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Cover: 9781108995405 | Mathematics and Metaphilosophy | Justin Clarke-Doane | Taschenbuch
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Mathematics and Metaphilosophy
Taschenbuch von Justin Clarke-Doane
Sprache: Englisch

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Beschreibung
This Element discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the challenge to explain the (defeasible) justification of our mathematical beliefs ('the justificatory challenge'), arises insofar as disagreement over axioms bottoms out in disagreement over intuitions. And it argues that the challenge to explain their reliability ('the reliability challenge'), arises to the extent that we could have easily had different beliefs. The Element shows that mathematical facts are not, in general, empirically accessible, contra Quine, and that they cannot be dispensed with, contra Field. However, it argues that they might be so plentiful that our knowledge of them is unmysterious. The Element concludes with a complementary 'pluralism' about modality, logic and normative theory, highlighting its surprising implications. Metaphysically, pluralism engenders a kind of perspectivalism and indeterminacy. Methodologically, it vindicates Carnap's pragmatism, transposed to the key of realism.
This Element discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the challenge to explain the (defeasible) justification of our mathematical beliefs ('the justificatory challenge'), arises insofar as disagreement over axioms bottoms out in disagreement over intuitions. And it argues that the challenge to explain their reliability ('the reliability challenge'), arises to the extent that we could have easily had different beliefs. The Element shows that mathematical facts are not, in general, empirically accessible, contra Quine, and that they cannot be dispensed with, contra Field. However, it argues that they might be so plentiful that our knowledge of them is unmysterious. The Element concludes with a complementary 'pluralism' about modality, logic and normative theory, highlighting its surprising implications. Metaphysically, pluralism engenders a kind of perspectivalism and indeterminacy. Methodologically, it vindicates Carnap's pragmatism, transposed to the key of realism.
Inhaltsverzeichnis
Preface; Introduction; 1. Self-Evidence, Analyticity, and Intuition; 2. Observation and Indispensability; 3. Connection, Contingency and Pluralism; 4. Modality, Logic, and Normativity; Conclusions.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9781108995405
ISBN-10: 1108995403
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Clarke-Doane, Justin
Hersteller: Cambridge University Press
Maße: 229 x 152 x 4 mm
Von/Mit: Justin Clarke-Doane
Erscheinungsdatum: 21.06.2022
Gewicht: 0,111 kg
Artikel-ID: 121360786
Inhaltsverzeichnis
Preface; Introduction; 1. Self-Evidence, Analyticity, and Intuition; 2. Observation and Indispensability; 3. Connection, Contingency and Pluralism; 4. Modality, Logic, and Normativity; Conclusions.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9781108995405
ISBN-10: 1108995403
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Clarke-Doane, Justin
Hersteller: Cambridge University Press
Maße: 229 x 152 x 4 mm
Von/Mit: Justin Clarke-Doane
Erscheinungsdatum: 21.06.2022
Gewicht: 0,111 kg
Artikel-ID: 121360786
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