32 ideas
12463 | Unlike correspondence, truthmaking can be one truth to many truthmakers, or vice versa [Jacobs] |
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] |
10887 | Specification: Determinate totals of objects always make a set [Zalabardo] |
10897 | A first-order 'sentence' is a formula with no free variables [Zalabardo] |
10899 | Γ |= φ if φ is true when all of Γ is true, for all structures and interpretations [Zalabardo] |
10893 | Γ |= φ for sentences if φ is true when all of Γ is true [Zalabardo] |
10896 | Propositional logic just needs ¬, and one of ∧, ∨ and → [Zalabardo] |
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] |
14375 | If structures result from intrinsic natures of properties, the 'relations' between them can drop out [Jacobs] |
14378 | Science aims at identifying the structure and nature of the powers that exist [Jacobs] |
12467 | Powers come from concrete particulars, not from the laws of nature [Jacobs] |
14377 | Possibilities are manifestations of some power, and impossibilies rest on no powers [Jacobs] |
14376 | States of affairs are only possible if some substance could initiate a causal chain to get there [Jacobs] |
14379 | Counterfactuals invite us to consider the powers picked out by the antecedent [Jacobs] |
14372 | Possible worlds are just not suitable truthmakers for modality [Jacobs] |
12466 | All modality is in the properties and relations of the actual world [Jacobs] |
14371 | We can base counterfactuals on powers, not possible worlds, and hence define necessity [Jacobs] |
12465 | Concrete worlds, unlike fictions, at least offer evidence of how the actual world could be [Jacobs] |
12464 | If some book described a possibe life for you, that isn't what makes such a life possible [Jacobs] |
12469 | Possible worlds semantics gives little insight into modality [Jacobs] |
5994 | Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG] |