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Advanced Logic for Applications (Paperback, Softcover reprint of the original 1st ed. 1979)
Loot Price: R1,592
Discovery Miles 15 920
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Advanced Logic for Applications (Paperback, Softcover reprint of the original 1st ed. 1979)
Series: Synthese Library, 110
Expected to ship within 10 - 15 working days
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Total price: R1,612
Discovery Miles: 16 120
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This book is intended to be a survey of the most important results
in mathematical logic for philosophers. It is a survey of results
which have philosophical significance and it is intended to be
accessible to philosophers. I have assumed the mathematical
sophistication acquired. in an introductory logic course or in
reading a basic logic text. In addition to proving the most
philosophically significant results in mathematical logic, I have
attempted to illustrate various methods of proof. For example, the
completeness of quantification theory is proved both constructively
and non-constructively and relative ad vantages of each type of
proof are discussed. Similarly, constructive and non-constructive
versions of Godel's first incompleteness theorem are given. I hope
that the reader. will develop facility with the methods of proof
and also be caused by reflect on their differences. I assume
familiarity with quantification theory both in under standing the
notations and in finding object language proofs. Strictly speaking
the presentation is self-contained, but it would be very difficult
for someone without background in the subject to follow the
material from the beginning. This is necessary if the notes are to
be accessible to readers who have had diverse backgrounds at a more
elementary level. However, to make them accessible to readers with
no background would require writing yet another introductory logic
text. Numerous exercises have been included and many of these are
integral parts of the proofs."
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