13 ideas
21750 | Science is sympathetic to truth as correspondence, since it depends on observation [Quine] |
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] |
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] |
21748 | More careful inductions gradually lead to the hypothetico-deductive method [Quine] |
21749 | Altruistic values concern other persons, and ceremonial values concern practices [Quine] |
21751 | Love seems to diminish with distance from oneself [Quine] |
20130 | It is absurd to think you can change your own essence, like a garment [Nietzsche] |