Philosophy of Mathematics : : Set Theory, Measuring Theories, and Nominalism /

Philosophy of Mathematics : : Set Theory, Measuring Theories, and Nominalism / / ed. by Gerhard Preyer, Georg Peter.

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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 sh...

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Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
MitwirkendeR:
Arana, Andrew,
Azzouni, Jody,
Bueno, Otávio,
Colyvan, Mark,
De Rosa, Raffaella,
Essler, Wilhelm K.,
Muntersbjorn, Madeline,
Patterson, Douglas,
Raley, Yvonne,
Vineberg, Susan,
HerausgeberIn:
Peter, Georg,
Preyer, Gerhard,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2008
Year of Publication:2013
Language:English
Series:Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , 13
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Physical Description:1 online resource (184 p.)
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ctrlnum (DE-B1597)211121
(OCoLC)851972124
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spelling Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism / ed. by Gerhard Preyer, Georg Peter.
Berlin ; Boston : De Gruyter, [2013]
©2008
1 online resource (184 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , 2198-2201 ; 13
Frontmatter -- Contents -- Preface -- Part I: Set Theory, Inconsistency, and Measuring Theories -- Representationalism and Set-Theoretic Paradox -- Who’s Afraid of Inconsistent Mathematics? -- Logical and Semantic Puritiy -- On Using Measuring Numbers according to Measuring Theories -- Part II The Challenge of Nominalism -- 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? -- Part III: Historical Background -- Mill, Frege and the Unity of Mathematics -- Descartes on Mathematical Essences -- Editors and Contributors
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Mathematics Philosophy Electronic books.
Mathematics Philosophy.
Philosophie der Mathematik.
Philosophie.
mathematische Logik.
PHILOSOPHY / History & Surveys / General. bisacsh
Arana, Andrew, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Azzouni, Jody, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Bueno, Otávio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Colyvan, Mark, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
De Rosa, Raffaella, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Essler, Wilhelm K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Muntersbjorn, Madeline, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Patterson, Douglas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Peter, Georg, editor. edt http://id.loc.gov/vocabulary/relators/edt
Preyer, Gerhard, editor. edt http://id.loc.gov/vocabulary/relators/edt
Raley, Yvonne, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Vineberg, Susan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Philosophy 2000-2014 (EN) 9783110238488
Title is part of eBook package: De Gruyter DGBA Philosophy 2000 - 2014 9783110636949 ZDB-23-GPH
Title is part of eBook package: De Gruyter eBook Package De Gruyter Ontos 2002-2012 9783110331226
Title is part of eBook package: De Gruyter eBook Paket De Gruyter Ontos 2002-2012 9783110331219 ZDB-23-DON
print 9783110323092
https://doi.org/10.1515/9783110323689
https://www.degruyter.com/isbn/9783110323689
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Essler, Wilhelm K.,
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Muntersbjorn, Madeline,
Muntersbjorn, Madeline,
Patterson, Douglas,
Patterson, Douglas,
Peter, Georg,
Peter, Georg,
Preyer, Gerhard,
Preyer, Gerhard,
Raley, Yvonne,
Raley, Yvonne,
Vineberg, Susan,
Vineberg, Susan,
author_facet Arana, Andrew,
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De Rosa, Raffaella,
De Rosa, Raffaella,
Essler, Wilhelm K.,
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Muntersbjorn, Madeline,
Muntersbjorn, Madeline,
Patterson, Douglas,
Patterson, Douglas,
Peter, Georg,
Peter, Georg,
Preyer, Gerhard,
Preyer, Gerhard,
Raley, Yvonne,
Raley, Yvonne,
Vineberg, Susan,
Vineberg, Susan,
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title Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism /
spellingShingle Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism /
Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
Frontmatter --
Contents --
Preface --
Part I: Set Theory, Inconsistency, and Measuring Theories --
Representationalism and Set-Theoretic Paradox --
Who’s Afraid of Inconsistent Mathematics? --
Logical and Semantic Puritiy --
On Using Measuring Numbers according to Measuring Theories --
Part II The Challenge of Nominalism --
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? --
Part III: Historical Background --
Mill, Frege and the Unity of Mathematics --
Descartes on Mathematical Essences --
Editors and Contributors
title_sub Set Theory, Measuring Theories, and Nominalism /
title_full Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism / ed. by Gerhard Preyer, Georg Peter.
title_fullStr Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism / ed. by Gerhard Preyer, Georg Peter.
title_full_unstemmed Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism / ed. by Gerhard Preyer, Georg Peter.
title_auth Philosophy of Mathematics : Set Theory, Measuring Theories, and Nominalism /
title_alt Frontmatter --
Contents --
Preface --
Part I: Set Theory, Inconsistency, and Measuring Theories --
Representationalism and Set-Theoretic Paradox --
Who’s Afraid of Inconsistent Mathematics? --
Logical and Semantic Puritiy --
On Using Measuring Numbers according to Measuring Theories --
Part II The Challenge of Nominalism --
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? --
Part III: Historical Background --
Mill, Frege and the Unity of Mathematics --
Descartes on Mathematical Essences --
Editors and Contributors
title_new Philosophy of Mathematics :
title_sort philosophy of mathematics : set theory, measuring theories, and nominalism /
series Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
series2 Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
publisher De Gruyter,
publishDate 2013
physical 1 online resource (184 p.)
Issued also in print.
contents Frontmatter --
Contents --
Preface --
Part I: Set Theory, Inconsistency, and Measuring Theories --
Representationalism and Set-Theoretic Paradox --
Who’s Afraid of Inconsistent Mathematics? --
Logical and Semantic Puritiy --
On Using Measuring Numbers according to Measuring Theories --
Part II The Challenge of Nominalism --
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? --
Part III: Historical Background --
Mill, Frege and the Unity of Mathematics --
Descartes on Mathematical Essences --
Editors and Contributors
isbn 9783110323689
9783110238570
9783110238488
9783110636949
9783110331226
9783110331219
9783110323092
issn 2198-2201 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA9
callnumber-sort QA 19
url https://doi.org/10.1515/9783110323689
https://www.degruyter.com/isbn/9783110323689
https://www.degruyter.com/document/cover/isbn/9783110323689/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 510 - Mathematics
dewey-full 510
dewey-sort 3510
dewey-raw 510
dewey-search 510
doi_str_mv 10.1515/9783110323689
oclc_num 851972124
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Title is part of eBook package: De Gruyter DGBA Backlist Philosophy 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Philosophy 2000 - 2014
Title is part of eBook package: De Gruyter eBook Package De Gruyter Ontos 2002-2012
Title is part of eBook package: De Gruyter eBook Paket De Gruyter Ontos 2002-2012
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