22 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] |
3756 | Perception, introspection, testimony, memory, reason, and inference can give us knowledge [Bernecker/Dretske] |
3757 | Causal theory says true perceptions must be caused by the object perceived [Bernecker/Dretske] |
3759 | You can acquire new knowledge by exploring memories [Bernecker/Dretske] |
3752 | Justification can be of the belief, or of the person holding the belief [Bernecker/Dretske] |
3753 | Foundationalism aims to avoid an infinite regress [Bernecker/Dretske] |
3754 | Infallible sensations can't be foundations if they are non-epistemic [Bernecker/Dretske] |
3755 | Justification is normative, so it can't be reduced to cognitive psychology [Bernecker/Dretske] |
3761 | Modern arguments against the sceptic are epistemological and semantic externalism, and the focus on relevance [Bernecker/Dretske] |
3760 | Predictions are bound to be arbitrary if they depend on the language used [Bernecker/Dretske] |
3758 | Semantic externalism ties content to the world, reducing error [Bernecker/Dretske] |
20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |