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Titlebook: Meaning and Existence in Mathematics; Charles Castonguay Book 1972 Springer-Verlag/Wien 1972 mathematics

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书目名称Meaning and Existence in Mathematics
编辑Charles Castonguay
视频video
丛书名称LEP Library of Exact Philosophy
图书封面Titlebook: Meaning and Existence in Mathematics;  Charles Castonguay Book 1972 Springer-Verlag/Wien 1972 mathematics
描述The take-over of the philosophy of mathematics by mathematical logic is not complete. The central problems examined in this book lie in the fringe area between the two, and by their very nature will no doubt continue to fall partly within the philosophical re­ mainder. In seeking to treat these problems with a properly sober mixture of rhyme and reason, I have tried to keep philosophical jargon to a minimum and to avoid excessive mathematical compli­ cation. The reader with a philosophical background should be familiar with the formal syntactico-semantical explications of proof and truth, especially if he wishes to linger on Chapter 1, after which it is easier philosophical sailing; while the mathematician need only know that to "explicate" a concept consists in clarifying a heretofore vague notion by proposing a clearer (sometimes formal) definition or formulation for it. More seriously, the interested mathematician will find occasional recourse to EDWARD‘S Encyclopedia of Philos­ ophy (cf. bibliography) highly rewarding. Sections 2. 5 and 2. 7 are of interest mainly to philosophers. The bibliography only contains works referred to in the text. References are made by giving the au
出版日期Book 1972
关键词mathematics
版次1
doihttps://doi.org/10.1007/978-3-7091-7113-4
isbn_softcover978-3-7091-7115-8
isbn_ebook978-3-7091-7113-4Series ISSN 0075-9104
issn_series 0075-9104
copyrightSpringer-Verlag/Wien 1972
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Reduction,ily circumscribed notion of inter-theoretic explanation, construed as a relation between theories following which the content of the “reducing” theory serves to elucidate the reasons why the content of the “reduced” theory is not in fact realized.
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0075-9104 fringe area between the two, and by their very nature will no doubt continue to fall partly within the philosophical re­ mainder. In seeking to treat these problems with a properly sober mixture of rhyme and reason, I have tried to keep philosophical jargon to a minimum and to avoid excessive mathem
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