Intensional Mathematics is popular PDF and ePub book, written by S. Shapiro in 1985-01-01, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Intensional Mathematics can be Read Online from any device for your convenience.
Intensional Mathematics Book PDF Summary
``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 INTRODUCTIONAmong 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.
Detail Book of Intensional Mathematics PDF
- Author : S. Shapiro
- Release : 01 January 1985
- Publisher : Elsevier
- ISBN : 9780080880044
- Genre : Science
- Total Page : 237 pages
- Language : English
- PDF File Size : 8,9 Mb
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