Combining Texts

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

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4 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
     Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
     From: Epictetus (fragments/reports [c.57], 15)
     A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).
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.
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]
     Full Idea: The difference between analytic and synthetic judgements is an unimportant fluid one. 'Ice melts' is analytic if it is already taken up into the concept of ice, and synthetic if not yet taken up. It is just a different state of the formation of concepts.
     From: Friedrich Schleiermacher (Dialektik [1833], p.563), quoted by Andrew Bowie - Introduction to German Philosophy 8 'Scientific'
     A reaction: [compressed] I wonder if Quine ever encountered this quotation. The idea refers to Kant's notion of analyticity, and makes the good point that predicates only become 'contained in the subject' once the situation is very familiar.