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科图分类法:
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O1-0/6 版次： |
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中图分类法:
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O1-0 版次： |
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著者:
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Hellman, Geoffrey. |
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题名:
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Mathematical structuralism / / , |
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出版发行:
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出版地： Cambridge, United Kingdom ; 出版社： Cambridge University Press, 出版日期： 2019. |
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载体形态:
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92 p. ; 23 cm. |
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内容提要:
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"The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems they encounter, Geoffrey Hellman and Steward Shapiro consider three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals; modal, eliminating structures as objects in favor of freely entertained logical possibilities; and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives"--Back cover. |
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主题词:
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Mathematics Philosophy. |
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主题词:
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Structuralism. |
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主要责任者:
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Shapiro, Stewart, Shapiro, Stewart, |
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索书号:
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O1-0/6 |