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Synopsis
Richard Tieszen analyzes, develops, and defends the writings of Kurt Godel (1906-1978) on the philosophy and foundations of mathematics and logic.
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About the Author
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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After G?del: Platonism and Rationalism in Mathematics and Logic (eng)
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After Godel: Platonism and Rationalism in Mathematics and Logic
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After Godel
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After Godel
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After Gödel
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Paperback. Condition: New. Illustrated. 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. Seller Inventory # LU-9780199680610
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After Godel : Platonism and Rationalism in Mathematics and Logic
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After Gdel (Paperback)
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ISBN 13: 9780199680610
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Paperback. Condition: new. Paperback. Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Goedel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Goedel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Goedel's texts on foundations with materials from Goedel's Nachlass and from Hao Wang'sdiscussions with Goedel. As well as providing discussions of Goedel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independenceproofs, Tieszen furnishes a detailed analysis of Goedel'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 theimplications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism. Richard Tieszen analyzes, develops, and defends the writings of Kurt Goedel (1906-1978) on the philosophy and foundations of mathematics and logic. Goedel's relation to the work of Plato, Leibniz, Husserl, and Kant is examined, and a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is proposed. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780199680610
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After Gdel (Paperback)
Published by
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ISBN 10: 0199680612
ISBN 13: 9780199680610
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Paperback. Condition: new. Paperback. Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Goedel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Goedel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Goedel's texts on foundations with materials from Goedel's Nachlass and from Hao Wang'sdiscussions with Goedel. As well as providing discussions of Goedel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independenceproofs, Tieszen furnishes a detailed analysis of Goedel'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 theimplications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism. Richard Tieszen analyzes, develops, and defends the writings of Kurt Goedel (1906-1978) on the philosophy and foundations of mathematics and logic. Goedel's relation to the work of Plato, Leibniz, Husserl, and Kant is examined, and a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is proposed. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780199680610
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After Godel : Platonism and Rationalism in Mathematics and Logic
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