24 ideas
6675 | The heart has its reasons of which reason knows nothing [Pascal] |
13913 | The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward] |
13914 | Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward] |
13915 | Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences [Engelbretsen/Sayward] |
13916 | Term logic uses expression letters and brackets, and '-' for negative terms, and '+' for compound terms [Engelbretsen/Sayward] |
13850 | In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward] |
13849 | Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward] |
10121 | Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal] |
13851 | Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward] |
13852 | Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward] |
22011 | The first principles of truth are not rational, but are known by the heart [Pascal] |
1799 | If we can't know minds, we can't know if Pyrrho was a sceptic [Theodosius, by Diog. Laertius] |
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] |