16 ideas
| 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] |
| 13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [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] |
| 16052 | 'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T] |
| 16053 | 'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T] |
| 16056 | Don't just observe supervenience - explain it! [Horgan,T] |
| 16054 | Physicalism needs more than global supervenience on the physical [Horgan,T] |
| 16055 | Materialism requires that physics be causally complete [Horgan,T] |
| 16669 | Everything that exists is either a being, or some mode of a being [Malebranche] |
| 16057 | Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T] |
| 12726 | In a true cause we see a necessary connection [Malebranche] |