Combining Texts

All the ideas for 'Metaphysics', 'Maths as a Science of Patterns' and 'Letters to Mersenne'

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12 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
3653 My Meditations are the complete foundation of my physics [Descartes]
3. Truth / A. Truth Problems / 2. Defining Truth
4736 Truth is such a transcendentally clear notion that it cannot be further defined [Descartes]
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
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
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]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
16771 A composite is a true unity if all of its parts fall under one essence [Scheibler]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
3652 I can't prove the soul is indestructible, only that it is separate from the mortal body [Descartes]