23 ideas
21406 | Because there is only one human reason, there can only be one true philosophy from principles [Kant] |
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
21081 | We are equipped with the a priori intuitions needed for the concept of right [Kant] |
21082 | A power-based state of nature may not be unjust, but there is no justice without competent judges [Kant] |
21089 | Monarchs have the highest power; autocrats have complete power [Kant] |
21086 | Hereditary nobility has not been earned, and probably won't be earned [Kant] |
21080 | Actions are right if the maxim respects universal mutual freedoms [Kant] |
21083 | Women have no role in politics [Kant] |
21407 | Equality is not being bound in ways you cannot bind others [Kant] |
21084 | In the contract people lose their rights, but immediately regain them, in the new commonwealth [Kant] |
21090 | If someone has largely made something, then they own it [Kant] |
21087 | Human life is pointless without justice [Kant] |
21088 | Justice asserts the death penalty for murder, from a priori laws [Kant] |
21085 | The church has a political role, by offering a supreme power over people [Kant] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |