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. |
20959 | Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher] |
Full Idea: The difference between analytic and synthetic judgements is an unimportant fluid one. 'Ice melts' is analytic if it is already taken up into the concept of ice, and synthetic if not yet taken up. It is just a different state of the formation of concepts. | |
From: Friedrich Schleiermacher (Dialektik [1833], p.563), quoted by Andrew Bowie - Introduction to German Philosophy 8 'Scientific' | |
A reaction: [compressed] I wonder if Quine ever encountered this quotation. The idea refers to Kant's notion of analyticity, and makes the good point that predicates only become 'contained in the subject' once the situation is very familiar. |
7258 | The forefather of modern intuitionism is Richard Price [Price,R, by Dancy,J] |
Full Idea: The forefather of modern intuitionism is Richard Price. | |
From: report of Richard Price (works [1760]) by Jonathan Dancy - Intuitionism |