24 ideas
20320 | Truth is what unites, and the profound truths create a community [Jaspers] |
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] |
18465 | An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen] |
20323 | Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers] |
20322 | I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers] |
20324 | My freedom increases as I broaden my vision of possiblities and motives [Jaspers] |
20318 | My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers] |
20321 | The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers] |
20325 | Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers] |
20317 | Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers] |
20315 | 'Existenz' is the potential being, which I could have, and ought to have [Jaspers] |
20319 | We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers] |
20316 | Every decision I make moves towards or away from fulfilled Existenz [Jaspers] |
6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |