Items related to Philosophy of Mathematics Today: 22 (Episteme, 22)
R240005010. PHILOSOPHY OF MATHEMATICS TODAY. 1997. In-8. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 361 pages. Texte en anglais.. . . . Classification Dewey : 420-Langue anglaise. Anglo-saxon
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This text provides a presentation of general philosophical approaches, more technical foundational discussions, questions related to the application of mathematics, and historical analyses. It presents recent and innovative trends in the philosophy of mathematics, which have been developed subsequent to the decline of the traditional approaches (formalism, logicism, intuitionism) in their classical forms. Structuralism and constructivism also receive attention.
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- PublisherSpringer
- Publication date1996
- ISBN 10 0792343433
- ISBN 13 9780792343431
- BindingHardcover
- Number of pages390
- EditorAgazzi E., Darvas György
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Book Description Condition: New. 390 pp., Hardcover, new. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1241206
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Mathematics is often considered as a body of knowledge that is essen tially independent of linguistic formulations, in the sense that, once the content of this knowledge has been grasped, there remains only the problem of professional ability, that of clearly formulating and correctly proving it. However, the question is not so simple, and P. Weingartner's paper (Language and Coding-Dependency of Results in Logic and Mathe matics) deals with some results in logic and mathematics which reveal that certain notions are in general not invariant with respect to different choices of language and of coding processes. Five example are given: 1) The validity of axioms and rules of classical propositional logic depend on the interpretation of sentential variables; 2) The language dependency of verisimilitude; 3) The proof of the weak and strong anti inductivist theorems in Popper's theory of inductive support is not invariant with respect to limitative criteria put on classical logic; 4) The language-dependency of the concept of provability; 5) The language dependency of the existence of ungrounded and paradoxical sentences (in the sense of Kripke). The requirements of logical rigour and consistency are not the only criteria for the acceptance and appreciation of mathematical proposi tions and theories. Seller Inventory # 9780792343431
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Book Description Condition: New. New. In shrink wrap. Looks like an interesting title! 1.56. Seller Inventory # Q-0792343433
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Mathematics is often considered as a body of knowledge that is essen tially independent of linguistic formulations, in the sense that, once the content of this knowledge has been grasped, there remains only the problem of professional ability, that of clearly formulating and correctly proving it. However, the question is not so simple, and P. Weingartner's paper (Language and Coding-Dependency of Results in Logic and Mathe matics) deals with some results in logic and mathematics which reveal that certain notions are in general not invariant with respect to different choices of language and of coding processes. Five example are given: 1) The validity of axioms and rules of classical propositional logic depend on the interpretation of sentential variables; 2) The language dependency of verisimilitude; 3) The proof of the weak and strong anti inductivist theorems in Popper's theory of inductive support is not invariant with respect to limitative criteria put on classical logic; 4) The language-dependency of the concept of provability; 5) The language dependency of the existence of ungrounded and paradoxical sentences (in the sense of Kripke). The requirements of logical rigour and consistency are not the only criteria for the acceptance and appreciation of mathematical proposi tions and theories. 396 pp. Englisch. Seller Inventory # 9780792343431
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