22 ideas
17962 | The truth-maker principle is that every truth has a sufficient truth-maker [Forrest] |
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] |
9038 | We must distinguish what the speaker denotes by a name, from what the name denotes [Evans] |
5824 | How can an expression be a name, if names can change their denotation? [Evans] |
9042 | A private intention won't give a name a denotation; the practice needs it to be made public [Evans] |
9041 | The Causal Theory of Names is wrong, since the name 'Madagascar' actually changed denotation [Evans] |
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] |
10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [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] |
5825 | Speakers intend to refer to items that are the source of their information [Evans] |
5823 | The intended referent of a name needs to be the cause of the speaker's information about it [Evans] |
9039 | If descriptions are sufficient for reference, then I must accept a false reference if the descriptions fit [Evans] |
9043 | We use expressions 'deferentially', to conform to the use of other people [Evans] |
9040 | Charity should minimize inexplicable error, rather than maximising true beliefs [Evans] |