28 ideas
17325 | Truth-maker theory can't cope with non-causal dependence [Liggins] |
17318 | Truthmakers for existence is fine; otherwise maybe restrict it to synthetic truths? [Liggins] |
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] |
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] |
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] |
10901 | Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo] |
10894 | A sentence-set is 'satisfiable' if at least one truth-assignment makes them all 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] |
17320 | Either p is true or not-p is true, so something is true, so something exists [Liggins] |
17326 | The dependence of {Socrates} on Socrates involves a set and a philosopher, not facts [Liggins] |
17327 | Non-causal dependence is at present only dimly understood [Liggins] |
17322 | Necessities supervene on everything, but don't depend on everything [Liggins] |
17324 | 'Because' can signal an inference rather than an explanation [Liggins] |
17321 | Value, constitution and realisation are non-causal dependences that explain [Liggins] |
17323 | If explanations track dependence, then 'determinative' explanations seem to exist [Liggins] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |