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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Quantification Theory (Hardcover)
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Quantification Theory (Hardcover)
Series: Routledge Library Editions: Logic
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Originally published in 1964. This book is concerned with general
arguments, by which is meant broadly arguments that rely for their
force on the ideas expressed by all, every, any, some, none and
other kindred words or phrases. A main object of quantificational
logic is to provide methods for evaluating general arguments. To
evaluate a general argument by these methods we must first express
it in a standard form. Quantificational form is dealt with in
chapter one and in part of chapter three; in the remainder of the
book an account is given of methods by which arguments when
formulated quantificationally may be tested for validity or
invalidity. Some attention is also paid to the logic of identity
and of definite descriptions. Throughout the book an attempt has
been made to give a clear explanation of the concepts involved and
the symbols used; in particular a step-by-step and partly
mechanical method is developed for translating complicated
statements of ordinary discourse into the appropriate
quantificational formulae. Some elementary knowledge of
truth-functional logic is presupposed.
General
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