After G÷del: Platonism and Rationalism in Mathematics and Logic

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9780199680610: After G÷del: Platonism and Rationalism in Mathematics and Logic

Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. As well as providing discussions of Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Gödel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism.

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Recensione:

a brilliantly clear explanation of Husserlian phenomenology together with an application of it to the main philosophical problems (traditionally) associated with the mathematical enterprise. ( Juliette Kennedy, Notre Dame Philosophical Reviews)

L'autore:

Richard Tieszen is the author of Phenomenology, Logic, and the Philosophy of Mathematics and Mathematical Intuition, along with numerous papers and reviews on the philosophy of mathematics, philosophy of logic, and phenomenology. He co-edited Between Logic and Intuition: Essays in Honor of Charles Parsons, and is Professor of Philosophy at San José State University in California.

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Richard L. Tieszen
Editore: Oxford University Press, United Kingdom (2013)
ISBN 10: 0199680612 ISBN 13: 9780199680610
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Descrizione libro Oxford University Press, United Kingdom, 2013. Paperback. Condizione libro: New. Reprint. 231 x 152 mm. Language: English . Brand New Book. Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Godel s writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Godel s three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Godel s texts on foundations with materials from Godel s Nachlass and from Hao Wang s discussions with Godel. As well as providing discussions of Godel s views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Godel s critique of Hilbert and Carnap, and of his subsequent turn to Husserl s transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called constituted platonism , is developed and defended. Tieszen sho. Codice libro della libreria AOP9780199680610

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Richard L. Tieszen
Editore: Oxford University Press, United Kingdom (2013)
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Descrizione libro Oxford University Press, United Kingdom, 2013. Paperback. Condizione libro: New. Reprint. 231 x 152 mm. Language: English . Brand New Book. Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Godel s writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Godel s three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Godel s texts on foundations with materials from Godel s Nachlass and from Hao Wang s discussions with Godel. As well as providing discussions of Godel s views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Godel s critique of Hilbert and Carnap, and of his subsequent turn to Husserl s transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called constituted platonism , is developed and defended. Tieszen sho. Codice libro della libreria AOP9780199680610

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97801996806100000000

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Descrizione libro Oxford University Press. Paperback. Condizione libro: new. BRAND NEW, After Godel: Platonism and Rationalism in Mathematics and Logic, Richard L. Tieszen, Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Godel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Godel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Godel's texts on foundations with materials from Godel's Nachlass and from Hao Wang's discussions with Godel. As well as providing discussions of Godel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Godel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism. Codice libro della libreria B9780199680610

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Descrizione libro OUP Oxford, 2013. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria FU-9780199680610

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Descrizione libro Oxford University Press(UK), 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780199680610_lsuk

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Descrizione libro 2013. Paperback. Condizione libro: New. 155mm x 18mm x 231mm. Paperback. Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gdel's writings on the philosophy and foundations of mathematics and logic. Tieszen stru.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 245 pages. 0.386. Codice libro della libreria 9780199680610

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Descrizione libro OUP Oxford, 2013. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780199680610

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Descrizione libro Oxford Univ Pr, 2013. Paperback. Condizione libro: Brand New. reprint edition. 245 pages. 9.25x6.25x0.75 inches. In Stock. Codice libro della libreria __0199680612

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Descrizione libro OUP Oxford, 2013. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780199680610

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