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Nicod
Jean George Pierre Nicod (1 June 1893, in France – 16 February 1924, in Geneva, Switzerland) was a French philosopher and logician, best known for his work on propositional logic and induction. Biography Nicod's main contribution to formal logic was to show that classical propositional calculus could be axiomatized with only one axiom - which is now known as Nicod's axiom - and one rule of inference, both formulated using the Sheffer stroke as only connective. In inductive logic and confirmation theory, he famously proposed Nicod's criterion, according to which a conditional hypothesis is confirmed by all and only its positive instances. This principle plays a central role in the derivation of Carl Hempel's raven paradox. Nicod died at the age of 30 from tuberculosis. Legacy The Institut Jean Nicod (Paris) — a branch of the French ''Centre National de la Recherche Scientifique'' (CNRS) -- is research laboratory at the interface between cognitive science and the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Raven Paradox
The raven paradox, also known as Hempel's paradox, Hempel's ravens, or rarely the paradox of indoor ornithology, is a paradox arising from the question of what constitutes evidence for the truth of a statement. Observing objects that are neither black nor ravens may formally increase the likelihood that all ravens are black even though, intuitively, these observations are unrelated. This problem was proposed by the logician Carl Gustav Hempel in the 1940s to illustrate a contradiction between inductive logic and intuition. Paradox Hempel describes the paradox in terms of the hypothesis: : (1) ''All ravens are black''. In the form of an implication, this can be expressed as: ''If something is a raven, then it is black.'' Via contraposition, this statement is equivalent to: : (2) ''If something is not black, then it is not a raven.'' In all circumstances where (2) is true, (1) is also true—and likewise, in all circumstances where (2) is false (i.e., if a world is imagined in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Nicod Prize
The Jean Nicod Prize is awarded annually in Paris to a leading philosopher of mind or philosophically oriented cognitive scientist. The lectures are organized by the Centre National de la Recherche Scientifique as part of its effort to promote interdisciplinary research in cognitive science in France. The 1993 lectures marked the centenary of the birth of the French philosopher and logician Jean Nicod (1893–1924). Besides the CNRS, sponsors include the École Normale Supérieure and the School for Advanced Studies in the Social Sciences. The ''Jean Nicod lecturer'' is expected to deliver at least four lectures on a topic of his or her choice, and subsequently to publish the set of lectures, or a monograph based on them in the ''Jean Nicod Lectures series'' (MIT Press/Bradford Books; F. Recanati editor). List List of Jean Nicod Prize laureates from 1993 to the present day: (SourceInstitut Jean Nicod See also * Institut Jean Nicod * List of awards named after people * List ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institut Jean Nicod
The Institut Jean Nicod (IJN) is an interdisciplinary research center based in Paris, France. Its current director is the philosopher (2017-), preceded by famous philosopher François Recanati (2010-2017) and Pierre Jacob (2002-2010). Created in 2002, its name commemorates the French philosopher, epistemologist and logician Jean Nicod (1893-1924). The IJN is jointly run by the Centre national de la recherche scientifique (CNRS), École normale supérieure (ENS) and École des Hautes Études en Sciences Sociales (EHESS), three French research and higher education institutions. Since 2007, the ENS hosts the IJN where it is affiliated with both the Département d'Etudes Cognitives (DEC), of which it is a founding member, and the Department of Philosophy. Research carried out by its 33 permanent members (state 2016) has an interdisciplinary profile. In the tradition of analytic philosophy, this research center develops researches at the interface between cognitive science (mainly, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicod's Axiom
In logic, Nicod's axiom (named after the French logician and philosopher Jean Nicod) is a formula that can be used as the sole axiom of a semantically complete system of propositional calculus. The only connective used in the formulation of Nicod's axiom is the Sheffer's stroke. The axiom has the following form: ((φ , (χ , ψ)) , ((τ , (τ , τ)) , ((θ , χ) , ((φ , θ) , (φ , θ))))) Nicod showed that the whole propositional logic of ''Principia Mathematica'' could be derived from this axiom alone by using one inference rule, called "Nicod's modus ponens": 1. φ 2. (φ , (χ , ψ)) ∴ ψ In 1931, the Polish logician Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ... Mordechaj Wajsberg discovered an equally powerful and easier-to-work-with alternative: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheffer Stroke
In Boolean functions and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the logical negation, negation of the logical conjunction, conjunction operation, expressed in ordinary language as "not both". It is also called nand ("not and") or the alternative denial, since it says in effect that at least one of its operands is false. In digital electronics, it corresponds to the NAND gate. It is named after Henry M. Sheffer and written as ↑ or as , (but not as , , , often used to represent Logical disjunction, disjunction). In Józef_Maria_Bocheński, Bocheński notation it can be written as D''pq''. Its duality (mathematics), dual is the logical NOR, NOR operator (also known as the Charles Sanders Peirce, Peirce arrow or Willard Van Orman Quine, Quine dagger). Like its dual, NAND can be used by itself, without any other logical operator, to constitute a logical formal system (making NAND functional completeness, functionally complete) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inductive Reasoning
Inductive reasoning is a method of reasoning in which a general principle is derived from a body of observations. It consists of making broad generalizations based on specific observations. Inductive reasoning is distinct from ''deductive'' reasoning. If the premises are correct, the conclusion of a deductive argument is ''certain''; in contrast, the truth of the conclusion of an inductive argument is '' probable'', based upon the evidence given. Types The types of inductive reasoning include generalization, prediction, statistical syllogism, argument from analogy, and causal inference. Inductive generalization A generalization (more accurately, an ''inductive generalization'') proceeds from a premise about a sample to a conclusion about the population. The observation obtained from this sample is projected onto the broader population. : The proportion Q of the sample has attribute A. : Therefore, the proportion Q of the population has attribute A. For example, say there ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Nicot
Jean Nicot de Villemain (; 1530 – May 4, 1604) was a French diplomat and scholar. He is famous for being the first to bring tobacco to France, including snuff tobacco. Nicotine is named after the tobacco plant ''Nicotiana tabacum,'' which in turn is named after Jean Nicot de Villemain, who sent tobacco and seeds to Paris in 1560, presented it to the French King, and who promoted their medicinal use. Smoking was believed to protect against illness, particularly the plague. Early life Jean Nicot was born in 1530 in Nîmes, in the south of France. His father was a notary. He was educated in Toulouse and Paris.Kara RogersJean Nicot: French diplomat and scholar Encyclopedia Britannia Career Nicot served as the French Ambassador (diplomacy), ambassador in Lisbon, Portugal from 1547 to 1559 under Henry II of France, Henry II, under king Francis II of France, Francis II from 1559 to 1560, and from 1560 to 1574 under Charles IX of France, Charles IX. As a 29-year-old in 1559, he was sent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inductive Reasoning
Inductive reasoning is a method of reasoning in which a general principle is derived from a body of observations. It consists of making broad generalizations based on specific observations. Inductive reasoning is distinct from ''deductive'' reasoning. If the premises are correct, the conclusion of a deductive argument is ''certain''; in contrast, the truth of the conclusion of an inductive argument is '' probable'', based upon the evidence given. Types The types of inductive reasoning include generalization, prediction, statistical syllogism, argument from analogy, and causal inference. Inductive generalization A generalization (more accurately, an ''inductive generalization'') proceeds from a premise about a sample to a conclusion about the population. The observation obtained from this sample is projected onto the broader population. : The proportion Q of the sample has attribute A. : Therefore, the proportion Q of the population has attribute A. For example, say there ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosopher Of Mind
Philosophy of mind is a branch of philosophy that studies the ontology and nature of the mind and its relationship with the body. The mind–body problem is a paradigmatic issue in philosophy of mind, although a number of other issues are addressed, such as the hard problem of consciousness and the nature of particular mental states.Siegel, S.: ''The Contents of Visual Experience''. New York: Oxford University Press. 2010.Macpherson, F. & Haddock, A., editors, ''Disjunctivism: Perception, Action, Knowledge'', Oxford: Oxford University Press, 2008. Aspects of the mind that are studied include mental events, mental functions, mental properties, consciousness and its neural correlates, the ontology of the mind, the nature of cognition and of thought, and the relationship of the mind to the body. Dualism and monism are the two central schools of thought on the mind–body problem, although nuanced views have arisen that do not fit one or the other category neatly. * Dualism find ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Encyclopædia Britannica
The (Latin for "British Encyclopædia") is a general knowledge English-language encyclopaedia. It is published by Encyclopædia Britannica, Inc.; the company has existed since the 18th century, although it has changed ownership various times through the centuries. The encyclopaedia is maintained by about 100 full-time editors and more than 4,000 contributors. The 2010 version of the 15th edition, which spans 32 volumes and 32,640 pages, was the last printed edition. Since 2016, it has been published exclusively as an online encyclopaedia. Printed for 244 years, the ''Britannica'' was the longest running in-print encyclopaedia in the English language. It was first published between 1768 and 1771 in the Scottish capital of Edinburgh, as three volumes. The encyclopaedia grew in size: the second edition was 10 volumes, and by its fourth edition (1801–1810) it had expanded to 20 volumes. Its rising stature as a scholarly work helped recruit eminent con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.Stanford Encyclopedia of Philosophy"Bertrand Russell" 1 May 2003. He was one of the early 20th century's most prominent logicians, and a founder of analytic philosophy, along with his predecessor Gottlob Frege, his friend and colleague G. E. Moore and his student and protégé Ludwig Wittgenstein. Russell with Moore led the British "revolt against idealism". Together with his former teacher A. N. Whitehead, Russell wrote ''Principia Mathematica'', a milestone in the development of classical logic, and a major attempt to reduce the whole ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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