nobility in 1772. In later years von Wright began to take an interest in political questions, having opposed the heavy bombing ordered by Lyndon B. Johnson during the Vietnam War. He attended the Praxis School-organised Korčula Summer School. Work Von Wright's writings come under two broad categories. The first is analytic philosophy and philosophical logic in the Anglo-American vein. His 1951 texts ''An Essay in Modal Logic'' and "Deontic Logic" ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Feys
Robert Feys (19 December 1889 – 13 April 1961) was a Belgian logician and philosopher, who worked at the University of Leuven (Belgium).De Raeymaeker, Louis.In memoriam le chanoine Robert Feys" ''Revue Philosophique de Louvain'' 59.62 (1961): 371-374. Feys was born in Mechelen, and received his PhD in 1909 from the Institute of Philosophy, University of Leuven. In 1913 he was appointed Professor at the Université Saint-Louis, Brussels. But due to the War he enlisted in the Army. In 1919 he was appointed Professor at the Institute St. Gertrude in Nivelles. In 1929 he returned to the Université Saint-Louis, Brussels, and in 1944 he was appointed Professor at the University of Leuven. In 1958 Feys and Haskell B. Curry devised the type inference algorithm for the simply typed lambda calculus The simply typed lambda calculus (), a form of type theory, is a typed interpretation of the lambda calculus with only one type constructor () that builds function types. It is the can ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, causation. For instance, in epistemic modal logic, the well-formed_formula, formula \Box P can be used to represent the statement that P is known. In deontic modal logic, that same formula can represent that P is a moral obligation. Modal logic considers the inferences that modal statements give rise to. For instance, most epistemic modal logics treat the formula \Box P \rightarrow P as a Tautology_(logic), tautology, representing the principle that only true statements can count as knowledge. However, this formula is not a tautology in deontic modal logic, since what ought to be true can be false. Modal logics are formal systems that include unary operation, unary operators such as \Diamond and \Box, representing possibility and necessi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
