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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Handbook of Philosophical Logic - Volume I: Elements of Classical Logic (Paperback, Softcover reprint of the original 1st ed. 1983)
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Handbook of Philosophical Logic - Volume I: Elements of Classical Logic (Paperback, Softcover reprint of the original 1st ed. 1983)
Series: Synthese Library, 164
Expected to ship within 10 - 15 working days
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The aim of the first volume of the present Handbook of
Philosophical Logic is essentially two-fold: First of all, the
chapters in this volume should provide a concise overview of the
main parts of classical logic. Second, these chapters are intended
to present all the relevant background material necessary for the
understanding of the contributions which are to follow in the next
three volumes. We have thought it to be of importance that the
connections between classical logic and its 'extensions' (covered
in Volume 11) as well as its most important 'alternatives' (covered
in Volume Ill) be brought out clearly from the start. The first
chapter presents a clear and detailed picture of the range of what
is generally taken to be the standard logical framework, namely,
predicate (or first-order quantificational) logic. On the one hand,
this chapter surveys both propositionai logic and first-order
predicate logic and, on the other hand, presents the main
metalogical results obtained for them. Chapter 1. 1 also contains a
discussion of the limits of first-order logic, i. e. it presents an
answer to the question: Why has predicate logic played such a
formidable role in the formalization of mathematics and in the many
areas of philo sophical and linguistic applications? Chapter 1. 1
is prerequisite for just about all the other chapters in the entire
Handbook, while the other chapters in Volume I provide more
detailed discussions of material developed or hinted at in the
first chapter.
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