20 ideas
| 2546 | Philosophy is a magnificent failure in its attempt to overstep the limits of our knowledge [McGinn] |
| 13838 | A decent modern definition should always imply a semantics [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] |
| 13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [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] |
| 2544 | Thoughts have a dual aspect: as they seem to introspection, and their underlying logical reality [McGinn] |
| 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] |
| 2539 | Mental modules for language, social, action, theory, space, emotion [McGinn] |
| 2545 | Free will is mental causation in action [McGinn] |
| 2543 | Brains aren't made of anything special, suggesting panpsychism [McGinn] |
| 2540 | Examining mind sees no brain; examining brain sees no mind [McGinn] |
| 2547 | There is information if there are symbols which refer, and which can combine into a truth or falsehood [McGinn] |
| 22230 | Sartre gradually realised that freedom is curtailed by the weight of situation [Sartre, by Daigle] |
| 2542 | Causation in the material world is energy-transfer, of motion, electricity or gravity [McGinn] |