34 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] |
18465 | An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen] |
15148 | Powers give explanations, without being necessary for some class membership [Chakravartty] |
15145 | A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty] |
15147 | Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty] |
1212 | Replacing timbers on Theseus' ship was the classic illustration of the problem of growth and change [Plutarch] |
5958 | The sun is always bright; it doesn't become bright when it emerges [Plutarch] |
15144 | Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty] |
5959 | Some philosophers say the soul is light [Plutarch] |
5960 | When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch] |
5952 | Rather than being the whole soul, maybe I am its chief part? [Plutarch] |
5951 | If atoms have no qualities, they cannot possibly produce a mind [Plutarch] |
5963 | Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch] |
20796 | Action needs an affinity for a presentation, and an impulse toward the affinity [Plutarch] |
1477 | Being manly and brave is the result of convention, not of human nature [Plutarch] |
1478 | Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch] |
5948 | The good life involves social participation, loyalty, temperance and honesty [Plutarch] |
1479 | Animals have not been led into homosexuality, because they value pleasure very little [Plutarch] |
5950 | If only atoms exist, how do qualities arise when the atoms come together? [Plutarch] |
15146 | Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty] |
15151 | Many causal laws do not refer to kinds, but only to properties [Chakravartty] |
5974 | People report seeing through rocks, or over the horizon, or impossibly small works [Plutarch] |
5957 | Absurd superstitions make people atheist, not disharmony in nature [Plutarch] |
5955 | No one will ever find a city that lacks religious practices [Plutarch] |