Combining Texts

All the ideas for 'Science and Method', 'The General Theory of Employment' and 'Probability and Logic of Rational Belief'

unexpand these ideas     |    start again     |     specify just one area for these texts


3 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox
If my ticket won't win the lottery (and it won't), no other tickets will either [Kyburg, by Pollock/Cruz]
     Full Idea: The Lottery Paradox says you should rationally conclude that your ticket will not win the lottery, and then apply the same reasoning to all the other tickets, and conclude that no ticket will win the lottery.
     From: report of Henry E. Kyburg Jr (Probability and Logic of Rational Belief [1961]) by J Pollock / J Cruz - Contemporary theories of Knowledge (2nd) §7.2.8
     A reaction: (Very compressed by me). I doubt whether this is a very deep paradox; the conclusion that I will not win is a rational assessment of likelihood, but it is not the result of strict logic.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Laissez-faire individualism doesn't work, especially in troublesome times [Keynes]
     Full Idea: It is obvious that an individualist society left to itself does not work well or even tolerably. The more troublesome the times, the worse does a laissez-faire system work.
     From: Maynard Keynes (The General Theory of Employment [1936]), quoted by Ian Dunt - How to be a Liberal 7
     A reaction: I thought I was a Communitarian, but I may be a Keynesian Liberal, committed to a safety net welfare system. I haven't quite decided yet. Political philosophy is hopeless, if the ideas actually have to be implemented. What is the criterion of 'work'?