22 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] |
8784 | Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright] |
8787 | The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright] |
8788 | Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright] |
8783 | Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright] |
8786 | One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright] |
21740 | I doubt whether ethics is part of philosophy [Russell] |
21741 | 'You ought to do p' primarily has emotional content, expressing approval [Russell] |
21746 | Unlike hate, all desires can be satisfied by love [Russell] |
21747 | Goodness is a combination of love and knowledge [Russell] |
21743 | In wartime, happiness is hating the enemy, because it gives the war a purpose [Russell] |
21742 | Originally virtue was obedience, to gods, government, or custom [Russell] |
21745 | Act so as to produce harmonious rather than discordant desires [Russell] |
21744 | Legally curbing people's desires is inferior to improving their desires [Russell] |
22891 | We could be aware of time if senses briefly vibrated, extending their experience of movement [Russell, by Bardon] |