22 ideas
18365 | If truths are just identical with facts, then truths will make themselves true [David] |
18362 | Examples show that truth-making is just non-symmetric, not asymmetric [David] |
18360 | It is assumed that a proposition is necessarily true if its truth-maker exists [David] |
18358 | Two different propositions can have the same fact as truth-maker [David] |
18355 | What matters is truth-making (not truth-makers) [David] |
18354 | Correspondence is symmetric, while truth-making is taken to be asymmetric [David] |
18356 | Correspondence is an over-ambitious attempt to explain truth-making [David] |
18363 | Correspondence theorists see facts as the only truth-makers [David] |
18364 | Correspondence theory likes ideal languages, that reveal the structure of propositions [David] |
18357 | What makes a disjunction true is simpler than the disjunctive fact it names [David] |
18359 | One proposition can be made true by many different facts [David] |
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] |
18361 | A reflexive relation entails that the relation can't be asymmetric [David] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |