12 ideas
21943 | Since Kant, self-criticism has been part of philosophy [Gutting] |
21944 | Structuralism describes human phenomena in terms of unconscious structures [Gutting] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [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] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
8326 | Science has shown that causal relations are just transfers of energy or momentum [Fair, by Sosa/Tooley] |
10379 | Fair shifted his view to talk of counterfactuals about energy flow [Fair, by Schaffer,J] |