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...
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| Format: | eBook |
| Language: | English |
| Published: |
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.
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| Series: | Studies in logic and the foundations of mathematics ;
v. 113. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | ``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. |
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| Item Description: | Cataloging based on CIP information. |
| Physical Description: | 1 online resource |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9780444876324 0444876324 9781435686977 1435686977 |