29 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] |
7401 | Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck] |
5454 | Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo] |
16560 | Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver] |
6248 | Reason is too slow and doubtful to guide all actions, which need external and moral senses [Hutcheson] |
6238 | We approve of actions by a superior moral sense [Hutcheson] |
6239 | We dislike a traitor, even if they give us great benefit [Hutcheson] |
6240 | The moral sense is not an innate idea, but an ability to approve or disapprove in a disinterested way [Hutcheson] |
6242 | We cannot choose our moral feelings, otherwise bribery could affect them [Hutcheson] |
6247 | Everyone feels uneasy when seeing others in pain, unless the others are evil [Hutcheson] |
6244 | Human nature seems incapable of universal malice, except what results from self-love [Hutcheson] |
6243 | As death approaches, why do we still care about family, friends or country? [Hutcheson] |
6246 | My action is not made good by a good effect, if I did not foresee and intend it [Hutcheson] |
6241 | Contempt of danger is just madness if it is not in some worthy cause [Hutcheson] |
6245 | That action is best, which procures the greatest happiness for the greatest number [Hutcheson] |
6251 | The loss of perfect rights causes misery, but the loss of imperfect rights reduces social good [Hutcheson] |
3645 | To understand the universe mathematics is essential [Galileo] |
6250 | We say God is good if we think everything he does aims at the happiness of his creatures [Hutcheson] |
6249 | If goodness is constituted by God's will, it is a tautology to say God's will is good [Hutcheson] |