7 ideas
18198 | Mathematics is part of science; transfinite mathematics I take as mostly uninterpreted [Quine] |
10735 | Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach] |
18284 | Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper] |
10732 | If concepts are just recognitional, then general judgements would be impossible [Geach] |
10731 | For abstractionists, concepts are capacities to recognise recurrent features of the world [Geach] |
10733 | The abstractionist cannot explain 'some' and 'not' [Geach] |
10734 | Only a judgement can distinguish 'striking' from 'being struck' [Geach] |