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Strict finitism

Synthese 51 (2):203 - 282 (1982)

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  1. Wang's paradox.Michael Dummett - 1975 - Synthese 30 (3-4):201--32.
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  • On the coherence of vague predicates.Crispin Wright - 1975 - Synthese 30 (3-4):325--65.
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  • (2 other versions)Wittgenstein's philosophy of mathematics.Michael Dummett - 1959 - Philosophical Review 68 (3):324-348.
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  • Demonstrative thought and psychological explanation.Christopher Peacocke - 1981 - Synthese 49 (2):187-217.
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  • Sur le platonisme dans les mathématiques.Paul Bernays - 1935 - L’Enseignement Mathematique 34:52--69.
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  • Are vague predicates incoherent?Christopher Peacocke - 1981 - Synthese 46 (1):121-141.
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  • (1 other version)Eighty years of foundational studies.Hao Wang - 1958 - Dialectica 12 (3‐4):466-497.
    A survey is made of work since 1879 on foundational problems viewed as an analysis, by reduction and formalization, of the concepts proof, feasible, number, set, and constructivity. It is suggested that there are five domains of concepts and methods, viz., anthropologism, finitism, intuitionism, predicativism, and platonism. It is also suggested that the central problem is to characterize these domains by formalization and to determine their interrelations by different forms of reduction. Finally, the range of logic in the narrower sense (...)
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  • Is a Finite Number?D. Van Dantzig - 1955 - Dialectica 9 (3):273.
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  • Wittgenstein's remarks on the foundations of mathematics. [REVIEW]G. Kreisel - 1958 - British Journal for the Philosophy of Science 9 (34):135-158.
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