30 ideas
| 13838 | A decent modern definition should always imply a semantics [Hacking] |
| 12442 | 'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni] |
| 12439 | Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni] |
| 12437 | Truth lets us assent to sentences we can't explicitly exhibit [Azzouni] |
| 13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking] |
| 13834 | Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking] |
| 13835 | Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking] |
| 15375 | If terms change their designations in different states, they are functions from states to objects [Fitting] |
| 15376 | Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting] |
| 15378 | Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting] |
| 15379 | Justication logics make explicit the reasons for mathematical truth in proofs [Fitting] |
| 13845 | The various logics are abstractions made from terms like 'if...then' in English [Hacking] |
| 13840 | First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking] |
| 13844 | A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking] |
| 13842 | Second-order completeness seems to need intensional entities and possible worlds [Hacking] |
| 11026 | Classical logic is deliberately extensional, in order to model mathematics [Fitting] |
| 13837 | With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking] |
| 13839 | Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking] |
| 12446 | Names function the same way, even if there is no object [Azzouni] |
| 11028 | λ-abstraction disambiguates the scope of modal operators [Fitting] |
| 13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
| 12447 | That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni] |
| 12445 | If fictional objects really don't exist, then they aren't abstract objects [Azzouni] |
| 12449 | Modern metaphysics often derives ontology from the logical forms of sentences [Azzouni] |
| 12440 | If objectual quantifiers ontologically commit, so does the metalanguage for its semantics [Azzouni] |
| 12438 | In the vernacular there is no unequivocal ontological commitment [Azzouni] |
| 12441 | We only get ontology from semantics if we have already smuggled it in [Azzouni] |
| 12448 | Things that don't exist don't have any properties [Azzouni] |
| 15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
| 12450 | The periodic table not only defines the elements, but also excludes other possible elements [Azzouni] |