Combining Texts

All the ideas for 'Mind and World', 'Explanation in Mathematics' and 'Mathematical Thought from Ancient to Modern Times'

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7 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
The logical space of reasons is a natural phenomenon, and it is the realm of freedom [McDowell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
12. Knowledge Sources / B. Perception / 3. Representation
Representation must be propositional if it can give reasons and be epistemological [McDowell, by Burge]
12. Knowledge Sources / B. Perception / 5. Interpretation
There is no pure Given, but it is cultured, rather than entirely relative [McDowell, by Macbeth]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Sense impressions already have conceptual content [McDowell]
19. Language / F. Communication / 4. Private Language
Forming concepts by abstraction from the Given is private definition, which the Private Lang. Arg. attacks [McDowell]