10 ideas
17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
9548 | A mathematical object exists if there is no contradiction in its definition [Waterfield] |
16668 | Modes of things exist in some way, without being full-blown substances [Gassendi] |
16730 | If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi] |
16619 | We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi] |
3400 | Things must have parts to intermingle [Gassendi] |
16593 | Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi] |
16729 | How do mere atoms produce qualities like colour, flavour and odour? [Gassendi] |
17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |