15 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] |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| 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] |
| 3102 | Why don't we experience or remember going to sleep at night? [Magee] |