16 ideas
22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
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] |
19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |
3444 | If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm] |
3446 | For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm] |
9268 | If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm] |
3442 | Responsibility seems to conflict with events being either caused or not caused [Chisholm] |
3443 | Desires may rule us, but are we responsible for our desires? [Chisholm] |
3445 | Causation among objects relates either events or states [Chisholm] |