12 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] |
3448 | Do new ideas increase the weight of the brain? [Dance] |
4692 | It is not true that killing and allowing to die (or acts and omissions) are morally indistinguishable [Foot] |
4694 | Making a runaway tram kill one person instead of five is diverting a fatal sequence, not initiating one [Foot] |
4693 | The right of non-interference (with a 'negative duty'), and the right to goods/services ('positive') [Foot] |