14 ideas
10688 | 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall] |
10196 | The Axiom of Choice needs a criterion of choice [Black] |
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] |
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] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
16007 | I assume existence, rather than reasoning towards it [Kierkegaard] |
10194 | Two things can only be distinguished by a distinct property or a distinct relation [Black] |
10193 | The 'property' of self-identity is uselessly tautological [Black] |
10195 | If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black] |
16013 | Nothing necessary can come into existence, since it already 'is' [Kierkegaard] |