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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Shapiro, Stewart, 1951-
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
Descripción
Sumario:``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.
Notas:Cataloging based on CIP information.
Descripción Física:1 online resource
Bibliografía:Includes bibliographical references.
ISBN:9780444876324
0444876324
9781435686977
1435686977