14 ideas
23295 | Truth cannot be reduced to anything simpler [Davidson] |
23298 | Neither Aristotle nor Tarski introduce the facts needed for a correspondence theory [Davidson] |
23297 | The language to define truth needs a finite vocabulary, to make the definition finite [Davidson] |
23296 | We can elucidate indefinable truth, but showing its relation to other concepts [Davidson] |
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] |
23294 | It is common to doubt truth when discussing it, but totally accept it when discussing knowledge [Davidson] |
1590 | The just man does not harm his enemies, but benefits everyone [Plato] |