13 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] |
8443 | Mereological essentialism says an entity must have exactly those parts [Sosa] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
8442 | What law would explain causation in the case of causing a table to come into existence? [Sosa] |
8444 | Where is the necessary causation in the three people being tall making everybody tall? [Sosa] |
8445 | The necessitated is not always a result or consequence of the necessitator [Sosa] |