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Author Landry, Elaine M., author.

Title Plato Was Not a Mathematical Platonist / Elaine Landry.

Publication Info. Cambridge : Cambridge University Press, 2023.

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 University of Saint Joseph: Pope Pius XII Library - Internet  WORLD WIDE WEB E-BOOK CAMBRIDGE    Downloadable
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Description 1 online resource : PDF file(s).
data file rda
Series Elements in the Philosophy of Mathematics
Open Access e-Books
Cambridge elements. Elements in the philosophy of mathematics.
Bibliography Includes bibliographical references.
Summary This Element shows that Plato keeps a clear distinction between mathematical and metaphysical realism and the knife he uses to slice the difference is method. The philosopher's dialectical method requires that we tether the truth of hypotheses to existing metaphysical objects. The mathematician's hypothetical method, by contrast, takes hypotheses as if they were first principles, so no metaphysical account of their truth is needed. Thus, we come to Plato's methodological as-if realism: in mathematics, we treat our hypotheses as if they were first principles, and, consequently, our objects as if they existed, and we do this for the purpose of solving problems. Taking the road suggested by Plato's Republic, this Element shows that methodological commitments to mathematical objects are made in light of mathematical practice; foundational considerations; and, mathematical applicability. This title is also available as Open Access on Cambridge Core.-- Provided by publisher.
Access Open Access Unrestricted online access star
Local Note Cambridge University Press Cambridge Open Access Books and Elements
Subject Plato -- Criticism and interpretation.
Mathematics -- Philosophy.
ISBN 9781009313797
1009313797
9781009313780
1009313789
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