29 ideas
6334 | The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich] |
6342 | Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich] |
6332 | The common-sense theory of correspondence has never been worked out satisfactorily [Horwich] |
6335 | The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich] |
6344 | Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich] |
6336 | No deflationary conception of truth does justice to the fact that we aim for truth [Horwich] |
23299 | Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson] |
6337 | The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich] |
10147 | The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman] |
10148 | Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman] |
10149 | Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman] |
10150 | The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman] |
10146 | Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman] |
6339 | Logical form is the aspects of meaning that determine logical entailments [Horwich] |
10158 | A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman] |
10162 | Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman] |
10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman] |
10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
10161 | If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman] |
10156 | 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman] |
10155 | Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman] |
10993 | Ramsey's Test: believe the consequent if you believe the antecedent [Ramsey, by Read] |
14279 | Asking 'If p, will q?' when p is uncertain, then first add p hypothetically to your knowledge [Ramsey] |
6894 | Mental terms can be replaced in a sentence by a variable and an existential quantifier [Ramsey] |
6338 | We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich] |
6340 | There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich] |
6341 | Right translation is a mapping of languages which preserves basic patterns of usage [Horwich] |
9418 | All knowledge needs systematizing, and the axioms would be the laws of nature [Ramsey] |
9420 | Causal laws result from the simplest axioms of a complete deductive system [Ramsey] |