15 ideas
10688 | 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall] |
10152 | Set theory and logic are fairy tales, but still worth studying [Tarski] |
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] |
13169 | I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz] |
13168 | My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz] |
10151 | I am a deeply convinced nominalist [Tarski] |
13170 | The analysis of things leads to atoms of substance, which found both composition and action [Leibniz] |
13171 | Substance must necessarily involve progress and change [Leibniz] |
13167 | We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz] |