51 ideas
| 18877 | Moral realism doesn't seem to entail the existence of any things [Cameron] |
| 18868 | Surely if some propositions are grounded in existence, they all are? [Cameron] |
| 18928 | If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron] |
| 18867 | Orthodox Truthmaker applies to all propositions, and necessitates their truth [Cameron] |
| 18873 | God fixes all the truths of the world by fixing what exists [Cameron] |
| 15395 | Give up objects necessitating truths, and say their natures cause the truths? [Cameron] |
| 18931 | Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron] |
| 18879 | What the proposition says may not be its truthmaker [Cameron] |
| 18880 | Rather than what exists, some claim that the truthmakers are ways of existence, dispositions, modalities etc [Cameron] |
| 18874 | Truthmaking doesn't require realism, because we can be anti-realist about truthmakers [Cameron] |
| 18932 | The facts about the existence of truthmakers can't have a further explanation [Cameron] |
| 15394 | Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron] |
| 18869 | Without truthmakers, negative truths must be ungrounded [Cameron] |
| 18923 | The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron] |
| 18926 | One temporal distibution property grounds our present and past truths [Cameron] |
| 18929 | We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron] |
| 18871 | I support the correspondence theory because I believe in truthmakers [Cameron] |
| 18870 | Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron] |
| 13520 | A 'tautology' must include connectives [Wolf,RS] |
| 13524 | Deduction Theorem: T∪{P}|-Q, then T|-(P→Q), which justifies Conditional Proof [Wolf,RS] |
| 13522 | Universal Generalization: If we prove P(x) with no special assumptions, we can conclude ∀xP(x) [Wolf,RS] |
| 13521 | Universal Specification: ∀xP(x) implies P(t). True for all? Then true for an instance [Wolf,RS] |
| 13523 | Existential Generalization (or 'proof by example'): if we can say P(t), then we can say something is P [Wolf,RS] |
| 15102 | S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron] |
| 13529 | Empty Set: ∃x∀y ¬(y∈x). The unique empty set exists [Wolf,RS] |
| 13526 | Comprehension Axiom: if a collection is clearly specified, it is a set [Wolf,RS] |
| 13534 | In first-order logic syntactic and semantic consequence (|- and |=) nicely coincide [Wolf,RS] |
| 13535 | First-order logic is weakly complete (valid sentences are provable); we can't prove every sentence or its negation [Wolf,RS] |
| 13531 | Model theory reveals the structures of mathematics [Wolf,RS] |
| 13532 | Model theory 'structures' have a 'universe', some 'relations', some 'functions', and some 'constants' [Wolf,RS] |
| 13519 | Model theory uses sets to show that mathematical deduction fits mathematical truth [Wolf,RS] |
| 13533 | First-order model theory rests on completeness, compactness, and the Löwenheim-Skolem-Tarski theorem [Wolf,RS] |
| 13537 | An 'isomorphism' is a bijection that preserves all structural components [Wolf,RS] |
| 13539 | The LST Theorem is a serious limitation of first-order logic [Wolf,RS] |
| 13538 | If a theory is complete, only a more powerful language can strengthen it [Wolf,RS] |
| 13525 | Most deductive logic (unlike ordinary reasoning) is 'monotonic' - we don't retract after new givens [Wolf,RS] |
| 13530 | An ordinal is an equivalence class of well-orderings, or a transitive set whose members are transitive [Wolf,RS] |
| 13518 | Modern mathematics has unified all of its objects within set theory [Wolf,RS] |
| 18881 | For realists it is analytic that truths are grounded in the world [Cameron] |
| 18875 | Realism says a discourse is true or false, and some of it is true [Cameron] |
| 18878 | Realism says truths rest on mind-independent reality; truthmaking theories are about which features [Cameron] |
| 18924 | Being polka-dotted is a 'spatial distribution' property [Cameron] |
| 15401 | Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron] |
| 15393 | An object's intrinsic properties are had in virtue of how it is, independently [Cameron] |
| 15396 | Most criteria for identity over time seem to leave two later objects identical to the earlier one [Cameron] |
| 18930 | Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron] |
| 15103 | Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron] |
| 18872 | We should reject distinct but indiscernible worlds [Cameron] |
| 20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |
| 15104 | The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron] |
| 18927 | Surely if things extend over time, then time itself must be extended? [Cameron] |