22 ideas
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] |
18779 | 'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague] |
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] |
19712 | Maybe there is plain 'animal' knowledge, and clearly justified 'reflective' knowledge [Vahid] |
19703 | Epistemic is normally marked out from moral or pragmatic justifications by its truth-goal [Vahid] |
19705 | 'Mentalist' internalism seems to miss the main point, if it might not involve an agent's access [Vahid] |
19706 | Strong access internalism needs actual awareness; weak versions need possibility of access [Vahid] |
19707 | Maybe we need access to our justification, and also to know why it justifies [Vahid] |
19709 | Internalism in epistemology over-emphasises deliberation about beliefs [Vahid] |
19704 | Externalism may imply that identical mental states might go with different justifications [Vahid] |
19710 | With a counterfactual account of the causal theory, we get knowledge as tracking or sensitive to truth [Vahid] |
19711 | Externalism makes the acquisition of knowledge too easy? [Vahid] |