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Index Of Logic Articles
A A System of Logic -- A priori and a posteriori -- Abacus logic -- Abduction (logic) -- Abductive validation -- Academia Analitica -- Accuracy and precision -- Ad captandum -- Ad hoc hypothesis -- Ad hominem -- Affine logic -- Affirming the antecedent -- Affirming the consequent -- Algebraic logic -- Ambiguity -- Analysis -- Analysis (journal) -- Analytic reasoning -- Analytic–synthetic distinction -- Anangeon -- Anecdotal evidence -- Antecedent (logic) -- Antepredicament -- Anti-psychologism -- Antinomy -- Apophasis -- Appeal to probability -- Appeal to ridicule -- Archive for Mathematical Logic -- Arché -- Argument -- Argument by example -- Argument form -- Argument from authority -- Argument map -- Argumentation theory -- Argumentum ad baculum -- Argumentum e contrario -- Ariadne's thread (logic) -- Aristotelian logic -- Aristotle -- Association for Informal Logic and Critical Thinking -- Association for Logic, Language and Information -- Associati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
A System Of Logic
''A System of Logic, Ratiocinative and Inductive'' is an 1843 book by English philosopher John Stuart Mill. Overview In this work, he formulated the five principles of inductive reasoning that are known as Mill's Methods. This work is important in the philosophy of science, and more generally, insofar as it outlines the empirical principles Mill would use to justify his moral and political philosophies. An article in "Philosophy of Recent Times" has described this book as an "attempt to expound a psychological system of logic within empiricist principles.” This work was important to the history of science, being a strong influence on scientists such as Dirac. ''A System of Logic'' also had an impression on Gottlob Frege, who rebuked many of Mill's ideas about the philosophy of mathematics in his work ''The Foundations of Arithmetic''. Mill revised the original work several times over the course of thirty years in response to critiques and commentary by Whewell, Bain, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Reasoning
Analytical reasoning, also known as analytical thinking, refers to the ability to look at information, be it qualitative or quantitative in nature, and discern patterns within the information. Analytical reasoning involves deductive reasoning with no specialised knowledge, such as: comprehending the basic structure of a set of relationships; recognizing logically equivalent statements; and inferring what could be true or must be true from given facts and rules. Analytical reasoning is axiomatic in that its truth is self-evident. In contrast, synthetic reasoning requires that we include empirical observations, which are always open to doubt. The specific terms “analytic” and “synthetic” themselves were introduced by Kant (1781) at the beginning of his '' Critique of Pure Reason''. Kant's usage In a philosophy of Immanuel Kant, analytic reasoning represents judgments made upon statements that are based on the virtue of the statement's own content. No particular experience, b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argument
An argument is a statement or group of statements called premises intended to determine the degree of truth or acceptability of another statement called conclusion. Arguments can be studied from three main perspectives: the logical, the dialectical and the rhetorical perspective. In logic, an argument is usually expressed not in natural language but in a symbolic formal language, and it can be defined as any group of propositions of which one is claimed to follow from the others through deductively valid inferences that preserve truth from the premises to the conclusion. This logical perspective on argument is relevant for scientific fields such as mathematics and computer science. Logic is the study of the forms of reasoning in arguments and the development of standards and criteria to evaluate arguments. Deductive arguments can be valid, and the valid ones can be sound: in a valid argument, premisses necessitate the conclusion, even if one or more of the premises is false ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arché
In philosophy and science, a first principle is a basic proposition or assumption that cannot be deduced from any other proposition or assumption. First principles in philosophy are from First Cause attitudes and taught by Aristotelians, and nuanced versions of first principles are referred to as postulates by Kantians. In mathematics, first principles are referred to as axioms or postulates. In physics and other sciences, theoretical work is said to be from first principles, or ''ab initio'', if it starts directly at the level of established science and does not make assumptions such as empirical model and parameter fitting. "First principles thinking" consists of deriving things to their fundamental proven axioms in the given arena, before reasoning up by asking which ones are relevant to the question at hand, then cross referencing conclusions based on chosen axioms and making sure conclusions do not violate any fundamental laws. Physicists include counterintuitive concepts w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archive For Mathematical Logic
'' Archive for Mathematical Logic'' is a peer-reviewed mathematics journal published by Springer Science+Business Media. It was established in 1950 and publishes articles on mathematical logic. Abstracting and indexing The journal is abstracted and indexed in: Springer. 2022 * * * * According t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Appeal To Ridicule
Appeal to ridicule (also called appeal to mockery, ''ad absurdo'', or the horse laugh) is an informal fallacy which presents an opponent's argument as absurd, ridiculous, or humorous, and therefore not worthy of serious consideration. Appeal to ridicule is often found in the form of comparing a nuanced circumstance or argument to a laughably commonplace occurrence or to some other irrelevancy on the basis of comedic timing, wordplay, or making an opponent and their argument the object of a joke. This is a rhetorical tactic that mocks an opponent's argument or standpoint, attempting to inspire an emotional reaction (making it a type of appeal to emotion) in the audience and to highlight any counter-intuitive aspects of that argument, making it appear foolish and contrary to common sense. This is typically done by making a mockery of the argument's foundation that represents it in an uncharitable and oversimplified way. The person using the tactic often utilizes sarcasm in their a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Appeal To Probability
An appeal to probability (or appeal to possibility, also known as ''possibiliter ergo probabiliter'', "possibly, therefore probably") is the logical fallacy of taking something for granted because it would probably be the case (or might possibly be the case). Inductive arguments lack deductive validity and must therefore be asserted or denied in the premises. A mere possibility does not correlate with a probability, and a mere probability does not correlate to a certainty, nor is just any probability that something happened or will happen sufficient to qualify as knowing that it did or will happen. Example A fallacious appeal to possibility: :Something can go wrong . :Therefore, something will go wrong . : :If I do not bring my umbrella :It will rain. . Murphy's law is a (typically deliberate, tongue-in-cheek The idiom tongue-in-cheek refers to a humorous or sarcastic statement expressed in a serious manner. History The phrase originally expressed contempt, but by 1842 ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apophasis
Apophasis (; , ) is a rhetorical device wherein the speaker or writer brings up a subject by either denying it, or denying that it should be brought up. Accordingly, it can be seen as a rhetorical relative of irony. The device is also called paralipsis (παράλειψις) – also spelled paraleipsis or paralepsis – or occupatio, and known also as praeteritio, preterition, or parasiopesis (παρασιώπησις). Usage As a rhetorical device, apophasis can serve several purposes. For example, It can be employed to raise an ''ad hominem'' or otherwise controversial attack while disclaiming responsibility for it, as in, "I refuse to discuss the rumor that my opponent is a drunk." This can make it a favored tactic in politics. Apophasis can be used passive-aggressively, as in, "I forgive you for your jealousy, so I won't even mention what a betrayal it was." In Cicero's " Pro Caelio" speech, he says to a prosecutor, "" ("I now forget your wrongs, Clodia, I set aside the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antinomy
Antinomy ( Greek ἀντί, ''antí'', "against, in opposition to", and νόμος, ''nómos'', "law") refers to a real or apparent mutual incompatibility of two laws. It is a term used in logic and epistemology, particularly in the philosophy of Immanuel Kant. There are many examples of antinomy. A self-contradictory phrase such as "There is no absolute truth" can be considered an antinomy because this statement is suggesting in itself to be an absolute truth, and therefore denies itself any truth in its statement. A paradox such as " this sentence is false" can also be considered to be an antinomy; for the sentence to be true, it must be false, and vice versa. Kant's use The term acquired a special significance in the philosophy of Immanuel Kant (1724–1804), who used it to describe the equally rational but contradictory results of applying to the universe of pure thought the categories or criteria of reason that are proper to the universe of sensible perception or experi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anti-psychologism
In logic, anti-psychologism (also logical objectivism or logical realism) is a theory about the nature of logical truth, that it does not depend upon the contents of human ideas but exists independent of human ideas. Overview The anti-psychologistic treatment of logic originated in the works of Immanuel Kant and Bernard Bolzano. The concept of logical objectivism or anti-psychologism was further developed by Johannes Rehmke (founder of Greifswald objectivism) and Gottlob Frege (founder of logicism the most famous anti-psychologist in the philosophy of mathematics), and has been the centre of an important debate in early phenomenology and analytical philosophy. Frege's work was influenced by Bolzano. Elements of anti-psychologism in the historiography of philosophy can be found in the work of the members of the 1830s speculative theist movement and the late work of Hermann Lotze. The psychologism dispute (german: Psychologismusstreit) in 19th-century German-speaking philosophy i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antepredicament
The ''Categories'' (Greek Κατηγορίαι ''Katēgoriai''; Latin ''Categoriae'' or ''Praedicamenta'') is a text from Aristotle's ''Organon'' that enumerates all the possible kinds of things that can be the subject or the predicate of a proposition. They are "perhaps the single most heavily discussed of all Aristotelian notions". The work is brief enough to be divided, not into books as is usual with Aristotle's works, but into fifteen chapters. The ''Categories'' places every object of human apprehension under one of ten categories (known to medieval writers as the Latin term ''praedicamenta''). Aristotle intended them to enumerate everything that can be expressed without composition or structure, thus anything that can be either the subject or the predicate of a proposition. The text The antepraedicamenta The text begins with an explication of what Aristotle means by "synonymous", or univocal words, what is meant by "homonymous", or equivocal words, and what is me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antecedent (logic)
An antecedent is the first half of a hypothetical proposition, whenever the if-clause precedes the then-clause. In some contexts the antecedent is called the ''protasis''. Examples: * If P, then Q. This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In an implication, if \phi implies \psi then \phi is called the antecedent and \psi is called the consequent.Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith Devlin, Chapman & Hall/CRC Mathematics, 3rd ed., 2004 Antecedent and consequent are connected via logical connective to form a proposition. * If X is a man, then X is mortal. "X is a man" is the antecedent for this proposition. * If men have walked on the moon, then I am the king of France. Here, "men have walked on the moon" is the antecedent. Let y=x+1. If x=1 then y=2 See also * Consequent * Affirming the consequent (fallacy) * Denying the antecedent (fallacy) * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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