30 ideas
14052 | Begin philosophy when you are young, and keep going when you are old [Epicurus] |
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] |
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] |
14062 | Sooner follow mythology, than accept the 'fate' of natural philosophers [Epicurus] |
1837 | We should not refer things to irresponsible necessity, but either to fortune or to our own will [Epicurus] |
1836 | Prudence is more valuable than philosophy, because it avoids confusions of the soul [Epicurus] |
14061 | Our own choices are autonomous, and the basis for praise and blame [Epicurus] |
14054 | Fearing death is absurd, because we are not present when it occurs [Epicurus] |
14053 | It is absurd to fear the pain of death when you are not even facing it [Epicurus] |
14055 | The wisdom that produces a good life also produces a good death [Epicurus] |
14057 | All pleasures are good, but it is not always right to choose them [Epicurus] |
14058 | Pleasure is the goal, but as lack of pain and calm mind, not as depraved or greedy pleasure [Epicurus] |
1833 | Pleasure is the first good in life [Epicurus] |
14063 | Sooner a good decision going wrong, than a bad one turning out for the good [Epicurus] |
14059 | The best life is not sensuality, but rational choice and healthy opinion [Epicurus] |
1835 | True pleasure is not debauchery, but freedom from physical and mental pain [Epicurus] |
14056 | We only need pleasure when we have the pain of desire [Epicurus] |
14060 | Prudence is the greatest good, and more valuable than philosophy, because it produces virtue [Epicurus] |
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] |