14 ideas
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] |
12314 | Audience-relative explanation, or metaphysical explanation based on information? [Stanford] |
12313 | Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford] |
12315 | We can explain by showing constitution, as well as showing causes [Stanford] |
20327 | Modern attention has moved from the intrinsic properties of art to its relational properties [Lamarque/Olson] |
20326 | Early 20th cent attempts at defining art focused on significant form, intuition, expression, unity [Lamarque/Olson] |
20330 | The dualistic view says works of art are either abstract objects (types), or physical objects [Lamarque/Olson] |