21 ideas
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| 10633 | 'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo] |
| 10638 | A pure logic is wholly general, purely formal, and directly known [Linnebo] |
| 10635 | Second-order quantification and plural quantification are different [Linnebo] |
| 10641 | Traditionally we eliminate plurals by quantifying over sets [Linnebo] |
| 10640 | Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo] |
| 10636 | Plural plurals are unnatural and need a first-level ontology [Linnebo] |
| 10639 | Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo] |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| 9809 | Mathematics inscribes being as such [Badiou] |
| 9811 | It is of the essence of being to appear [Badiou] |
| 10643 | We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo] |
| 10637 | Ordinary speakers posit objects without concern for ontology [Linnebo] |
| 10634 | Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo] |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
| 8430 | Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim] |
| 8396 | Many counterfactuals have nothing to do with causation [Kim, by Tooley] |
| 8429 | Counterfactuals can express four other relations between events, apart from causation [Kim] |
| 8428 | Causation is not the only dependency relation expressed by counterfactuals [Kim] |
| 4781 | Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos] |