45 ideas
501 | Reason is a more powerful persuader than gold [Democritus (attr)] |
13838 | A decent modern definition should always imply a semantics [Hacking] |
15647 | Truth definitions don't produce a good theory, because they go beyond your current language [Halbach] |
15649 | In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach] |
15655 | Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach] |
15654 | If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach] |
15650 | Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach] |
15648 | Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach] |
15656 | Deflationists say truth merely serves to express infinite conjunctions [Halbach] |
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] |
15657 | To prove the consistency of set theory, we must go beyond set theory [Halbach] |
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] |
15652 | We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach] |
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] |
15651 | Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
514 | Beauty is merely animal without intelligence [Democritus (attr)] |
525 | Behave well when alone, and feel shame in you own eyes [Democritus (attr)] |
502 | Good breeding in men means having a good character [Democritus (attr)] |
507 | Virtuous love consists of decorous desire for the beautiful [Democritus (attr)] |
521 | We should only choose pleasures which are concerned with the beautiful [Democritus (attr)] |
505 | Good and true are the same for everyone, but pleasures differ [Democritus (attr)] |
508 | Only accept beneficial pleasures [Democritus (attr)] |
520 | The great pleasures come from the contemplation of noble works [Democritus (attr)] |
522 | Moderation brings more pleasures, and so increases pleasure [Democritus (attr)] |
506 | Immoderate desire is the mark of a child, not an adult [Democritus (attr)] |
523 | It is as brave to master pleasure as to overcome the enemy [Democritus (attr)] |
503 | Virtue doesn't just avoid evil, but also doesn't desire it [Democritus (attr)] |
518 | A bad life is just a drawn-out death [Democritus (attr)] |
497 | Be virtuous from duty, not from fear [Democritus (attr)] |
499 | Repentance of shameful deeds is salvation [Democritus (attr)] |
524 | Virtue comes more from practice than from nature [Democritus (attr)] |
519 | One must avoid even speaking of evil deeds [Democritus (attr)] |
500 | The wrongdoer is more unfortunate than the person wronged [Democritus (attr)] |
1539 | The endless desire for money is a crueller slavery than poverty [Democritus (attr)] |
526 | Small appetite makes poverty equal to wealth [Democritus (attr)] |
511 | It is better to have one intelligent friend than many unintelligent [Democritus (attr)] |
498 | It is a great thing, when one is in adversity, to think of duty [Democritus (attr)] |
1541 | It is better to be poor in a democracy than be rich without freedom [Democritus (attr)] |