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Philosophy's Loss of Logic to Mathematics - An Inadequately Understood Take-Over (Paperback, Softcover reprint of the original 1st ed. 2018)
Loot Price: R1,752
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Philosophy's Loss of Logic to Mathematics - An Inadequately Understood Take-Over (Paperback, Softcover reprint of the original 1st ed. 2018)
Series: Studies in Applied Philosophy, Epistemology and Rational Ethics, 43
Expected to ship within 10 - 15 working days
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This book offers a historical explanation of important
philosophical problems in logic and mathematics, which have been
neglected by the official history of modern logic. It offers
extensive information on Gottlob Frege's logic, discussing which
aspects of his logic can be considered truly innovative in its
revolution against the Aristotelian logic. It presents the work of
Hilbert and his associates and followers with the aim of
understanding the revolutionary change in the axiomatic method.
Moreover, it offers useful tools to understand Tarski's and
Goedel's work, explaining why the problems they discussed are still
unsolved. Finally, the book reports on some of the most influential
positions in contemporary philosophy of mathematics, i.e., Maddy's
mathematical naturalism and Shapiro's mathematical structuralism.
Last but not least, the book introduces Biancani's Aristotelian
philosophy of mathematics as this is considered important to
understand current philosophical issue in the applications of
mathematics. One of the main purposes of the book is to stimulate
readers to reconsider the Aristotelian position, which disappeared
almost completely from the scene in logic and mathematics in the
early twentieth century.
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