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Cover: 9781108716932 | Ontology and the Foundations of Mathematics | Penelope Rush | Buch
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Ontology and the Foundations of Mathematics
Taschenbuch von Penelope Rush
Sprache: Englisch

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Beschreibung
This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist. It also argues that an effective defence of just such a difference needs a commitment to the independence of mathematical reality, which in turn involves a commitment to the ontological access problem - the problem of how knowable mathematical truths are identifiable with a reality independent of us as knowers. Specifically, if the only access problem acknowledged is the epistemological problem - i.e. the problem of how we come to know mathematical truths - then nothing is gained by the realist notion of an independent reality and in effect, nothing distinguishes realism from anti-realism in mathematics.
This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist. It also argues that an effective defence of just such a difference needs a commitment to the independence of mathematical reality, which in turn involves a commitment to the ontological access problem - the problem of how knowable mathematical truths are identifiable with a reality independent of us as knowers. Specifically, if the only access problem acknowledged is the epistemological problem - i.e. the problem of how we come to know mathematical truths - then nothing is gained by the realist notion of an independent reality and in effect, nothing distinguishes realism from anti-realism in mathematics.
Inhaltsverzeichnis
1. What are we Talking about?; 2. Inter-translatability; 3. Two Access Problems; 4. Independence; 5. Justification.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781108716932
ISBN-10: 1108716938
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rush, Penelope
Hersteller: Cambridge University Press
Maße: 229 x 152 x 3 mm
Von/Mit: Penelope Rush
Erscheinungsdatum: 19.01.2022
Gewicht: 0,095 kg
Artikel-ID: 120755986
Inhaltsverzeichnis
1. What are we Talking about?; 2. Inter-translatability; 3. Two Access Problems; 4. Independence; 5. Justification.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781108716932
ISBN-10: 1108716938
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rush, Penelope
Hersteller: Cambridge University Press
Maße: 229 x 152 x 3 mm
Von/Mit: Penelope Rush
Erscheinungsdatum: 19.01.2022
Gewicht: 0,095 kg
Artikel-ID: 120755986
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