20 ideas
7910 | Pursue truth with the urgency of someone whose clothes are on fire [Ashvaghosha] |
13838 | A decent modern definition should always imply a semantics [Hacking] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking] |
13834 | Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking] |
13835 | Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking] |
8250 | So-called 'free logic' operates without existence assumptions [Meinong, by George/Van Evra] |
13845 | The various logics are abstractions made from terms like 'if...then' in English [Hacking] |
13840 | First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking] |
13844 | A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking] |
13842 | Second-order completeness seems to need intensional entities and possible worlds [Hacking] |
13837 | With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking] |
13839 | Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
8719 | There can be impossible and contradictory objects, if they can have properties [Meinong, by Friend] |
8971 | There are objects of which it is true that there are no such objects [Meinong] |
8718 | Meinong says an object need not exist, but must only have properties [Meinong, by Friend] |
7756 | Meinong said all objects of thought (even self-contradictions) have some sort of being [Meinong, by Lycan] |
15781 | The objects of knowledge are far more numerous than objects which exist [Meinong] |
7909 | The Eightfold Path concerns morality, wisdom, and tranquillity [Ashvaghosha] |
7908 | At the end of a saint, he is not located in space, but just ceases to be disturbed [Ashvaghosha] |