Mathematical Platonism | Wikipedia audio article |
|
This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Philosophy_of_mathematics 00:00:30 1 Recurrent themes 00:01:49 2 History 00:05:16 2.1 Contemporary philosophy 00:10:10 3 Major themes 00:10:20 3.1 Mathematical realism 00:12:08 3.2 Mathematical anti-realism 00:12:39 4 Contemporary schools of thought 00:12:50 4.1 Platonism 00:16:29 4.2 Mathematicism 00:17:15 4.3 Logicism 00:20:51 4.4 Formalism 00:26:32 4.5 Conventionalism 00:27:13 4.6 Intuitionism 00:29:17 4.6.1 Constructivism 00:30:19 4.6.2 Finitism 00:31:54 4.7 Structuralism 00:35:05 4.8 Embodied mind theories 00:37:03 4.8.1 Aristotelian realism 00:39:09 4.8.2 Psychologism 00:40:41 4.8.3 Empiricism 00:45:43 4.9 Fictionalism 00:48:42 4.10 Social constructivism 00:55:00 4.11 Beyond the traditional schools 00:55:10 4.11.1 Unreasonable effectiveness 00:56:02 4.11.2 Popper's two senses 00:56:24 4.11.3 Philosophy of language 00:56:51 5 Arguments 00:59:02 5.1 Indispensability argument for realism 00:59:12 5.2 Epistemic argument against realism 01:01:08 6 Aesthetics 01:03:49 7 Journals 01:06:47 8 See also 01:07:05 8.1 Related works 01:07:15 8.2 Historical topics 01:07:24 9 Notes 01:07:43 10 Further reading 01:07:53 11 External links 01:21:05 External links Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services/invoke/uid/0000001a130b3f91 Other Wikipedia audio articles at: https://www.youtube.com/results?search_query=wikipedia+tts Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.8383652025640026 Voice name: en-GB-Wavenet-C "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand 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. |