| 翻訳と辞書 |
| Mathematics, Form and Function ： ウィキペディア英語版 |
Mathematics, Form and Function
''Mathematics, Form and Function'' is a survey of the whole of mathematics, including its origins and deep structure, by the American mathematician Saunders Mac Lane.
== Mac Lane's relevance to the philosophy of mathematics ==
Mac Lane cofounded category theory with Samuel Eilenberg, which enables a unified treatment of mathematical structures and of the relations among them, at the cost of breaking away from their cognitive grounding. Nevertheless, his views—however informal—are a valuable contribution to the philosophy and anthropology of mathematics.〔On the anthropological grounding of mathematics, see White (1947) and Hersh (1997).〕 His views anticipate, in some respects, the more detailed account of the cognitive basis of mathematics given by George Lakoff and Rafael E. Núñez in their ''Where Mathematics Comes From''. Lakoff and Núñez argue that mathematics emerges via conceptual metaphors grounded in the human body, its motion through space and time, and in human sense perceptions.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「Mathematics, Form and Function」の詳細全文を読む
スポンサード リンク
| 翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|