30 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] |
| 4020 | The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C] |
| 4002 | My aim is to map the connections between our sense of self and our moral understanding [Taylor,C] |
| 4006 | I can only be aware of myself as a person who changes by means of my personal history [Taylor,C] |
| 4003 | Selfhood and moral values are inextricably intertwined [Taylor,C] |
| 20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |
| 4021 | Willingness to risk life was the constitutive quality of the man of honour [Taylor,C] |
| 4005 | To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C] |
| 4004 | Consistency presupposes intrinsic description [Taylor,C] |
| 4010 | In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C] |
| 22809 | The social contract sees society as constituted by and for individuals [Taylor,C] |
| 22811 | Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C] |
| 22815 | If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C] |
| 22814 | Our reliance on other people close to us does not imply any political obligations [Taylor,C] |
| 22812 | For most people the primacy of rights mainly concerns freedom [Taylor,C] |
| 22810 | A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C] |
| 22813 | Property is not essential for life, but it may be essential for independence [Taylor,C] |
| 23417 | If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka] |
| 4009 | Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C] |