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The Space of Mathematics:

Philosophical, Epistemological and Historical Explorations
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Javier Echeverría, Adoni Ibarra, Thomas Mormann
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Walter de Gruyter, 1992 - Mathematics - 422 pages
  

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Selected pages

Contents

The Protean Character of Mathematics
3
Categories of Space and of Quantity
14
Structural Analogies Between
31
Reduction and Explanation Science vs Mathematics
47
Reality Truth and Confirmation in Mathematics
60
Tacit Knowledge in Mathematical Theory
79
Structuresimilarity as a Cornerstone of
91
Applying Mathematics and the Indispensibility
115
Mathematics in Philosophy
192
Are There Revolutions in Mathematics?
205
Observations Problems and Conjectures in Number
230
Historical Aspects of the Foundations of Error Theory
253
A Structuralist View of Lagranges Algebraic
280
Constructivism and Objects of Mathematical Theory
296
Turings Oracle From Absolute to Relative
314
Computers and Mathematics The Search
349

Mathematical Structures and Physical Necessity
132
The Role of Mathematics in Physical Science
141
The Status of Settheoretic Axioms
156
Suppes Predicates for Classical
168
Theories and the Flow of Information
367
Towards a Typology of Intertheoretical Relations
403
Copyright

Common terms and phrases

Abraham Robinson abstract algebraic analytic applied approach arithmetic arithmetical mean axiomatic axioms calculus category theory Cauchy century complexity concept consider constraints defined definition differential distributive category ematical entities equations errors example exist finite formal formula foundations functor fundamental group Gauss geometry given idea intensive quantities interpretation intuitive knowledge Lagrange Lakatos language Leibniz linear logic manifold math mathematical objects mathematical theory mathematicians means mechanics method natural numbers Newton nonstandard analysis notion Number Theory observations ontological order theories partial recursive functional particular philosophy of mathematics philosophy of science physical theory possible predicates prime number principle problem procedure PROLOG proof pure question recursion theory recursive function reduction relation representation revolution scientific sense set theory set-theoretic space species of structures Suppes symbolic constructs theorem theory elements theory nets tion Turing variable

References to this book

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From Google Scholar

Dynamic Interactions With The Philosophy Of Mathematics
Donald GILLIES, Yuxin ZHENG
Foundations in the 20th Century
Gerhard Heinzmann
Naturalism and the Foundations of Mathematical Practice–A ...
Bart Van Kerkhove - 2005

References from web pages

On What We Know We Don't Know Sylvain Bromberger TOE UNIVERSITY ...
On What We Know. We Don't Know. Explanation, Theory, Linguistics,. and How Questions Shape Them. Sylvain Bromberger. In this collection of essays, ...
bjps.oxfordjournals.org/ cgi/ issue_pdf/ backmatter_pdf/ 43/ 3.pdf

Universität Paderborn: Zentralblatt
Universität Paderborn - Home Universität Paderborn. Die Universität der Informationsgesellschaft. Home > Fakultäten > Fakultät für Kulturwissenschaften ...
www.uni-paderborn.de/ fakultaeten/ kw/ institute-einrichtungen/ institut-fuer-humanwissenschaften/ philosophie/ personal/ p...

E authors
The Space of mathematics : philosophical, epistemological, and historical explorations (Berlin, 1992). hm Edwards, Fermat's last theorem : A genetic ...
www-groups.dcs.st-and.ac.uk/ ~history/ Bibliography/ E.html

RECENSIONI – REVIEWS The Space of Mathematics. Philosophical ...
361. Reviews. Epistemologia XVIII (1995), pp. 361-374. RECENSIONI – REVIEWS. The Space of Mathematics. Philosophical, Epistemological, and Historical ...
www.tilgher.it/ chrCorrelati/ upload/ doc/ Recens_20040423.pdf

Bibliography of structuralism II (1989–1994 and Additions)
The Space of Mathematics. Philosophical, Epistemological, and Historical Explorations,. Walter de Gruyter, Berlin, pp. 60-78. ...
www.springerlink.com/ index/ X3N174N154173H27.pdf

Nationalkomitee der Bundesrepublik Deutschland
1. Wolfhard Weber. Naturwissenschafts- und Technikgeschichte in Deutschland,. 1989-1992. Eine Übersicht über Forschung und Lehre an den Institutionen ...
www.ruhr-uni-bochum.de/ technikhist/ iuhpst/ iunkFBericht1993.pdf

Uppsala universitetsbibliotek - DISA - Exemplarlista
Titel, The space of mathematics : philosophical, epistemological, and historical explorations / edited by Javier Echeverria . ...
disaweb.ub.uu.se/ cgi-bin/ chameleon?host=localhost%208045%20DEFAULT& search=KEYWORD& function=INITREQ& SourceScreen=NEXT...

Bibliographic information

QR code for The Space of Mathematics
TitleThe Space of Mathematics: Philosophical, Epistemological and Historical Explorations
Contributions to the Sociology of Language
FOUNDATIONS OF COMMUNICATION
Foundations of communication and cognition : Library edition
Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition Series
Grundlagen der Kommunikation und Kognition : Bibliotheksausgabe
EditorsJavier Echeverría, Adoni Ibarra, Thomas Mormann
ContributorJavier Echeverría
PublisherWalter de Gruyter, 1992
ISBN3110132494, 9783110132496
Length422 pages
Subjects › 

Mathematics / General
  
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