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|a (OCoLC)on1367358524
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|a FIE
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|a 9781009313797
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|a 1009313797
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|a 9781009313780
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|a 184
|2 23
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| 049 |
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|a TXAM
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|a Landry, Elaine M.
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| 245 |
1 |
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|a Plato Was Not a Mathematical Platonist
|c Elaine Landry.
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| 264 |
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1 |
|a Cambridge :
|b Cambridge University Press,
|c 2023.
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| 300 |
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|a 1 online resource
|b PDF file(s).
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Elements in the Philosophy of Mathematics
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|a Open Access e-Books
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|a Includes bibliographical references.
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|a 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.--
|c Provided by publisher.
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|a 1. Introduction; 2. The interprative lay of the land; 3. The divided line; 4. Book 7; 5. The good in mathematics; 6. Mathematics versus metaphysics; References.
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|a Plato
|x Criticism and interpretation.
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|a Mathematics
|x Philosophy.
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| 650 |
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|a Mathématiques
|x Philosophie.
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| 650 |
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7 |
|a Mathematics
|x Philosophy
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| 655 |
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|a Electronic books.
|2 local
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| 655 |
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|a Criticism, interpretation, etc.
|2 fast
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| 710 |
2 |
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|a Cambridge University Press.
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| 830 |
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|a Cambridge elements.
|p Elements in the philosophy of mathematics.
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| 856 |
4 |
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|u https://doi.org/10.1017/9781009313797
|z Connect to the full text of this electronic book
|t 0
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| 955 |
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|a Cambridge Open Access ebooks
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| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|d Available Online
|t 0
|e QA8.4 .L36 2023eb
|h Library of Congress classification
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| 998 |
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|a QA8.4 .L36 2023eb
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|l Available Online
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