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Anotace knihy

Preface Introduction SOME OLDER VIEWS Plato's account Some views of Aristotle Leibniz's philosophy of mathematics Kant: some of his views MATHEMATICS AS LOGIC: EXPOSITION The programme The logic of truth-functions On the logic of classes On the logic of quantification On the logicist systems MATHEMATICS AS LOGIC: CRITICISM The logicist account of logic The logicist conflation of empirical and non-empirical concepts The logicist theory of mathematical infinity The logicist account of geometry MATHEMATICS AS THE SCIENCE OF FORMAL SYSTEMS: EXPOSITION The programme Finite methods and infinite totalities Formal systems and formalizations Some results of metamathematics MATHEMATICS AS THE SCIENCE OF FORMAL SYSTEMS: CRITICISM The formalist account of pure mathematics The formalist account of applied mathematics The concept of actual infinity The formalist conception of logic MATHEMATICS AS THE ACTIVITY OF INTUITIVE CONSTRUCTIONS: EXPOSITION The programme Intuitionist mathematics Intuitionist logic MATHEMATICS AS THE ACTIVITY OF INTUITIVE CONSTRUCTIONS: CRITICISM Mathematical theorems as reports on intuitive constructions Intuitionism and the logical status of applied mathematics The intuitionist conception of mathematical infinity Interrelations between formalism and intuitionism THE NATURE OF PURE AND APPLIED MATHEMATICS Exact and inexact concepts Pure mathematics disconnected from perception Mathematical existence-propositions The nature of applied mathematics Mathematics and philosophy Appendix A. On the classical theory of real numbers Appendix B. Some suggestions for further reading Index

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics History of mathematics

• Plný název: Philosophy of Mathematics
• Podnázev: An Introductory Essay
• Autor: Stephan Korner
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 204
• EAN: 9780486471853
• ISBN: 0486471853
• ID: 02568525
• Nakladatelství: Dover Publications Inc.
• Hmotnost: 216 g
• Rozměry: 138 × 210 × 20 mm
• Datum vydání: 19. February 2009

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