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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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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.
Contenuti:
- Preface
- 1: Setting the Stage
- 2: Consistency, and the Ascent to Platonic Rationalism
- 3: Gödel's Path From Hilbert and Carnap to Husserl
- 4: A New Kind of Platonism
- 5: Consciousness, Reason, and Intentionality
- 6: Constituted Platonism, Reason, and Mathematical Knowledge
- 7: Minds and Machines
- 8: Reason, Science, and Evidence
- Bibliography
- Index
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- EditoreOUP Oxford
- Data di pubblicazione2011
- ISBN 10 019960620X
- ISBN 13 9780199606207
- RilegaturaCopertina rigida
- Numero di pagine258
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After Godel Platonism and Rationalism in Mathematics and Logic
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Descrizione libro Hardcover. Condizione: new. Hardcover. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780199606207
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Descrizione libro Hardcover. Condizione: new. Hardcover. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780199606207
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Descrizione libro Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 ra. Codice articolo 594429683
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