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【哲学とモデル理論】

Philosophy and Model Theory '18

Button, Tim, Walsh, Sean  著

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価格 \12,301(税込)         

発行年月 2018年03月
出版社/提供元
出版国 イギリス
言語 英語
媒体 冊子
装丁 paper
ページ数/巻数 534 p.
ジャンル 洋書/人文科学/哲学・思想/認識論・存在論・自由意志論
ISBN 9780198790402
商品コード 1025641850
本の性格 学術書
新刊案内掲載月 2017年12月
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1025641850

内容

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of papers. The first aim of this book, then, is to explore the philosophical uses of model theory, focusing on the central topics of reference, realism, and doxology. Its second aim is to address important questions in the philosophy of model theory, such as: sameness of theories and structure, the boundaries of logic, and the classification of mathematical structures. Philosophy and Model Theory will be accessible to anyone who has completed an introductory logic course. It does not assume that readers have encountered model theory before, but starts right at the beginning, discussing philosophical issues that arise even with conceptually basic model theory. Moreover, the book is largely self-contained: model-theoretic notions are defined as and when they are needed for the philosophical discussion, and many of the most philosophically significant results are given accessible proofs.

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