3 ideas
10121 | Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal] |
Full Idea: Contradiction is not a sign of falsity, nor the lack of contradiction a sign of truth. | |
From: Blaise Pascal (works [1660]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6 | |
A reaction: [Quoted in Auden and Kronenberger's Book of Aphorisms] Presumably we would now say that contradiction is a purely formal, syntactic notion, and not a semantic one. If you hit a contradiction, something has certainly gone wrong. |
23559 | We have the concept of 'knowledge' as a label for good informants [Craig, by Fricker,M] |
Full Idea: Craig's explanation of why we have the concept of knowledge is that it arises from our fundamental need to distinguish good informants. | |
From: report of Edward Craig (Knowledge and the State of Nature [1990]) by Miranda Fricker - Epistemic Injustice 6.1 | |
A reaction: That is, why do we have the label 'knowledge', in addition to 'true belief'? This strikes me as a good explanation which had never occurred to me. Every social group needs to identify members who have some authority in knowledge of various areas of life. |
19673 | Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux] |
Full Idea: Galileo conceives of movement in mathematical terms. ...In doing so, he uncovered, beyond the variations of position and speed, the mathematical invariant of movement - that is to say, acceleration. | |
From: report of Galileo Galilei (Two Chief World Systems [1632]) by Quentin Meillassoux - After Finitude; the necessity of contingency 5 | |
A reaction: That is a very nice advert for the mathematical physics which replaced the Aristotelian substantial forms. ...And yet, is acceleration some deep fact about nature, or a concept which is only needed if you insist on being mathematical? |