24 ideas
16010 | While faith is a passion (as Kierkegaard says), wisdom is passionless [Wittgenstein] |
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] |
13030 | Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen] |
13032 | Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen] |
13033 | Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen] |
13037 | Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen] |
13038 | Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen] |
13034 | Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen] |
13039 | Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen] |
13036 | Choice: ∀A ∃R (R well-orders A) [Kunen] |
13029 | Set Existence: ∃x (x = x) [Kunen] |
13031 | Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen] |
13040 | Constructibility: V = L (all sets are constructible) [Kunen] |
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] |