51 ideas
13252 | Some truths have true negations [Beall/Restall] |
13247 | A truthmaker is an object which entails a sentence [Beall/Restall] |
12463 | Unlike correspondence, truthmaking can be one truth to many truthmakers, or vice versa [Jacobs] |
10688 | 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall] |
13249 | (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall] |
13243 | Excluded middle must be true for some situation, not for all situations [Beall/Restall] |
13242 | It's 'relevantly' valid if all those situations make it true [Beall/Restall] |
13246 | Relevant logic does not abandon classical logic [Beall/Restall] |
13245 | Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall] |
13254 | A doesn't imply A - that would be circular [Beall/Restall] |
13255 | Relevant logic may reject transitivity [Beall/Restall] |
13250 | Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall] |
13235 | Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall] |
13238 | Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall] |
13234 | The view of logic as knowing a body of truths looks out-of-date [Beall/Restall] |
10690 | Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall] |
13232 | Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall] |
13241 | The model theory of classical predicate logic is mathematics [Beall/Restall] |
10691 | Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall] |
13253 | There are several different consequence relations [Beall/Restall] |
13240 | A sentence follows from others if they always model it [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] |
13236 | Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall] |
10693 | Models are mathematical structures which interpret the non-logical primitives [Beall/Restall] |
13237 | Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
14375 | If structures result from intrinsic natures of properties, the 'relations' between them can drop out [Jacobs] |
14378 | Science aims at identifying the structure and nature of the powers that exist [Jacobs] |
12467 | Powers come from concrete particulars, not from the laws of nature [Jacobs] |
13244 | Relevant necessity is always true for some situation (not all situations) [Beall/Restall] |
14377 | Possibilities are manifestations of some power, and impossibilies rest on no powers [Jacobs] |
14376 | States of affairs are only possible if some substance could initiate a causal chain to get there [Jacobs] |
14379 | Counterfactuals invite us to consider the powers picked out by the antecedent [Jacobs] |
14372 | Possible worlds are just not suitable truthmakers for modality [Jacobs] |
12466 | All modality is in the properties and relations of the actual world [Jacobs] |
14371 | We can base counterfactuals on powers, not possible worlds, and hence define necessity [Jacobs] |
12465 | Concrete worlds, unlike fictions, at least offer evidence of how the actual world could be [Jacobs] |
12464 | If some book described a possibe life for you, that isn't what makes such a life possible [Jacobs] |
12469 | Possible worlds semantics gives little insight into modality [Jacobs] |
13239 | Judgement is always predicating a property of a subject [Beall/Restall] |
13248 | We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall] |
13233 | Propositions commit to content, and not to any way of spelling it out [Beall/Restall] |
20937 | The state should produce higher civilisations for all, in tune with the economic apparatus [Gramsci] |
20935 | Eventually political parties lose touch with the class they represent, which is dangerous [Gramsci] |
20936 | Caesarism emerges when two forces in society are paralysed in conflict [Gramsci] |
20941 | Totalitarian parties cut their members off from other cultural organisations [Gramsci] |
20939 | What is the function of a parliament? Does it even constitute a part of the State structure? [Gramsci] |
20938 | Liberalism's weakness is its powerful rigid bureaucracy [Gramsci] |
20940 | Perfect political equality requires economic equality [Gramsci] |