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Title: Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics, 7) by J. Lambek ISBN: 0-521-35653-9 Publisher: Cambridge University Press Pub. Date: 01 June, 1988 Format: Paperback Volumes: 1 List Price(USD): $36.95 |
Average Customer Rating: 5 (1 review)
Rating: 5
Summary: This is definitely Higher!
Comment: I was looking for a book for my girlfriend this Christmas and stumbled upon this one. At first I thought it would be too light but was I ever mistaken!! This book is so high that it would make Jack Kerouac dizzy. It begins with a treatment of basic category theory and ccc's and then goes on to present toposes and intuitionistic type theory. The authors take care to annotate their turnstile with the set of free variables (Hah! I bet you thought I had no idea what this book was about!) so that they can deal with empty types in a reasonable way. The treatment of presheaf models is very lucid and the discussion of internal languages and lambda-calculi is excellent. In fact many papers of Koymans are just exercises from this book worked out. The book is slightly out of date, no treatment of linear logic or symmetric monoidal-closed categories. Overall this book is highly recommended for the beginner and expert alike.
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Title: Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Universitext) by S. Mac Lane, I. Moerdijk ISBN: 0387977104 Publisher: Springer-Verlag Pub. Date: 01 April, 1992 List Price(USD): $69.95 |
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Title: Sets for Mathematics by F. W. Lawvere, Robert Rosebrugh, F. William Lawvere, W. Lawvere, R. Rosebrugh ISBN: 0521010608 Publisher: Cambridge University Press Pub. Date: December, 2002 List Price(USD): $38.00 |
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Title: Elementary Categories, Elementary Toposes (Oxford Logic Guides, 21) by Colin McLarty ISBN: 0198514735 Publisher: Oxford University Press Pub. Date: 01 May, 1995 List Price(USD): $80.00 |
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Title: Categories for Types (Cambridge Mathematical Textbooks) by Roy L. Crole ISBN: 0521457017 Publisher: Cambridge University Press Pub. Date: 01 February, 1994 List Price(USD): $31.95 |
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Title: Categories for the Working Mathematician (2nd Ed)(Graduate Texts in Mathematics, 5) by Saunders Mac Lane ISBN: 0387984038 Publisher: Springer-Verlag Pub. Date: 01 September, 1998 List Price(USD): $69.95 |
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