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Plato was not a mathematical Platonist /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Plato was not a mathematical Platonist // Elaine Landry.
作者:	Landry, Elaine M.,
面頁冊數:	1 online resource (48 pages) :digital, PDF file(s). :
附註:	Also issued in print: 2023.
標題:	Mathematics - Philosophy. -
電子資源:	https://doi.org/10.1017/9781009313797
ISBN:	9781009313797

Plato was not a mathematical Platonist /
Landry, Elaine M.,

Plato was not a mathematical Platonist /Elaine Landry. - 1 online resource (48 pages) :digital, PDF file(s). - Cambridge elements. Elements in the philosophy of mathematics. - Cambridge elements.Elements in the philosophy of mathematics..

Also issued in print: 2023.

Includes bibliographical references.

Open Access.

This text 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 book shows that methodological commitments to mathematical objects are made in light of mathematical practice; foundational considerations; and, mathematical applicability.

Specialized.

ISBN: 9781009313797No price

Standard No.: 10.1017/9781009313797doiSubjects--Personal Names:

576192
Plato.
Subjects--Topical Terms:

575254
Mathematics
--Philosophy.

LC Class. No.: B395 / .L3 2023

Dewey Class. No.: 184

Plato was not a mathematical Platonist /
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520 8 $a This text 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 book shows that methodological commitments to mathematical objects are made in light of mathematical practice; foundational considerations; and, mathematical applicability.
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