36 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| 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] |
| 18870 | Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron] |
| 18871 | I support the correspondence theory because I believe in truthmakers [Cameron] |
| 10859 | A set is 'well-ordered' if every subset has a first element [Clegg] |
| 10857 | Set theory made a closer study of infinity possible [Clegg] |
| 10864 | Any set can always generate a larger set - its powerset, of subsets [Clegg] |
| 10872 | Extensionality: Two sets are equal if and only if they have the same elements [Clegg] |
| 10875 | Pairing: For any two sets there exists a set to which they both belong [Clegg] |
| 10876 | Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg] |
| 10878 | Infinity: There exists a set of the empty set and the successor of each element [Clegg] |
| 10877 | Powers: All the subsets of a given set form their own new powerset [Clegg] |
| 10879 | Choice: For every set a mechanism will choose one member of any non-empty subset [Clegg] |
| 10871 | Axiom of Existence: there exists at least one set [Clegg] |
| 10874 | Specification: a condition applied to a set will always produce a new set [Clegg] |
| 10880 | Mathematics can be 'pure' (unapplied), 'real' (physically grounded); or 'applied' (just applicable) [Clegg] |
| 10860 | An ordinal number is defined by the set that comes before it [Clegg] |
| 10861 | Beyond infinity cardinals and ordinals can come apart [Clegg] |
| 10854 | Transcendental numbers can't be fitted to finite equations [Clegg] |
| 10858 | By adding an axis of imaginary numbers, we get the useful 'number plane' instead of number line [Clegg] |
| 10853 | Either lack of zero made early mathematics geometrical, or the geometrical approach made zero meaningless [Clegg] |
| 10866 | Cantor's account of infinities has the shaky foundation of irrational numbers [Clegg] |
| 10869 | The Continuum Hypothesis is independent of the axioms of set theory [Clegg] |
| 10862 | The 'continuum hypothesis' says aleph-one is the cardinality of the reals [Clegg] |
| 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] |
| 18872 | We should reject distinct but indiscernible worlds [Cameron] |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |