The Space of Mathematics : : Philosophical, Epistemological, and Historical Explorations / / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann.
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©1992 |
| Year of Publication: | 2012 |
| Edition: | Reprint 2012 |
| Language: | English |
| Series: | Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition
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| Physical Description: | 1 online resource (422 p.) |
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The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann. Reprint 2012 Berlin ; Boston : De Gruyter, [2012] ©1992 1 online resource (422 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- Structural Dimensions -- The Protean Character of Mathematics -- Categories of Space and of Quantity -- Structural Analogies Between Mathematical and Empirical Theories -- Reduction and Explanation: Science vs. Mathematics -- Reality, Truth, and Confirmation in Mathematics – Reflections on the Quasi-Empiricist Programme -- Tacit Knowledge in Mathematical Theory -- Structure-Similarity as a Cornerstone of the Philosophy of Mathematics -- Dimensions of Applicability -- Applying Mathematics and the Indispensability Argument -- Mathematical Structures and Physical Necessity -- The Role of Mathematics in Physical Science -- The Status of Set-theoretic Axioms in Empirical Theories -- Suppes Predicates for Classical Physics -- Mathematics in Philosophy -- Historical Dimensions -- Are There Revolutions in Mathematics? -- Observations, Problems and Conjectures in Number Theory – The History of the Prime Number Theorem -- Historical Aspects of the Foundations of Error Theory -- A Structuralist View of Lagrange’s Algebraic Analysis and the German Combinatorial School -- Constructivism and Objects of Mathematical Theory -- Turing’s “Oracle”: From Absolute to Relative Computability – and Back -- Computers and Mathematics: The Search for a Discipline of Computer Science -- Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations -- Theories and the Flow of Information -- Structuralism and Scientific Discovery -- Towards a Typology of Intertheoretical Relations -- Index of Names -- 423-424 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 29. Jun 2022) Mathematics History Congresses. Mathematics Philosophy Congresses. Geschichte. Kongress. Mathematik. Philosophie. San Sebastian ‹1990›. MATHEMATICS / General. bisacsh BREGER, HERBERT, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb COSTA, NEWTON C. A. DA, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb DAUBEN, JOSEPH W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb DORIA, F. ANTONIO, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb ECHEVERRIA, JAVIER, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Echeverria, Javier, editor. edt http://id.loc.gov/vocabulary/relators/edt FEFERMAN, SOLOMON, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb GRATTAN-GUINNESS, IVOR, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb HOWSON, COLIN, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb IBARRA, ANDONI, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ibarra, Andoni, editor. edt http://id.loc.gov/vocabulary/relators/edt JAHNKE, HANS NIELS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KNOBLOCH, EBERHARD, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb LAWVERE, F. WILLIAM, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MACLANE, SAUNDERS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MAHONEY, MICHAEL S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MORMANN, THOMAS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MOSTERIN, JESUS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MOULINES, C. ULISES, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mormann, Thomas, editor. edt http://id.loc.gov/vocabulary/relators/edt NIINILUOTO, ILKKA, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb RANTALA, VEIKKO, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb RESNIK, MICHAEL D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SCHEIBE, ERHARD, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SCHMIDT, HEINZ-JÜRGEN, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SNEED, JOSEPH D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb TORRETTI, ROBERTO, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb ΟTTE, MICHAEL, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA print 9783110132496 https://doi.org/10.1515/9783110870299 https://www.degruyter.com/isbn/9783110870299 Cover https://www.degruyter.com/document/cover/isbn/9783110870299/original |
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English |
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BREGER, HERBERT, BREGER, HERBERT, COSTA, NEWTON C. A. DA, COSTA, NEWTON C. A. DA, DAUBEN, JOSEPH W., DAUBEN, JOSEPH W., DORIA, F. ANTONIO, DORIA, F. ANTONIO, ECHEVERRIA, JAVIER, ECHEVERRIA, JAVIER, Echeverria, Javier, Echeverria, Javier, FEFERMAN, SOLOMON, FEFERMAN, SOLOMON, GRATTAN-GUINNESS, IVOR, GRATTAN-GUINNESS, IVOR, HOWSON, COLIN, HOWSON, COLIN, IBARRA, ANDONI, IBARRA, ANDONI, Ibarra, Andoni, Ibarra, Andoni, JAHNKE, HANS NIELS, JAHNKE, HANS NIELS, KNOBLOCH, EBERHARD, KNOBLOCH, EBERHARD, LAWVERE, F. WILLIAM, LAWVERE, F. WILLIAM, MACLANE, SAUNDERS, MACLANE, SAUNDERS, MAHONEY, MICHAEL S., MAHONEY, MICHAEL S., MORMANN, THOMAS, MORMANN, THOMAS, MOSTERIN, JESUS, MOSTERIN, JESUS, MOULINES, C. ULISES, MOULINES, C. ULISES, Mormann, Thomas, Mormann, Thomas, NIINILUOTO, ILKKA, NIINILUOTO, ILKKA, RANTALA, VEIKKO, RANTALA, VEIKKO, RESNIK, MICHAEL D., RESNIK, MICHAEL D., SCHEIBE, ERHARD, SCHEIBE, ERHARD, SCHMIDT, HEINZ-JÜRGEN, SCHMIDT, HEINZ-JÜRGEN, SNEED, JOSEPH D., SNEED, JOSEPH D., TORRETTI, ROBERTO, TORRETTI, ROBERTO, ΟTTE, MICHAEL, ΟTTE, MICHAEL, |
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BREGER, HERBERT, BREGER, HERBERT, COSTA, NEWTON C. A. DA, COSTA, NEWTON C. A. DA, DAUBEN, JOSEPH W., DAUBEN, JOSEPH W., DORIA, F. ANTONIO, DORIA, F. ANTONIO, ECHEVERRIA, JAVIER, ECHEVERRIA, JAVIER, Echeverria, Javier, Echeverria, Javier, FEFERMAN, SOLOMON, FEFERMAN, SOLOMON, GRATTAN-GUINNESS, IVOR, GRATTAN-GUINNESS, IVOR, HOWSON, COLIN, HOWSON, COLIN, IBARRA, ANDONI, IBARRA, ANDONI, Ibarra, Andoni, Ibarra, Andoni, JAHNKE, HANS NIELS, JAHNKE, HANS NIELS, KNOBLOCH, EBERHARD, KNOBLOCH, EBERHARD, LAWVERE, F. WILLIAM, LAWVERE, F. WILLIAM, MACLANE, SAUNDERS, MACLANE, SAUNDERS, MAHONEY, MICHAEL S., MAHONEY, MICHAEL S., MORMANN, THOMAS, MORMANN, THOMAS, MOSTERIN, JESUS, MOSTERIN, JESUS, MOULINES, C. ULISES, MOULINES, C. ULISES, Mormann, Thomas, Mormann, Thomas, NIINILUOTO, ILKKA, NIINILUOTO, ILKKA, RANTALA, VEIKKO, RANTALA, VEIKKO, RESNIK, MICHAEL D., RESNIK, MICHAEL D., SCHEIBE, ERHARD, SCHEIBE, ERHARD, SCHMIDT, HEINZ-JÜRGEN, SCHMIDT, HEINZ-JÜRGEN, SNEED, JOSEPH D., SNEED, JOSEPH D., TORRETTI, ROBERTO, TORRETTI, ROBERTO, ΟTTE, MICHAEL, ΟTTE, MICHAEL, |
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BREGER, HERBERT, |
| title |
The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / |
| spellingShingle |
The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- Structural Dimensions -- The Protean Character of Mathematics -- Categories of Space and of Quantity -- Structural Analogies Between Mathematical and Empirical Theories -- Reduction and Explanation: Science vs. Mathematics -- Reality, Truth, and Confirmation in Mathematics – Reflections on the Quasi-Empiricist Programme -- Tacit Knowledge in Mathematical Theory -- Structure-Similarity as a Cornerstone of the Philosophy of Mathematics -- Dimensions of Applicability -- Applying Mathematics and the Indispensability Argument -- Mathematical Structures and Physical Necessity -- The Role of Mathematics in Physical Science -- The Status of Set-theoretic Axioms in Empirical Theories -- Suppes Predicates for Classical Physics -- Mathematics in Philosophy -- Historical Dimensions -- Are There Revolutions in Mathematics? -- Observations, Problems and Conjectures in Number Theory – The History of the Prime Number Theorem -- Historical Aspects of the Foundations of Error Theory -- A Structuralist View of Lagrange’s Algebraic Analysis and the German Combinatorial School -- Constructivism and Objects of Mathematical Theory -- Turing’s “Oracle”: From Absolute to Relative Computability – and Back -- Computers and Mathematics: The Search for a Discipline of Computer Science -- Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations -- Theories and the Flow of Information -- Structuralism and Scientific Discovery -- Towards a Typology of Intertheoretical Relations -- Index of Names -- 423-424 |
| title_sub |
Philosophical, Epistemological, and Historical Explorations / |
| title_full |
The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann. |
| title_fullStr |
The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann. |
| title_full_unstemmed |
The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann. |
| title_auth |
The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations / |
| title_alt |
Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- Structural Dimensions -- The Protean Character of Mathematics -- Categories of Space and of Quantity -- Structural Analogies Between Mathematical and Empirical Theories -- Reduction and Explanation: Science vs. Mathematics -- Reality, Truth, and Confirmation in Mathematics – Reflections on the Quasi-Empiricist Programme -- Tacit Knowledge in Mathematical Theory -- Structure-Similarity as a Cornerstone of the Philosophy of Mathematics -- Dimensions of Applicability -- Applying Mathematics and the Indispensability Argument -- Mathematical Structures and Physical Necessity -- The Role of Mathematics in Physical Science -- The Status of Set-theoretic Axioms in Empirical Theories -- Suppes Predicates for Classical Physics -- Mathematics in Philosophy -- Historical Dimensions -- Are There Revolutions in Mathematics? -- Observations, Problems and Conjectures in Number Theory – The History of the Prime Number Theorem -- Historical Aspects of the Foundations of Error Theory -- A Structuralist View of Lagrange’s Algebraic Analysis and the German Combinatorial School -- Constructivism and Objects of Mathematical Theory -- Turing’s “Oracle”: From Absolute to Relative Computability – and Back -- Computers and Mathematics: The Search for a Discipline of Computer Science -- Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations -- Theories and the Flow of Information -- Structuralism and Scientific Discovery -- Towards a Typology of Intertheoretical Relations -- Index of Names -- 423-424 |
| title_new |
The Space of Mathematics : |
| title_sort |
the space of mathematics : philosophical, epistemological, and historical explorations / |
| series |
Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition |
| series2 |
Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition |
| publisher |
De Gruyter, |
| publishDate |
2012 |
| physical |
1 online resource (422 p.) Issued also in print. |
| edition |
Reprint 2012 |
| contents |
Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- Structural Dimensions -- The Protean Character of Mathematics -- Categories of Space and of Quantity -- Structural Analogies Between Mathematical and Empirical Theories -- Reduction and Explanation: Science vs. Mathematics -- Reality, Truth, and Confirmation in Mathematics – Reflections on the Quasi-Empiricist Programme -- Tacit Knowledge in Mathematical Theory -- Structure-Similarity as a Cornerstone of the Philosophy of Mathematics -- Dimensions of Applicability -- Applying Mathematics and the Indispensability Argument -- Mathematical Structures and Physical Necessity -- The Role of Mathematics in Physical Science -- The Status of Set-theoretic Axioms in Empirical Theories -- Suppes Predicates for Classical Physics -- Mathematics in Philosophy -- Historical Dimensions -- Are There Revolutions in Mathematics? -- Observations, Problems and Conjectures in Number Theory – The History of the Prime Number Theorem -- Historical Aspects of the Foundations of Error Theory -- A Structuralist View of Lagrange’s Algebraic Analysis and the German Combinatorial School -- Constructivism and Objects of Mathematical Theory -- Turing’s “Oracle”: From Absolute to Relative Computability – and Back -- Computers and Mathematics: The Search for a Discipline of Computer Science -- Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations -- Theories and the Flow of Information -- Structuralism and Scientific Discovery -- Towards a Typology of Intertheoretical Relations -- Index of Names -- 423-424 |
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9783110870299 9783110637199 9783110132496 |
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Q - Science |
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QA - Mathematics |
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QA8 |
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QA 18 S63 41992EB |
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Congresses. |
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https://doi.org/10.1515/9783110870299 https://www.degruyter.com/isbn/9783110870299 https://www.degruyter.com/document/cover/isbn/9783110870299/original |
| illustrated |
Not Illustrated |
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500 - Science |
| dewey-tens |
510 - Mathematics |
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510 - Mathematics |
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510 |
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3510 |
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510 |
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510 |
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10.1515/9783110870299 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07142nam a22011175i 4500</leader><controlfield tag="001">9783110870299</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20220629043637.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">220629t20121992gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110870299</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110870299</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)55276</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979692948</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA8</subfield><subfield code="b">.S63 1992eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT000000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">CC 2600</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/17610:</subfield></datafield><datafield tag="245" ind1="0" ind2="4"><subfield code="a">The Space of Mathematics :</subfield><subfield code="b">Philosophical, Epistemological, and Historical Explorations /</subfield><subfield code="c">ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2012</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2012]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (422 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Table of Contents -- </subfield><subfield code="t">Acknowledgments -- </subfield><subfield code="t">Introductory afterthoughts -- </subfield><subfield code="t">Structural Dimensions -- </subfield><subfield code="t">The Protean Character of Mathematics -- </subfield><subfield code="t">Categories of Space and of Quantity -- </subfield><subfield code="t">Structural Analogies Between Mathematical and Empirical Theories -- </subfield><subfield code="t">Reduction and Explanation: Science vs. Mathematics -- </subfield><subfield code="t">Reality, Truth, and Confirmation in Mathematics – Reflections on the Quasi-Empiricist Programme -- </subfield><subfield code="t">Tacit Knowledge in Mathematical Theory -- </subfield><subfield code="t">Structure-Similarity as a Cornerstone of the Philosophy of Mathematics -- </subfield><subfield code="t">Dimensions of Applicability -- </subfield><subfield code="t">Applying Mathematics and the Indispensability Argument -- </subfield><subfield code="t">Mathematical Structures and Physical Necessity -- </subfield><subfield code="t">The Role of Mathematics in Physical Science -- </subfield><subfield code="t">The Status of Set-theoretic Axioms in Empirical Theories -- </subfield><subfield code="t">Suppes Predicates for Classical Physics -- </subfield><subfield code="t">Mathematics in Philosophy -- </subfield><subfield code="t">Historical Dimensions -- </subfield><subfield code="t">Are There Revolutions in Mathematics? 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