Combining Texts

All the ideas for 'The Basing Relation', 'On boundary numbers and domains of sets' and 'Mr Strawson on Referring'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell]
2. Reason / D. Definition / 11. Ostensive Definition
Empirical words need ostensive definition, which makes them egocentric [Russell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]
The basing relation of a reason to a belief should both support and explain the belief [Neta]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell]