19 ideas
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] |
19419 | Not all of perception is accompanied by consciousness [Leibniz] |
19421 | Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
19420 | Death and generation are just transformations of an animal, augmented or diminished [Leibniz] |
19416 | Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz] |
19422 | Every particle of matter contains organic bodies [Leibniz] |
19418 | Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz] |
19417 | All substances are in harmony, even though separate, so they must have one divine cause [Leibniz] |