Formalism and Beyond : : On the Nature of Mathematical Discourse /

Formalism and Beyond : : On the Nature of Mathematical Discourse / / ed. by Godehard Link.

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The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using moder...

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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,
Blanchette, Patricia A.,
Crosilla, Laura,
Detlefsen, Michael,
Link, Godehard,
Mühlhölzer, Felix,
Niebergall, Karl-Georg,
Polański, Marek,
Roth, Daniel,
Schirn, Matthias,
Schneider, Gregor,
Schuster, Peter,
Ziche, Paul,
HerausgeberIn:
Link, Godehard,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2014
Year of Publication:2014
Language:English
Series:Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , 23
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Physical Description:1 online resource (420 p.)
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ctrlnum (DE-B1597)428837
(OCoLC)896867316
collection bib_alma
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spelling Formalism and Beyond : On the Nature of Mathematical Discourse / ed. by Godehard Link.
Berlin ; Boston : De Gruyter, [2014]
©2014
1 online resource (420 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , 2198-2201 ; 23
Frontmatter -- Contents -- Preface -- Duality, Epistemic Efficiency & Consistency -- Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others -- Frege on Formality and the 1906 Independence-Test -- Formal Discourse in Russell: From Metaphysics to Philosophical Logic -- On Live and Dead Signs in Mathematics -- Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 -- Assumptions of Infinity -- The Interpretation of Classes in Axiomatic Set Theory -- Purity in Arithmetic: some Formal and Informal Issues -- Domain Extensions and Higher-Order Syntactical Interpretations -- Finite Methods in Mathematical Practice -- List of Contributors -- Name Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject.
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)
Logic, Symbolic and mathematical.
Mathematics Philosophy.
History of mathematics.
Mathematics.
Philosophy of mathematics.
PHILOSOPHY / Logic. bisacsh
history of mathematics.
mathematics.
Arana, Andrew, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Blanchette, Patricia A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Crosilla, Laura, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Detlefsen, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Link, Godehard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Link, Godehard, editor. edt http://id.loc.gov/vocabulary/relators/edt
Mühlhölzer, Felix, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Niebergall, Karl-Georg, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Polański, Marek, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Roth, Daniel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Schirn, Matthias, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Schneider, Gregor, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Schuster, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Ziche, Paul, 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 Complete Package 2014 9783110369526 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Philosophy 2014 9783110370393 ZDB-23-DPH
EPUB 9781614519966
print 9781614518297
https://doi.org/10.1515/9781614518471
https://www.degruyter.com/isbn/9781614518471
Cover https://www.degruyter.com/document/cover/isbn/9781614518471/original
language English
format eBook
author2 Arana, Andrew,
Arana, Andrew,
Blanchette, Patricia A.,
Blanchette, Patricia A.,
Crosilla, Laura,
Crosilla, Laura,
Detlefsen, Michael,
Detlefsen, Michael,
Link, Godehard,
Link, Godehard,
Link, Godehard,
Link, Godehard,
Mühlhölzer, Felix,
Mühlhölzer, Felix,
Niebergall, Karl-Georg,
Niebergall, Karl-Georg,
Polański, Marek,
Polański, Marek,
Roth, Daniel,
Roth, Daniel,
Schirn, Matthias,
Schirn, Matthias,
Schneider, Gregor,
Schneider, Gregor,
Schuster, Peter,
Schuster, Peter,
Ziche, Paul,
Ziche, Paul,
author_facet Arana, Andrew,
Arana, Andrew,
Blanchette, Patricia A.,
Blanchette, Patricia A.,
Crosilla, Laura,
Crosilla, Laura,
Detlefsen, Michael,
Detlefsen, Michael,
Link, Godehard,
Link, Godehard,
Link, Godehard,
Link, Godehard,
Mühlhölzer, Felix,
Mühlhölzer, Felix,
Niebergall, Karl-Georg,
Niebergall, Karl-Georg,
Polański, Marek,
Polański, Marek,
Roth, Daniel,
Roth, Daniel,
Schirn, Matthias,
Schirn, Matthias,
Schneider, Gregor,
Schneider, Gregor,
Schuster, Peter,
Schuster, Peter,
Ziche, Paul,
Ziche, Paul,
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title Formalism and Beyond : On the Nature of Mathematical Discourse /
spellingShingle Formalism and Beyond : On the Nature of Mathematical Discourse /
Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
Frontmatter --
Contents --
Preface --
Duality, Epistemic Efficiency & Consistency --
Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others --
Frege on Formality and the 1906 Independence-Test --
Formal Discourse in Russell: From Metaphysics to Philosophical Logic --
On Live and Dead Signs in Mathematics --
Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 --
Assumptions of Infinity --
The Interpretation of Classes in Axiomatic Set Theory --
Purity in Arithmetic: some Formal and Informal Issues --
Domain Extensions and Higher-Order Syntactical Interpretations --
Finite Methods in Mathematical Practice --
List of Contributors --
Name Index
title_sub On the Nature of Mathematical Discourse /
title_full Formalism and Beyond : On the Nature of Mathematical Discourse / ed. by Godehard Link.
title_fullStr Formalism and Beyond : On the Nature of Mathematical Discourse / ed. by Godehard Link.
title_full_unstemmed Formalism and Beyond : On the Nature of Mathematical Discourse / ed. by Godehard Link.
title_auth Formalism and Beyond : On the Nature of Mathematical Discourse /
title_alt Frontmatter --
Contents --
Preface --
Duality, Epistemic Efficiency & Consistency --
Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others --
Frege on Formality and the 1906 Independence-Test --
Formal Discourse in Russell: From Metaphysics to Philosophical Logic --
On Live and Dead Signs in Mathematics --
Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 --
Assumptions of Infinity --
The Interpretation of Classes in Axiomatic Set Theory --
Purity in Arithmetic: some Formal and Informal Issues --
Domain Extensions and Higher-Order Syntactical Interpretations --
Finite Methods in Mathematical Practice --
List of Contributors --
Name Index
title_new Formalism and Beyond :
title_sort formalism and beyond : on the nature of mathematical discourse /
series Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
series2 Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
publisher De Gruyter,
publishDate 2014
physical 1 online resource (420 p.)
Issued also in print.
contents Frontmatter --
Contents --
Preface --
Duality, Epistemic Efficiency & Consistency --
Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others --
Frege on Formality and the 1906 Independence-Test --
Formal Discourse in Russell: From Metaphysics to Philosophical Logic --
On Live and Dead Signs in Mathematics --
Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 --
Assumptions of Infinity --
The Interpretation of Classes in Axiomatic Set Theory --
Purity in Arithmetic: some Formal and Informal Issues --
Domain Extensions and Higher-Order Syntactical Interpretations --
Finite Methods in Mathematical Practice --
List of Contributors --
Name Index
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9783110238570
9783110238488
9783110636949
9783110369526
9783110370393
9781614519966
9781614518297
issn 2198-2201 ;
url https://doi.org/10.1515/9781614518471
https://www.degruyter.com/isbn/9781614518471
https://www.degruyter.com/document/cover/isbn/9781614518471/original
illustrated Not Illustrated
doi_str_mv 10.1515/9781614518471
oclc_num 896867316
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Title is part of eBook package: De Gruyter DGBA Philosophy 2000 - 2014
Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014
Title is part of eBook package: De Gruyter EBOOK PACKAGE Philosophy 2014
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