Sets, Logic and Categories (Springer Undergraduate Mathematics Series)

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9781852330569: Sets, Logic and Categories (Springer Undergraduate Mathematics Series)

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.

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Cameron, Peter J.
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Book Description Springer London Ltd, United Kingdom, 1999. Paperback. Book Condition: New. 1998 ed.. 229 x 168 mm. Language: English . Brand New Book. Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Godel s Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material. Bookseller Inventory # AAW9781852330569

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Cameron, Peter J.
Published by Springer London Ltd, United Kingdom (1999)
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Book Description Springer London Ltd, United Kingdom, 1999. Paperback. Book Condition: New. 1998 ed.. 229 x 168 mm. Language: English . Brand New Book. Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Godel s Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material. Bookseller Inventory # AAW9781852330569

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Book Description Springer, 1999. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Naive Set Theory.- Ordinal Numbers.- Logic.- First-order Logic.- Model theory.- Axiomatic set theory categories.- References. Bookseller Inventory # ABE_book_new_1852330562

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