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Ideas for 'Parmenides', 'Foundations of Geometry' and 'Frege philosophy of mathematics'

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4 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

9820	In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

10053

Geometrical axioms imply the propositions, but the former may not be true [Russell]

5. Theory of Logic / L. Paradox / 3. Antinomies

13986

Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]

14150

Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]