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All the ideas for 'Mathematics without Numbers', 'Philosophy of Nature (Encylopedia II)' and 'Contextualism Defended (and reply)'

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10 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Metaphysics is the lattice which makes incoming material intelligible [Hegel]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
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]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
All revolutions result from spirit changing its categories, to achieve a deeper understanding [Hegel]