19 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
10017 | Truth in a model is more tractable than the general notion of truth [Hodes] |
10018 | Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes] |
10478 | Since first-order languages are complete, |= and |- have the same meaning [Hodges,W] |
10015 | Higher-order logic may be unintelligible, but it isn't set theory [Hodes] |
10477 | |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W] |
10011 | Identity is a level one relation with a second-order definition [Hodes] |
10016 | When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes] |
10474 | |= should be read as 'is a model for' or 'satisfies' [Hodges,W] |
10473 | Model theory studies formal or natural language-interpretation using set-theory [Hodges,W] |
10475 | A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W] |
10481 | Models in model theory are structures, not sets of descriptions [Hodges,W] |
10027 | Mathematics is higher-order modal logic [Hodes] |
10026 | Arithmetic must allow for the possibility of only a finite total of objects [Hodes] |
10480 | First-order logic can't discriminate between one infinite cardinal and another [Hodges,W] |
10021 | It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes] |
10022 | Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes] |
10023 | Talk of mirror images is 'encoded fictions' about real facts [Hodes] |