20 ideas
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
3523 | Shadows are supervenient on their objects, but not reducible [Maslin] |
3517 | 'Ontology' means 'study of things which exist' [Maslin] |
3538 | Analogy to other minds is uncheckable, over-confident and chauvinistic [Maslin] |
3540 | If we are brains then we never meet each other [Maslin] |
3518 | I'm not the final authority on my understanding of maths [Maslin] |
3530 | Denial of purely mental causation will lead to epiphenomenalism [Maslin] |
3520 | Token-identity removes the explanatory role of the physical [Maslin] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
3528 | Causality may require that a law is being followed [Maslin] |
3525 | Strict laws make causation logically necessary [Maslin] |
3527 | Strict laws allow no exceptions and are part of a closed system [Maslin] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |