Ontology and the Foundations of Mathematics: Talking Past Each Other (Elements in the Philosophy of Mathematics) - Softcover
Synopsis
The philosophical positions of realism and anti-realism are difficult to distinguish, nowhere more so than in the philosophy of mathematics.
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Ontology and the Foundations of Mathematics (Elements in the Philosophy of Mathematics)
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ISBN 13: 9781108716932
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Ontology and the Foundations of Mathematics (Elements in the Philosophy of Mathematics)
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ISBN 10: 1108716938
ISBN 13: 9781108716932
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Ontology and the Foundations of Mathematics : Talking Past Each Other
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ISBN 13: 9781108716932
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Ontology and the Foundations of Mathematics
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ISBN 10: 1108716938
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Paperback. Condition: New. 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. Seller Inventory # LU-9781108716932
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Ontology and the Foundations of Mathematics : Talking Past Each Other
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ISBN 13: 9781108716932
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Ontology and the Foundations of Mathematics (Elements in the Philosophy of Mathematics)
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ONTOLOGY AND THE FOUNDATIONS OF MATHEMA
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Ontology and the Foundations of Mathematics (Paperback)
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Paperback. Condition: new. Paperback. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108716932
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Ontology and the Foundations of Mathematics: Talking Past Each Other
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ISBN 10: 1108716938
ISBN 13: 9781108716932
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