19 ideas
8996 | If if time is money then if time is not money then time is money then if if if time is not money... [Quine] |
8995 | Definition by words is determinate but relative; fixing contexts could make it absolute [Quine] |
10688 | 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall] |
10690 | Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall] |
10691 | Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall] |
10695 | Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall] |
10689 | A step is a 'material consequence' if we need contents as well as form [Beall/Restall] |
10064 | Quine quickly dismisses If-thenism [Quine, by Musgrave] |
20296 | Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey] |
8998 | Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine] |
8999 | Logic isn't conventional, because logic is needed to infer logic from conventions [Quine] |
9000 | If a convention cannot be communicated until after its adoption, what is its role? [Quine] |
10696 | A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall] |
10693 | Models are mathematical structures which interpret the non-logical primitives [Beall/Restall] |
8994 | If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
8997 | There are four different possible conventional accounts of geometry [Quine] |
8993 | If mathematics follows from definitions, then it is conventional, and part of logic [Quine] |
20956 | Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling] |