Combining Texts

All the ideas for 'fragments/reports', 'Difficulties of Transfinite Numbers and Types' and 'Journals'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Predicative' norms are those which define a class [Russell]
     Full Idea: Norms (containing one variable) which do not define classes I propose to call 'non-predicative'; those which do define classes I shall call 'predicative'.
     From: Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
     Full Idea: We need rules for deciding what norms are predicative and what are not, unless we adopt the view (which has much to recommend it) that no norms are predicative. ...[146] A predative propositional function is one which determines a class.
     From: Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
     A reaction: He is referring to his 'no class' theory, which he favoured at that time.
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?
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Cold and hot are the swiftness and slowness of corpuscular motion [Beeckman]
     Full Idea: There is no doubt that the nature of cold and hot are taken from the swiftness and slowness of the motion of corpuscules.
     From: Isaac Beeckman (Journals [1617], I:132), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 19.6
     A reaction: This is so right it takes your breath away. For 'corpuscles' we should normally read 'molecules'. Atomism is a further refinement. This is the rejection of the orthodox view of separate qualities.