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. |
3789 | The more reasons that compel me, the freer I am [Descartes] |
Full Idea: I move the more freely towards an object in proportion to the number of reasons which compel me. | |
From: René Descartes (Letter to Mersenne [1642]) |
19068 | Causation interests us because we want to explain change [Mumford] |
Full Idea: Like Aristotle, the reason we are really interested in causation is because we want to be able to explain change. | |
From: Stephen Mumford (Contemporary Efficient Causation: Aristotelian themes [2014], 8) | |
A reaction: This pinpoints a very important and simple idea. It raises the question (among others) of whether we have just invented this thing called 'causation', because no explanation of change was visible. Hume certainly couldn't see any explanation. |