Combining Texts

All the ideas for 'Saundaranandakavya', 'Maths as a Science of Patterns' and 'The Analytic/Synthetic Distinction'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
7910 Pursue truth with the urgency of someone whose clothes are on fire [Ashvaghosha]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
6299 Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
6304 Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
6300 Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
6303 Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
6295 There are too many mathematical objects for them all to be mental or physical [Resnik]
6296 Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
6301 Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
20298 The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey]
19. Language / A. Nature of Meaning / 8. Synonymy
20300 Externalist synonymy is there being a correct link to the same external phenomena [Rey]
19. Language / E. Analyticity / 1. Analytic Propositions
20294 'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey]
20293 Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey]
20297 Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey]
20301 The meaning properties of a term are those which explain how the term is typically used [Rey]
20302 An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey]
20303 Research throws doubts on the claimed intuitions which support analyticity [Rey]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
20299 If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7909 The Eightfold Path concerns morality, wisdom, and tranquillity [Ashvaghosha]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
7908 At the end of a saint, he is not located in space, but just ceases to be disturbed [Ashvaghosha]