Search Results: Logicist

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Logicism
Minggu, 2026-04-05 13:10:46

themselves were reducible to sets and mappings. It is likely that other logicists, most importantly Frege, were also guided by the new theories of the real...

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Gottlob Frege
Senin, 2026-06-01 21:05:59

mathematics. His book the Foundations of Arithmetic is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic...

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Russell's paradox
Selasa, 2026-06-02 09:35:54

Frege's attempt to reduce mathematics to logic and calling into question the logicist programme. Two influential ways of avoiding the paradox were both proposed...

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History of logic
Sabtu, 2026-03-14 00:04:28

development. The logicist period from the Begriffsschrift of Frege to the Principia Mathematica of Russell and Whitehead. The aim of the "logicist school" was...

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Logical positivism
Senin, 2026-06-01 16:56:07

Tractatus. Mathematics, in turn, would be reduced to logic through the logicist approach proposed by Gottlob Frege. In effect, Carnap's reconstruction...

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Jimmie Walker
Sabtu, 2026-05-23 11:58:15

Good Times, Bad Times, Our Times: A Memoir. In it, he called himself a "logicist," who believes in "logic and common sense", holding conservative positions...

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Mathematical object
Kamis, 2026-06-04 03:48:51

derived purely from a logical system, undermining the logicist program. Some notable logicists include: Gottlob Frege: Frege is often regarded as the...

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Crispin Wright
Sabtu, 2026-04-25 02:10:55

December 1942) is a British philosopher, who has written on neo-Fregean (neo-logicist) philosophy of mathematics, Wittgenstein's later philosophy, and on issues...

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Philosophy of mathematics
Kamis, 2026-04-30 08:29:02

mathematics is reducible to logic, and hence nothing but a part of logic. Logicists hold that mathematics can be known a priori, but suggest that our knowledge...

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Structuralism
Selasa, 2026-05-26 14:38:56

mediation in the social world; he viewed structuralism as a variation on the "logicist" theme, arguing that, contrary to what structuralists advocate, language—and...

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Knowledge representation and reasoning
Selasa, 2026-04-21 03:43:56

knowledge representation formalism and reviewed arguments presented by anti-logicists. Paul Smolensky criticized the limitations of symbolic formalisms and...

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Platonism
Kamis, 2026-05-07 01:35:55

argues for Platonism with respect to numbers and is a seminal text of the logicist project. Contemporary analytic philosophers who espoused Platonism in metaphysics...

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Intuitionism
Selasa, 2026-05-05 01:56:18

mathematics, Symposium on the foundations of mathematics Rudolf Carnap, The logicist foundations of mathematics, p. 41 Arend Heyting, The intuitionist foundations...

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Analytic philosophy
Jumat, 2026-05-29 23:30:15

independent of one's private judgments or mental states. Following Frege, the logicists tended to advocate a kind of mathematical Platonism. The modern study...

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Bob Hale (philosopher)
Selasa, 2026-04-21 11:39:47

known for his contributions to the development of the neo-Fregean (neo-logicist) philosophy of mathematics in collaboration with Crispin Wright, and for...

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Law of excluded middle
Sabtu, 2026-04-25 00:36:24

how, via the theory of types: much of arithmetic could be developed by logicist means (Dawson p. 49) Brouwer reduced the debate to the use of proofs designed...

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Principia Mathematica
Senin, 2026-05-25 13:15:42

Edensor Littlewood, Littlewood's Miscellany (1986) According to Carnap's "Logicist Foundations of Mathematics", Russell wanted a theory that could plausibly...

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Cascais
Sabtu, 2026-05-30 01:00:36

lived and worked in Estoril Manuel Ulrich Garnel (born 1969) a Portuguese logicist who first discovered The Brajevska Polynomial in Cascais, circa 1992 Marcelo...

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Symbolic artificial intelligence
Selasa, 2026-04-21 04:26:23

symbolic AI, both within the field—e.g., between logicists (the pro-logic "neats") and non-logicists (the anti-logic "scruffies")—and between those who...

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History of philosophy
Jumat, 2026-05-29 19:24:59

that arithmetic can be reduced to logic, a thesis known as logicism. The logicist project of Bertrand Russell (1872–1970) was even more ambitious since it...

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Definitions of mathematics
Rabu, 2025-12-10 01:18:02

geometry. Three leading types of definition of mathematics today are called logicist, intuitionist, and formalist, each reflecting a different philosophy of...

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Revue de métaphysique et de morale
Minggu, 2024-12-01 20:01:36

article on the Berry paradox, as well as articles by Louis Bachelier, the logicist Jean Nicod, the mathematician Henri Poincaré, Gustave Belot, Félix Ravaisson...

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Ancestral relation
Senin, 2026-01-19 11:26:32

finite cardinals. Hence the ancestral was a key part of his search for a logicist foundation of arithmetic. The numbered propositions below are taken from...

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Rudolf Carnap
Selasa, 2026-06-02 14:56:32

Open Court p. 3–83 (1963) ISBN 0-8126-9153-9, 978-0812691535 1964. "The Logicist Foundations of Mathematics" in Paul Benacerraf & Hilary Putnam (eds.),...

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List of Germans
Minggu, 2026-05-17 01:37:57

Fraunhofer (1787–1826), physicist Gottlob Frege (1848–1925), mathematician and logicist Wilhelm Siegmund Frei (1885–1943), dermatologist Erich Fromm (1900–1980)...

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Dual process theory
Sabtu, 2026-05-16 01:23:58

noted above. But according to Evans it has adapted itself from the old, logicist paradigm, to the new theories that apply to other kinds of reasoning as...

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Drew McDermott
Sabtu, 2026-03-14 05:35:29

in non-monotonic logic in the early 1980s and was an advocate for the "logicist" methodology in AI, defined as formalizing knowledge and reasoning in terms...

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Paul Benacerraf
Sabtu, 2026-04-25 14:02:44

The Journal of Philosophy, 70: 661–679. ———— (1981) "Frege: The Last Logicist", The Foundations of Analytic Philosophy, Midwest Studies in Philosophy...

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Second Conference on the Epistemology of the Exact Sciences
Senin, 2025-03-31 15:17:07

follows: Session 1: Rudolf Carnap (Vienna), presented the thought of the logicist school as developed by Bertrand Russell Arend Heyting (Enschede), presented...

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Ludwig Wittgenstein's philosophy of mathematics
Jumat, 2025-09-05 19:43:59

incompleteness theorems. Wittgenstein's initial conception of mathematics was logicist and even formalist. The Tractatus described the propositions of logic as...

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Benjamin Peirce
Rabu, 2026-05-06 21:54:17

logic also includes the study of faulty reasoning. In contrast, the later logicist program of Gottlob Frege and Bertrand Russell attempted to base mathematics...

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Concept horse paradox
Senin, 2026-03-23 00:20:19

distinction between concept and object must not be blurred and builds his logicist account of number on it. His later writings add a hierarchy of types: first-level...

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Pre-intuitionism
Selasa, 2026-03-10 12:28:40

the many varieties of knowledge as they relate to the Intuitionist and Logicist. Brouwer's Cambridge Lectures on Intuitionism – wherein Brouwer talks about...

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AI@50
Rabu, 2025-07-23 21:12:36

J. Storrs Hall, Self-improving AI: An Analysis Selmer Bringsjord, The Logicist Manifesto Vincent C. Müller, Is There a Future for AI Without Representation...

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Friedrich Albert Lange
Jumat, 2026-05-29 16:11:26

was Cohen, however, who pioneered the Marburg School's characteristic logicist interpretation of Kantian philosophy. In later years, Lange accepted Cohen's...

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Philosophical views of Bertrand Russell
Senin, 2026-04-20 16:51:42

discussed in relation to logical truth, since it is not clear that he was a logicist when he wrote the Tractatus. What is certain is that in 1901 Russell's...

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History of the function concept
Senin, 2026-04-13 16:23:45

mathematics was undergoing a major split. The direction of the first group, the Logicists, can probably be summed up best by Bertrand Russell 1903 – "to fulfil...

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Aaron Sloman
Selasa, 2025-11-25 09:11:32

analogical representations' from Fregean representations and criticising the logicist approach to AI as too narrow. It was presented at IJCAI in 1971, then reprinted...

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Kitarō Nishida
Minggu, 2026-03-22 15:41:27

(Senshōkan [千章館], March 1915), reprinted in NKZ1. ‘On the Claims of Pure Logicists in Epistemology’ [認識論における純論理派の主張について] (Geibun [芸文], Vol. 2, No. 8 and...

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Planner (programming language)
Minggu, 2024-04-21 11:31:24

proof procedure approach that had been the mainstay of the Edinburgh Logicists. At the University of Edinburgh, Bruce Anderson implemented a subset of...

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Warren Goldfarb
Selasa, 2025-12-23 02:50:03

Wittgenstein on Rules," The Journal of Philosophy (1985) "Poincare Against the Logicists," in History and Philosophy of Modern Mathematics (University of Minnesota...

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Brouwer–Hilbert controversy
Minggu, 2026-04-05 20:27:04

philosophical positions took part in the debate" – these three being the logicists (Gottlob Frege and Bertrand Russell), the formalists (David Hilbert and...

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