39 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] |
| 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] |
| 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] |
| 18869 | Without truthmakers, negative truths must be ungrounded [Cameron] |
| 18871 | I support the correspondence theory because I believe in truthmakers [Cameron] |
| 18870 | Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron] |
| 17926 | Rejecting double negation elimination undermines reductio proofs [Colyvan] |
| 17925 | Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan] |
| 17924 | Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan] |
| 17929 | Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan] |
| 17930 | Axioms are 'categorical' if all of their models are isomorphic [Colyvan] |
| 17928 | Ordinal numbers represent order relations [Colyvan] |
| 17923 | Intuitionists only accept a few safe infinities [Colyvan] |
| 17941 | Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan] |
| 17922 | Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan] |
| 17936 | Transfinite induction moves from all cases, up to the limit ordinal [Colyvan] |
| 17940 | Most mathematical proofs are using set theory, but without saying so [Colyvan] |
| 17931 | Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan] |
| 17932 | If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan] |
| 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] |
| 12732 | Some necessary truths are brute, and others derive from final causes [Leibniz] |
| 18872 | We should reject distinct but indiscernible worlds [Cameron] |
| 17943 | Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan] |
| 17939 | Mathematics can reveal structural similarities in diverse systems [Colyvan] |
| 17938 | Mathematics can show why some surprising events have to occur [Colyvan] |
| 17934 | Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan] |
| 17933 | Reductio proofs do not seem to be very explanatory [Colyvan] |
| 17935 | If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan] |
| 17942 | Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan] |
| 19438 | Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz] |
| 17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
| 19415 | Passions reside in confused perceptions [Leibniz] |
| 19439 | God produces possibilities, and thus ideas [Leibniz] |