Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Mathematics and Philosophy: grand and little' and 'Philosophical Insignificance of A Priori Knowledge'

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12 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
9808 Philosophy aims to reveal the grandeur of mathematics [Badiou]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
13407 All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
9812 In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
9813 Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
9809 Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
9811 It is of the essence of being to appear [Badiou]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
13409 Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
13406 A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
13408 Intuition and thought-experiments embody substantial information about the world [Papineau]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
13410 Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
9814 All great poetry is engaged in rivalry with mathematics [Badiou]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]