Verlag: Clarendon Press Oxford University Press, 2000. 9780198250753, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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ISBN 10: 0198250754 ISBN 13: 9780198250753
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ISBN 10: 0198250754 ISBN 13: 9780198250753
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Verlag: Clarendon Press, 2000
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ISBN 10: 0198250754 ISBN 13: 9780198250753
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Verlag: OUP Oxford, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Set theory has rendered the notion of self-evident truths to be obsolete in mathematics. Penelope Maddy examines this dilemma using the minimum of technical jargon. Set theory is explained in a manner that can be understood by non-mathematicians.&Uu.
Verlag: OUP Oxford, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem¿realism¿is examined and rejected in favour of another approach¿naturalism¿which attends more closely to practical considerations drawn from within mathematics itself. Penelope Maddy defines naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Herclear, original discussion is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.
Verlag: Oxford University Press OUP, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Verlag: Oxford University Press, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Verlag: Clarendon Press / Oxford University Press, Oxford, New York, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Verlag: Oxford University Press, Oxford, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Paperback. Zustand: new. Paperback. Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved,what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objectiveworld of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view--realism--is assessed and finally rejected in favour of another-- naturalism--which attends less to metaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in theassessment of candidates for axiomatic status in set theory. Maddy's clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will beaccessible and enlightening to readers from both disciplines. "Naturalism in Mathematics" investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favour of another approach--naturalism--which attends more closely to practical considerations drawn from within mathematics itself. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Verlag: Oxford University Press, Oxford, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Paperback. Zustand: new. Paperback. Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved,what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objectiveworld of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view--realism--is assessed and finally rejected in favour of another-- naturalism--which attends less to metaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in theassessment of candidates for axiomatic status in set theory. Maddy's clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will beaccessible and enlightening to readers from both disciplines. "Naturalism in Mathematics" investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favour of another approach--naturalism--which attends more closely to practical considerations drawn from within mathematics itself. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Verlag: Clarendon Press, 2000
ISBN 10: 0198250754 ISBN 13: 9780198250753
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Paperback. Zustand: New. In shrink wrap! Looks like an interesting title!.