47 ideas
16440 | I don't think Lewis's cost-benefit reflective equilibrium approach offers enough guidance [Stalnaker] |
16468 | Non-S5 can talk of contingent or necessary necessities [Stalnaker] |
10888 | Sets can be defined by 'enumeration', or by 'abstraction' (based on a property) [Zalabardo] |
10889 | The 'Cartesian Product' of two sets relates them by pairing every element with every element [Zalabardo] |
10890 | A 'partial ordering' is reflexive, antisymmetric and transitive [Zalabardo] |
10886 | Determinacy: an object is either in a set, or it isn't [Zalabardo] |
16449 | In modal set theory, sets only exist in a possible world if that world contains all of its members [Stalnaker] |
10887 | Specification: Determinate totals of objects always make a set [Zalabardo] |
10897 | A first-order 'sentence' is a formula with no free variables [Zalabardo] |
10893 | Γ |= φ for sentences if φ is true when all of Γ is true [Zalabardo] |
10899 | Γ |= φ if φ is true when all of Γ is true, for all structures and interpretations [Zalabardo] |
16464 | We regiment to get semantic structure, for evaluating arguments, and understanding complexities [Stalnaker] |
10896 | Propositional logic just needs ¬, and one of ∧, ∨ and → [Zalabardo] |
16465 | In 'S was F or some other than S was F', the disjuncts need S, but the whole disjunction doesn't [Stalnaker] |
10898 | The semantics shows how truth values depend on instantiations of properties and relations [Zalabardo] |
10902 | We can do semantics by looking at given propositions, or by building new ones [Zalabardo] |
10892 | We make a truth assignment to T and F, which may be true and false, but merely differ from one another [Zalabardo] |
10895 | 'Logically true' (|= φ) is true for every truth-assignment [Zalabardo] |
10900 | Logically true sentences are true in all structures [Zalabardo] |
10894 | A sentence-set is 'satisfiable' if at least one truth-assignment makes them all true [Zalabardo] |
10901 | Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo] |
10903 | A structure models a sentence if it is true in the model, and a set of sentences if they are all true in the model [Zalabardo] |
10891 | If a set is defined by induction, then proof by induction can be applied to it [Zalabardo] |
16434 | Some say what exists must do so, and nothing else could possible exist [Stalnaker] |
16439 | A nominalist view says existence is having spatio-temporal location [Stalnaker] |
16443 | Properties are modal, involving possible situations where they are exemplified [Stalnaker] |
16471 | I accept a hierarchy of properties of properties of properties [Stalnaker] |
16452 | Dispositions have modal properties, of which properties things would have counterfactually [Stalnaker] |
16467 | 'Socrates is essentially human' seems to say nothing could be Socrates if it was not human [Stalnaker] |
16453 | The bundle theory makes the identity of indiscernibles a necessity, since the thing is the properties [Stalnaker] |
16466 | Strong necessity is always true; weak necessity is cannot be false [Stalnaker] |
16438 | Necessity and possibility are fundamental, and there can be no reductive analysis of them [Stalnaker] |
16436 | Modal concepts are central to the actual world, and shouldn't need extravagant metaphysics [Stalnaker] |
16433 | Given actualism, how can there be possible individuals, other than the actual ones? [Stalnaker] |
16437 | Possible worlds are properties [Stalnaker] |
16444 | Possible worlds don't reduce modality, they regiment it to reveal its structure [Stalnaker] |
16445 | I think of worlds as cells (rather than points) in logical space [Stalnaker] |
16454 | Modal properties depend on the choice of a counterpart, which is unconstrained by metaphysics [Stalnaker] |
16450 | Anti-haecceitism says there is no more to an individual than meeting some qualitative conditions [Stalnaker] |
16474 | How can we know what we are thinking, if content depends on something we don't know? [Stalnaker] |
16461 | We still lack an agreed semantics for quantifiers in natural language [Stalnaker] |
16448 | Possible world semantics may not reduce modality, but it can explain it [Stalnaker] |
16442 | I take propositions to be truth conditions [Stalnaker] |
16447 | A theory of propositions at least needs primitive properties of consistency and of truth [Stalnaker] |
16446 | Propositions presumably don't exist if the things they refer to don't exist [Stalnaker] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |