Combining Philosophers

All the ideas for Archimedes, Timothy Smiley and Peter John Olivi

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

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

16659

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

16672

Quantity is the quantified parts of a thing, plus location and coordination [Olivi]

16673

Quantity just adds union and location to the extension of parts [Olivi]

11. Knowledge Aims / A. Knowledge / 2. Understanding

18810

Aristotle's proofs give understanding, so it can't be otherwise, so consequence is necessary [Smiley, by Rumfitt]

27. Natural Reality / G. Biology / 5. Species

16663

Things are limited by the species to certain modes of being [Olivi]