42 ideas
13252 | Some truths have true negations [Beall/Restall] |
13247 | A truthmaker is an object which entails a sentence [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] |
13245 | Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall] |
13246 | Relevant logic does not abandon classical logic [Beall/Restall] |
13254 | A doesn't imply A - that would be circular [Beall/Restall] |
13255 | Relevant logic may reject transitivity [Beall/Restall] |
13242 | It's 'relevantly' valid if all those situations make it true [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13234 | The view of logic as knowing a body of truths looks out-of-date [Beall/Restall] |
13232 | Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall] |
13241 | The model theory of classical predicate logic is mathematics [Beall/Restall] |
13253 | There are several different consequence relations [Beall/Restall] |
13240 | A sentence follows from others if they always model it [Beall/Restall] |
13236 | Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall] |
13237 | Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall] |
13244 | Relevant necessity is always true for some situation (not all situations) [Beall/Restall] |
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] |
23154 | We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell] |
23153 | Gradually loyalty to a creed increased, which could even outweigh nationality [Russell] |
23152 | Increasingly war expands communities, and unifies them through fear [Russell] |
23155 | In early societies the leaders needed cohesion, but the rest just had to obey [Russell] |
23156 | The economic and political advantages of great size seem to have no upper limit [Russell] |
23157 | Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell] |
23151 | A monarch is known to everyone in the group, and can thus unite large groups [Russell] |
23167 | Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell] |
23168 | A state is essential, to control greedy or predatory impulses [Russell] |
23163 | In an anarchy universities, research, books, and even seaside holidays, would be impossible [Russell] |
23166 | In democracy we are more aware of being governed than of our tiny share in government [Russell] |
23162 | Managers are just as remote from workers under nationalisation as under capitalism [Russell] |
23165 | Socialists say economic justice needs some state control of industries, and of foreign trade [Russell] |
23160 | Being a slave of society is hardly better than being a slave of a despot [Russell] |
23158 | Slavery began the divorce between the work and the purposes of the worker [Russell] |
23161 | Slaves can be just as equal as free people [Russell] |
23159 | Scarce goods may be denied entirely, to avoid their unequal distribution [Russell] |
23164 | Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell] |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |