23 ideas
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] |
8228 | Being is revealed at the point between waking and sleep [Anon (Cent)] |
5163 | Basic propositions refer to a single experience, are incorrigible, and conclusively verifiable [Ayer] |
8232 | Neglect your self, and feel the consciousness of each other being [Anon (Cent)] |
5167 | The argument from analogy fails, so the best account of other minds is behaviouristic [Ayer] |
5164 | A statement is meaningful if observation statements can be deduced from it [Ayer] |
5165 | Directly verifiable statements must entail at least one new observation statement [Ayer] |
5166 | The principle of verification is not an empirical hypothesis, but a definition [Ayer] |
5162 | Sentences only express propositions if they are meaningful; otherwise they are 'statements' [Ayer] |
8230 | Just as you have the impulse to do something, stop [Anon (Cent)] |
5168 | Moral approval and disapproval concerns classes of actions, rather than particular actions [Ayer] |
8234 | Bondage and liberation are relative terms, which only frighten those already terrified of the universe [Anon (Cent)] |
8227 | Feel your whole body saturated with cosmic essence [Anon (Cent)] |
8231 | Abandon attachment to body, and feel the joy of being everywhere [Anon (Cent)] |
8229 | The serenity in blue sky beyond clouds [Anon (Cent)] |
8233 | Imagine fire burning up your whole body, but not you [Anon (Cent)] |