Combining Texts

All the ideas for 'fragments/reports', 'Probability and Logic of Rational Belief' and 'Wang's Paradox'

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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.
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
To say reality itself is vague is not properly intelligible [Dummett]
     Full Idea: The notion that things might actually be vague, as well as being vaguely described, is not properly intelligible.
     From: Michael Dummett (Wang's Paradox [1970], p.260)
     A reaction: It seems hard to disagree with this. It seems crazy that a pile of grain, or the hair on someone's head, are vague, and even quantum indeterminacies are not very well described as 'vague'. Vagueness is a very human concept.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?