Combining Texts

All the ideas for 'fragments/reports', 'Notice of Fine's 'Limits of Abstraction'' and 'On the Elements of Being: I'

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5 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 / B. Properties / 13. Tropes / a. Nature of tropes

8510	'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC]

8508	A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC]

8509	A world is completely constituted by its tropes and their connections [Williams,DC]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

9141	Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]