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Introduction To Mathematical Logic (Hardcover)
Loot Price: R1,897
Discovery Miles 18 970
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Introduction To Mathematical Logic (Hardcover)
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Total price: R1,917
Discovery Miles: 19 170
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This is a systematic and well-paced introduction to mathematical
logic. Excellent as a course text, the book presupposes only
elementary background and can be used also for self-study by more
ambitious students.Starting with the basics of set theory,
induction and computability, it covers propositional and
first-order logic - their syntax, reasoning systems and semantics.
Soundness and completeness results for Hilbert's and Gentzen's
systems are presented, along with simple decidability arguments.
The general applicability of various concepts and techniques is
demonstrated by highlighting their consistent reuse in different
contexts.Unlike in most comparable texts, presentation of syntactic
reasoning systems precedes the semantic explanations. The
simplicity of syntactic constructions and rules - of a high, though
often neglected, pedagogical value - aids students in approaching
more complex semantic issues. This order of presentation also
brings forth the relative independence of syntax from the
semantics, helping to appreciate the importance of the purely
symbolic systems, like those underlying computers.An overview of
the history of logic precedes the main text, while informal
analogies precede introduction of most central concepts. These
informal aspects are kept clearly apart from the technical ones.
Together, they form a unique text which may be appreciated equally
by lecturers and students occupied with mathematical precision, as
well as those interested in the relations of logical formalisms to
the problems of computability and the philosophy of logic.
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