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All the ideas for 'Contextualism Defended (and reply)', 'Logicism, Some Considerations (PhD)' and 'Process Metaphysics'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
An adequate account of a number must relate it to its series [Benacerraf]
7. Existence / B. Change in Existence / 2. Processes
Process philosophy insists that processes are not inferior in being to substances [Rescher]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
Our own intuitions about whether we know tend to vacillate [Cohen,S]
We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S]
The context sensitivity of knowledge derives from its justification [Cohen,S]
Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S]