Combining Philosophers

All the ideas for Archimedes, Jeffrey H. Sicha and Vittorio Hsle

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6 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems

22820

Early Romantics sought a plurality of systems, in a quest for freedom [Hösle]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

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]

25. Social Practice / E. Policies / 5. Education / d. Study of history

22819

In the 18th century history came to be seen as progressive, rather than cyclical [Hösle]