23 ideas
19735 | Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco] |
7893 | Our life is the creation of our mind [Anon (Dham)] |
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] |
7898 | The world is just the illusion of an appearance [Anon (Dham)] |
19734 | If value is practical, knowledge is no better than true opinion [Greco] |
19733 | Externalist theories don't explain why knowledge has value [Greco] |
7894 | Hate is conquered by love [Anon (Dham)] |
7899 | Even divine pleasure will not satisfy the wise, as it is insatiable, and leads to pain [Anon (Dham)] |
7896 | The foolish gradually fill with evil, like a slowly-filled water-jar [Anon (Dham)] |
7897 | The wise gradually fill with good, like a slowly-filled water-jar [Anon (Dham)] |
7895 | Don't befriend fools; either find superior friends, or travel alone [Anon (Dham)] |
7900 | Speak the truth, yield not to anger, give what you can to him who asks [Anon (Dham)] |