28 ideas
8092 | Logic was merely a branch of rhetoric until the scientific 17th century [Devlin] |
6675 | The heart has its reasons of which reason knows nothing [Pascal] |
8081 | 'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors' [Devlin] |
8085 | Modern propositional inference replaces Aristotle's 19 syllogisms with modus ponens [Devlin] |
8086 | Predicate logic retains the axioms of propositional logic [Devlin] |
8091 | Situation theory is logic that takes account of context [Devlin] |
8087 | Golden ages: 1900-1960 for pure logic, and 1950-1985 for applied logic [Devlin] |
8089 | Montague's intensional logic incorporated the notion of meaning [Devlin] |
8082 | Where a conditional is purely formal, an implication implies a link between premise and conclusion [Devlin] |
8072 | Sentences of apparent identical form can have different contextual meanings [Devlin] |
8075 | Space and time are atomic in the arrow, and divisible in the tortoise [Devlin] |
22011 | The first principles of truth are not rational, but are known by the heart [Pascal] |
8088 | People still say the Hopi have no time concepts, despite Whorf's later denial [Devlin] |
17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
8073 | How do we parse 'time flies like an arrow' and 'fruit flies like an apple'? [Devlin] |
8076 | The distinction between sentences and abstract propositions is crucial in logic [Devlin] |
6681 | We only want to know things so that we can talk about them [Pascal] |
6676 | Painting makes us admire things of which we do not admire the originals [Pascal] |
6680 | It is a funny sort of justice whose limits are marked by a river [Pascal] |
6677 | Imagination creates beauty, justice and happiness, which is the supreme good [Pascal] |
6678 | We live for the past or future, and so are never happy in the present [Pascal] |
20732 | If man considers himself as lost and imprisoned in the universe, he will be terrified [Pascal] |
6682 | Majority opinion is visible and authoritative, although not very clever [Pascal] |
6679 | It is not good to be too free [Pascal] |
7455 | Pascal knows you can't force belief, but you can make it much more probable [Pascal, by Hacking] |
7457 | Pascal is right, but relies on the unsupported claim of a half as the chance of God's existence [Hacking on Pascal] |
7456 | The libertine would lose a life of enjoyable sin if he chose the cloisters [Hacking on Pascal] |
6684 | If you win the wager on God's existence you win everything, if you lose you lose nothing [Pascal] |