25 ideas
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] |
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] |
5791 | Reduction is either by elimination, or by explanation [Searle] |
5799 | Eliminative reduction needs a gap between appearance and reality, as in sunsets [Searle] |
5790 | A property is 'emergent' if it is caused by elements of a system, when the elements lack the property [Searle] |
16668 | Modes of things exist in some way, without being full-blown substances [Gassendi] |
5792 | Explanation of how we unify our mental stimuli into a single experience is the 'binding problem' [Searle] |
5786 | A system is either conscious or it isn't, though the intensity varies a lot [Searle] |
5794 | Consciousness has a first-person ontology, which only exists from a subjective viewpoint [Searle] |
5795 | There isn't one consciousness (information-processing) which can be investigated, and another (phenomenal) which can't [Searle] |
5788 | The use of 'qualia' seems to imply that consciousness and qualia are separate [Searle] |
5789 | I now think syntax is not in the physics, but in the eye of the beholder [Searle] |
5798 | Consciousness has a first-person ontology, so it cannot be reduced without omitting something [Searle] |
5787 | There is non-event causation between mind and brain, as between a table and its solidity [Searle] |
5797 | The pattern of molecules in the sea is much more complex than the complexity of brain neurons [Searle] |
5796 | If tree rings contain information about age, then age contains information about rings [Searle] |