Combining Philosophers

All the ideas for Archimedes, Peter John Olivi and John McDowell

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10 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]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations do not add anything to reality, though they are real aspects of the world [Olivi]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity is the quantified parts of a thing, plus location and coordination [Olivi]
Quantity just adds union and location to the extension of parts [Olivi]
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]
27. Natural Reality / G. Biology / 5. Species
Things are limited by the species to certain modes of being [Olivi]