UID:
almahu_9949473995702882
Umfang:
1 online resource (184 p.)
ISBN:
9783110323689
,
9783110238570
Serie:
Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , 13
Inhalt:
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.
Anmerkung:
Frontmatter --
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Contents --
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Preface --
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Part I: Set Theory, Inconsistency, and Measuring Theories --
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Representationalism and Set-Theoretic Paradox --
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Who's Afraid of Inconsistent Mathematics? --
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Logical and Semantic Puritiy --
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On Using Measuring Numbers according to Measuring Theories --
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Part II The Challenge of Nominalism --
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The Compulsion to Believe: Logical Inference and Normativity --
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Nominalism and Mathematical Intuition --
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Jobless Objects: Mathematical Posits in Crisis --
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Is Indispensability Still a Problem for Fictionalism? --
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Part III: Historical Background --
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Mill, Frege and the Unity of Mathematics --
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Descartes on Mathematical Essences --
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Editors and Contributors
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Issued also in print.
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Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Philosophy 2000-2014 (EN), De Gruyter, 9783110238488
In:
DGBA Philosophy 2000 - 2014, De Gruyter, 9783110636949
In:
eBook Package De Gruyter Ontos 2002-2012, De Gruyter, 9783110331226
In:
eBook Paket De Gruyter Ontos 2002-2012, De Gruyter, 9783110331219
Weitere Ausg.:
ISBN 9783110323092
Sprache:
Englisch
DOI:
10.1515/9783110323689
URL:
https://doi.org/10.1515/9783110323689
URL:
https://www.degruyter.com/isbn/9783110323689
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