Combining Texts

All the ideas for 'Through the Looking Glass', 'talk' and 'Maths as a Science of Patterns'

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12 ideas

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 / A. Nature of Existence / 3. Being / e. Being and nothing
21982 I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
6900 A prior understanding of beauty is needed to assert that the Form of the Beautiful is beautiful [Westaway]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
6956 At what point does an object become 'whole'? [Westaway]
17. Mind and Body / C. Functionalism / 7. Chinese Room
7335 The Chinese Room should be able to ask itself questions in Mandarin [Westaway]