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A classic book on the logical foundations of mathematics, published in 1919 and revised in 1920. It covers topics such as number, order, relation, infinity, continuity, classes, propositions, descriptions, and logic.
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Historians of mathematics usually take the nineteenth century to be the birth of the ‘modern’ style of mathematical thought that is practiced today. Since much of the philosophy of mathematics in the twentieth century was focused on coming to terms with. 9 For example, Principles of Human Knowledge, §121-122.
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- Jeremy Avigad
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25. Sept. 2007 · 1. Philosophy of Mathematics, Logic, and the Foundations of Mathematics. 2. Four schools. 2.1 Logicism. 2.2 Intuitionism. 2.3 Formalism. 2.4 Predicativism. 3. Platonism. 3.1 Gödel’s Platonism. 3.2 Naturalism and Indispensability. 3.3 Deflating Platonism. 3.4 Benacerraf’s Epistemological Problem. 3.5 Plenitudinous Platonism. 4.
A book by Mark Colyvan that explores contemporary debates in the philosophy of mathematics, such as realism, explanation, limits, notation, and applications. The book is suitable for undergraduate courses and anyone interested in philosophy and mathematics.
We begin with a brief presentation of the views of four major classical philosophers: Plato, Aristotle, Leibniz, and Kant. We conclude with a more detailed discussion of the three “schools” of mathematical philosophy which have emerged in the twentieth century: Logicism, Formalism, and Intuitionism. Classical Views on the Nature of Mathematics.
The Oxford Handbook of Philosophy of Mathematics and Logic Stewart Shapiro (Editor), Professor of Philosophy, Ohio State University Abstract : This book provides comprehensive and accessible coverage of the disciplines
22. Juli 2022 · A book that explores the philosophical questions and issues in mathematics, such as Platonism, picture-proofs, notation, computation, and the continuum hypothesis. The book is available for free download and streaming from the Internet Archive, but requires access permission.
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