Ideas from 'Difficulties of Transfinite Numbers and Types' by Bertrand Russell [1905], by Theme Structure
[found in 'Essays in Analysis' by Russell,Bertrand (ed/tr Lackey,Douglas) [George Braziller 1973,0-8076-0699-5]].
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
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21559
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We need rules for deciding which norms are predicative (unless none of them are)
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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.
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From:
Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
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A reaction:
He is referring to his 'no class' theory, which he favoured at that time.
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21558
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'Predicative' norms are those which define a class
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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'.
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From:
Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
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