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Mathematics and Logic in History and in Contemporary Thought (Paperback, New Ed)
Loot Price: R1,519
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Mathematics and Logic in History and in Contemporary Thought (Paperback, New Ed)
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This book is not a conventional history of mathematics as such, a
museum of documents and scientific curiosities. Instead, it
identifies this vital science with the thought of those who
constructed it and in its relation to the changing cultural context
in which it evolved. Particular emphasis is placed on the
philosophic and logical systems, from Aristotle onward, that
provide the basis for the fusion of mathematics and logic in
contemporary thought. Ettore Carruccio covers the evolution of
mathematics from the most ancient times to our own day. In simple
and non-technical language, he observes the changes that have taken
place in the conception of rational theory, until we reach the
lively, delicate and often disconcerting problems of modern logical
analysis. The book contains an unusual wealth of detail (including
specimen demonstrations) on such subjects as the critique of
Euclid's fifth postulate, the rise of non-Euclidean geometry, the
introduction of theories of infinite sets, the construction of
abstract geometry, and-in a notably intelligible discussion-the
development of modern symbolic logic and meta-mathematics.
Scientific problems in general and mathematical problems in
particular show their full meaning only when they are considered in
the light of their own history. This book accordingly takes the
reader to the heart of mathematical questions, in a way that
teacher, student and layman alike will find absorbing and
illuminating. The history of mathematics is a field that continues
to fascinate people interested in the course of creativity, and
logical inference u quite part and in addition to those with direct
mathematical interests.
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