22 ideas
14255 | We understand things through their dependency relations [Fine,K] |
14250 | Metaphysics deals with the existence of things and with the nature of things [Fine,K] |
14259 | Maybe two objects might require simultaneous real definitions, as with two simultaneous terms [Fine,K] |
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] |
14253 | An object's 'being' isn't existence; there's more to an object than existence, and its nature doesn't include existence [Fine,K] |
14261 | There is 'weak' dependence in one definition, and 'strong' dependence in all the definitions [Fine,K] |
14251 | A natural modal account of dependence says x depends on y if y must exist when x does [Fine,K] |
14257 | An object depends on another if the second cannot be eliminated from the first's definition [Fine,K] |
14254 | Dependency is the real counterpart of one term defining another [Fine,K] |
14252 | We should understand identity in terms of the propositions it renders true [Fine,K] |
14256 | How do we distinguish basic from derived esssences? [Fine,K] |
14258 | Maybe some things have essential relationships as well as essential properties [Fine,K] |
14260 | An object only essentially has a property if that property follows from every definition of the object [Fine,K] |
579 | Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle] |
578 | Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle] |