16 ideas
6950 | You can be rational with undetected or minor inconsistencies [Harman] |
6954 | A coherent conceptual scheme contains best explanations of most of your beliefs [Harman] |
3750 | "It is true that x" means no more than x [Ramsey] |
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] |
6955 | Enumerative induction is inference to the best explanation [Harman] |
6952 | Induction is 'defeasible', since additional information can invalidate it [Harman] |
6953 | All reasoning is inductive, and deduction only concerns implication [Harman] |
6951 | Ordinary rationality is conservative, starting from where your beliefs currently are [Harman] |
18818 | Sentence meaning is given by the actions to which it would lead [Ramsey] |