UID:
edocfu_9958354151802883
Format:
1 online resource(184p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter, 2008. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110323689
Series Statement:
Logos; 13
Content:
One main interest of philosophy is to become clear about the assumptions, premisses and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is acheivable or necessary like the articles in the firt part of the publication show. Also the role of formal derivations, the role of the concept of apriority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the "indispensability argument" of W. v. O. Quine H. Putnam and the "makes no difference argument" of A. Baker. Not only in retrospect, the third part shows the problems of Mill, Frege's and the unity of mathematics and Descartes's contradictional conception of mathematical essences. Together, these articles give us a hint into the relationship between mathematics and world, that is, one of the central problems in philosophy of mathematics and philosophy of science.
Note:
Frontmatter --
,
Contents --
,
Preface --
,
Representationalism and Set-Theoretic Paradox /
,
Who’s Afraid of Inconsistent Mathematics? /
,
Logical and Semantic Puritiy /
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On Using Measuring Numbers according to Measuring Theories /
,
The Compulsion to Believe: Logical Inference and Normativity /
,
Nominalism and Mathematical Intuition /
,
Jobless Objects: Mathematical Posits in Crisis /
,
Is Indispensability Still a Problem for Fictionalism? /
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Mill, Frege and the Unity of Mathematics /
,
Descartes on Mathematical Essences /
,
Editors and Contributors.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110323092
Additional Edition:
ISBN 9783110323696
Language:
English
DOI:
10.1515/9783110323689
URL:
https://doi.org/10.1515/9783110323689
