Combining Texts

Ideas for 'Parmenides', 'The Nature of Mathematics' and 'Regressive Method for Premises in Mathematics'

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6 ideas

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

14783

Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17629

Which premises are ultimate varies with context [Russell]

17630

The sources of a proof are the reasons why we believe its conclusion [Russell]

17640

Finding the axioms may be the only route to some new results [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]