16 ideas
| 8349 | The best way to do ontology is to make sense of our normal talk [Davidson] |
| 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] |
| 8348 | If we don't assume that events exist, we cannot make sense of our common talk [Davidson] |
| 8347 | Explanations typically relate statements, not events [Davidson] |
| 10371 | Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J] |
| 8403 | Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson] |
| 8346 | Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson] |
| 4778 | A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos] |
| 1515 | Pythagoreans believe it is absurd to seek for goodness anywhere except with the gods [Iamblichus] |