Combining Texts

All the ideas for 'works', 'Treatise on Quantity' and 'On the Foundations of Logic and Arithmetic'

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4 ideas

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]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity is the quantified parts of a thing, plus location and coordination [Olivi]