15 ideas
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] |
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] |
16641 | Whiteness does not exist, but by it something can exist-as-white [Aquinas] |
4304 | Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham] |
22170 | Senses grasp external properties, but the understanding grasps the essential natures of things [Aquinas] |
22169 | Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas] |
22168 | Minds take in a likeness of things, which activates an awaiting potential [Aquinas] |
4303 | The notion of substance lies at the heart of rationalist metaphysics [Cottingham] |
4306 | For rationalists, it is necessary that effects be deducible from their causes [Cottingham] |