20 ideas
| 22358 | Scientific objectivity lies in inter-subjective testing [Popper] |
| 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] |
| 17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
| 17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
| 17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
| 22188 | Give Nobel Prizes for really good refutations? [Gorham on Popper] |
| 7780 | Falsification is the criterion of demarcation between science and non-science [Popper, by Magee] |
| 16830 | We don't only reject hypotheses because we have falsified them [Lipton on Popper] |
| 6794 | If falsification requires logical inconsistency, then probabilistic statements can't be falsified [Bird on Popper] |
| 6795 | When Popper gets in difficulties, he quietly uses induction to help out [Bird on Popper] |
| 3856 | Good theories have empirical content, explain a lot, and are not falsified [Popper, by Newton-Smith] |
| 7779 | There is no such thing as induction [Popper, by Magee] |
| 3860 | Science cannot be shown to be rational if induction is rejected [Newton-Smith on Popper] |