청구기호 |
QA8.4 F73 2014 |
형태사항 |
x, 308 p. : ill. ; 23 cm.
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언어 |
English |
서지주기 |
Includes bibliographical references (p. 302-304) and index.
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내용 |
Part I. The science of quantity and structure. The Aristotelian realist point of view -- Uninstantiated universals and 'semi-Platonist' Aristotelianism -- Elementary mathematics : the science of quantity -- Higher mathematics : science of the purely structural -- Necessary truths about reality -- The formal sciences discover the philosophers' stone -- Comparisons and objections -- Infinity -- Geometry : mathematics or empirical science? -- Part II. Knowing mathematical reality. Knowing mathematics : pattern recognition and perception of quantity and structure -- Knowing mathematics : visualization and understanding -- Knowing mathematics : proof and certainty -- Explanation in mathematics -- Idealization : an Aristotelian view -- Non-deductive logic in mathematics -- Epilogue : mathematics, last bastion of reason.
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주제 |
Mathematics --Philosophy.
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LCCN |
2014395916
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ISBN |
9781137400727
, 1137400722
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QR CODE |
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