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Intentional mathematics /
``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction ... both views are implic...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New YorK, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1985.
|
| Colección: | Studies in logic and the foundations of mathematics ;
v. 113. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1985 ne ob 000 0 eng d | ||
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| 245 | 0 | 0 | |a Intentional mathematics / |c edited by Stewart Shapiro. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New YorK, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1985. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Studies in logic and the foundations of mathematics ; |v v. 113 | |
| 520 | |a ``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction ... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects ... '' FROM THE INTRODUCTION Among the aims of this book are: - The discussion of some important philosophical issues using the precision of mathematics. - The development of formal systems that contain both classical and constructive components. This allows the study of constructivity in otherwise classical contexts and represents the formalization of important intensional aspects of mathematical practice. - The direct formalization of intensional concepts (such as computability) in a mixed constructive/classical context. | ||
| 500 | |a Cataloging based on CIP information. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Intensional Mathematics; Copyright Page; Table of Contents; Chapter 1. Introduction: Intensional Mathematics and Constructive Mathematics; Chapter 2. Epistemic and Intuitionistic Arithmetic; Chapter 3. Intensional Set Theory; Chapter 4. A Genuinely Intensional Set Theory; Chapter 5. Extending G�odel's Modal Interpretation to Type Theory and Set Theory; Chapter 6. Church's Thesis is Consistent with Epistemic Arithmetic; Chapter 7. Calculable Natural Numbers; Chapter 8. Modality and Self-Reference; Chapter 9. Some Principles Related to L�ob's Theorem | |
| 650 | 0 | |a Modality (Logic) | |
| 650 | 0 | |a Constructive mathematics. | |
| 650 | 0 | |a Intuitionistic mathematics. | |
| 650 | 6 | |a Modalit�e (Logique) |0 (CaQQLa)201-0015267 | |
| 650 | 6 | |a Math�ematiques constructives. |0 (CaQQLa)201-0024136 | |
| 650 | 6 | |a Math�ematiques intuitionnistes. |0 (CaQQLa)201-0025538 | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Constructive mathematics |2 fast |0 (OCoLC)fst00876172 | |
| 650 | 7 | |a Intuitionistic mathematics |2 fast |0 (OCoLC)fst00977860 | |
| 650 | 7 | |a Modality (Logic) |2 fast |0 (OCoLC)fst01024350 | |
| 650 | 1 | 7 | |a Constructieve wiskunde. |2 gtt |
| 650 | 1 | 7 | |a Intu�itionisme. |2 gtt |
| 650 | 1 | 7 | |a Modale logica. |2 gtt |
| 653 | |a Mathematics |a Numerical methods | ||
| 700 | 1 | |a Shapiro, Stewart, |d 1951- | |
| 776 | 0 | 8 | |i Print version: |t Intentional mathematics. |d Amsterdam ; New York : North-Holland ; New YorK, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985 |z 0444876324 |z 9780444876324 |w (DLC) 84018856 |w (OCoLC)11113852 |
| 830 | 0 | |a Studies in logic and the foundations of mathematics ; |v v. 113. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444876324 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=0049237X&volume=113 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/0049237X/113 |z Texto completo |