61 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] |
15716 | If axioms and their implications have no contradictions, they pass my criterion of truth and existence [Hilbert] |
15102 | S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron] |
18844 | You would cripple mathematics if you denied Excluded Middle [Hilbert] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [Hilbert] |
12455 | The idea of an infinite totality is an illusion [Hilbert] |
12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
17697 | The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert] |
17698 | Logic already contains some arithmetic, so the two must be developed together [Hilbert] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
22293 | Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
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] |
18881 | For realists it is analytic that truths are grounded in the world [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] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
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] |