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An Algebraic Introduction to Mathematical Logic (Paperback, Softcover reprint of the original 1st ed. 1975)
Loot Price: R2,143
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An Algebraic Introduction to Mathematical Logic (Paperback, Softcover reprint of the original 1st ed. 1975)
Series: Graduate Texts in Mathematics, 22
Expected to ship within 10 - 15 working days
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Total price: R2,163
Discovery Miles: 21 630
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This book is intended for mathematicians. Its origins lie in a
course of lectures given by an algebraist to a class which had just
completed a sub stantial course on abstract algebra. Consequently,
our treatment ofthe sub ject is algebraic. Although we assurne a
reasonable level of sophistication in algebra, the text requires
little more than the basic notions of group, ring, module, etc. A
more detailed knowledge of algebra is required for some of . the
exercises. We also assurne a familiarity with the main ideas of set
theory, including cardinal numbers and Zorn's Lemma. In this book,
we carry out a mathematical study of the logic used in mathematics.
We do this by constructing a mathematical model oflogic and
applying mathematics to analyse the properties of the model. We
therefore regard all our existing knowledge of mathematics as being
applicable to the analysis of the model, and in particular we
accept set theory as part of the meta-Ianguage. We are not
attempting to construct a foundation on which all mathematics is to
be based-rather, any conclusions to be drawn about the foundations
of mathematics co me only by analogy with the model, and are to be
regarded in much the same way as the conclusions drawn from any
scientific theory."
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