19 ideas
| 16985 | Possible worlds allowed the application of set-theoretic models to modal logic [Kripke] |
| 16982 | A man has two names if the historical chains are different - even if they are the same! [Kripke] |
| 14775 | Numbers are just names devised for counting [Peirce] |
| 8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
| 9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
| 10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
| 14776 | That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce] |
| 16981 | With the necessity of self-identity plus Leibniz's Law, identity has to be an 'internal' relation [Kripke] |
| 4942 | The indiscernibility of identicals is as self-evident as the law of contradiction [Kripke] |
| 16984 | I don't think possible worlds reductively reveal the natures of modal operators etc. [Kripke] |
| 9385 | The very act of designating of an object with properties gives knowledge of a contingent truth [Kripke] |
| 4943 | Instead of talking about possible worlds, we can always say "It is possible that.." [Kripke] |
| 16983 | Probability with dice uses possible worlds, abstractions which fictionally simplify things [Kripke] |
| 14770 | Reasoning is based on statistical induction, so it can't achieve certainty or precision [Peirce] |
| 14774 | Innate truths are very uncertain and full of error, so they certainly have exceptions [Peirce] |
| 14772 | If we decide an idea is inspired, we still can't be sure we have got the idea right [Peirce] |
| 14773 | A truth is hard for us to understand if it rests on nothing but inspiration [Peirce] |
| 14771 | Only reason can establish whether some deliverance of revelation really is inspired [Peirce] |
| 14769 | Only imagination can connect phenomena together in a rational way [Peirce] |