18 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] |
7557 | To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell] |
10059 | In mathematic we are ignorant of both subject-matter and truth [Russell] |
7556 | A collection is infinite if you can remove some terms without diminishing its number [Russell] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
7554 | Self-evidence is often a mere will-o'-the-wisp [Russell] |
17065 | 2: An explanation must wholly cohere internally, and with the new fact [Thagard, by Smart] |
17066 | 3: If an analogous pair explain another analogous pair, then they all cohere [Thagard, by Smart] |
17064 | 1: Coherence is a symmetrical relation between two propositions [Thagard, by Smart] |
17067 | 4: For coherence, observation reports have a degree of intrinsic acceptability [Thagard, by Smart] |
17068 | 5: Contradictory propositions incohere [Thagard, by Smart] |
17069 | 6: A proposition's acceptability depends on its coherence with a system [Thagard, by Smart] |