Platonism (mathematics) | Wikipedia audio article

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00:01:37 1 Recurrent themes
00:02:25 2 History
00:04:03 2.1 Contemporary philosophy
00:06:28 3 Major themes
00:07:17 3.1 Mathematical realism
00:08:54 3.2 Mathematical anti-realism
00:10:32 4 Contemporary schools of thought
00:11:20 4.1 Platonism
00:12:57 4.2 Mathematicism
00:14:35 4.3 Logicism
00:16:12 4.4 Formalism
00:18:38 4.5 Conventionalism
00:20:15 4.6 Intuitionism
00:21:52 4.6.1 Constructivism
00:23:30 4.6.2 Finitism
00:25:07 4.7 Structuralism
00:26:44 4.8 Embodied mind theories
00:28:21 4.8.1 Aristotelian realism
00:29:59 4.8.2 Psychologism
00:31:36 4.8.3 Empiricism
00:34:02 4.9 Fictionalism
00:35:39 4.10 Social constructivism
00:38:05 4.11 Beyond the traditional schools
00:38:53 4.11.1 Unreasonable effectiveness
00:40:31 4.11.2 Popper's two senses
00:42:08 4.11.3 Philosophy of language
00:43:45 5 Arguments
00:45:22 5.1 Indispensability argument for realism
00:46:11 5.2 Epistemic argument against realism
00:47:48 6 Aesthetics
00:49:26 7 Journals
00:51:03 8 See also
00:51:51 8.1 Related works
00:52:40 8.2 Historical topics
00:53:29 9 Notes
00:54:17 10 Further reading
00:55:06 11 External links
00:58:20 External links
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SUMMARY
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The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and finding out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts.