13 ideas
13338 | '"It is snowing" is true if and only if it is snowing' is a partial definition of the concept of truth [Tarski] |
18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
13337 | A language: primitive terms, then definition rules, then sentences, then axioms, and finally inference rules [Tarski] |
13335 | Semantics is the concepts of connections of language to reality, such as denotation, definition and truth [Tarski] |
13336 | A language containing its own semantics is inconsistent - but we can use a second language [Tarski] |
13339 | A sentence is satisfied when we can assert the sentence when the variables are assigned [Tarski] |
13340 | Satisfaction is the easiest semantical concept to define, and the others will reduce to it [Tarski] |
13341 | Using the definition of truth, we can prove theories consistent within sound logics [Tarski] |
18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
18266 | Mathematics generalises by using variables [Coffa] |
9145 | We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor] |
18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |