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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Topics in Modern Logic (Paperback)
Loot Price: R1,088
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Topics in Modern Logic (Paperback)
Series: Routledge Library Editions: Logic
Expected to ship within 12 - 19 working days
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Originally published in 1973. This book is directed to the student
of philosophy whose background in mathematics is very limited. The
author strikes a balance between material of a philosophical and a
formal kind, and does this in a way that will bring out the
intricate connections between the two. On the formal side, he gives
particular care to provide the basic tools from set theory and
arithmetic that are needed to study systems of logic, setting out
completeness results for two, three, and four valued logic,
explaining concepts such as freedom and bondage in quantificational
logic, describing the intuitionistic conception of the logical
operators, and setting out Zermelo's axiom system for set theory.
On the philosophical side, he gives particular attention to such
topics as the problem of entailment, the import of the
Loewenheim-Skolem theorem, the expressive powers of
quantificational logic, the ideas underlying intuitionistic logic,
the nature of set theory, and the relationship between logic and
set theory. There are exercises within the text, set out alongside
the theoretical ideas that they involve.
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