16 ideas
| 9193 | ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett] |
| 9194 | The main alternative to ZF is one which includes looser classes as well as sets [Dummett] |
| 9195 | Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett] |
| 9186 | First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett] |
| 9187 | Logical truths and inference are characterized either syntactically or semantically [Dummett] |
| 9191 | Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett] |
| 17435 | Objects do not naturally form countable units [Koslicki] |
| 17433 | We can still count squares, even if they overlap [Koslicki] |
| 17439 | There is no deep reason why we count carrots but not asparagus [Koslicki] |
| 17434 | We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki] |
| 9192 | The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett] |
| 17436 | We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki] |
| 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] |
| 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] |