17 ideas
| 8868 | Objective truth arises from interpersonal communication [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] |
| 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] |
| 8867 | A belief requires understanding the distinctions of true-and-false, and appearance-and-reality [Davidson] |
| 10347 | Objectivity is intersubjectivity [Davidson] |
| 8866 | If we know other minds through behaviour, but not our own, we should assume they aren't like me [Davidson] |
| 10346 | Knowing other minds rests on knowing both one's own mind and the external world [Davidson, by Dummett] |
| 8870 | Content of thought is established through communication, so knowledge needs other minds [Davidson] |
| 8869 | The principle of charity attributes largely consistent logic and largely true beliefs to speakers [Davidson] |
| 20579 | Modern totalitarianism results from lack of social ties or shared goals [Arendt, by Oksala] |
| 20580 | The ideal subject for dictators is not a fanatic, but someone who can't distinguish true from false [Arendt, by Oksala] |