Combining Texts

Ideas for 'Parmenides', 'Implications' and 'Posterior Analytics'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Demonstrations by reductio assume excluded middle [Aristotle]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Something holds universally when it is proved of an arbitrary and primitive case [Aristotle]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Everything is either asserted or denied truly [Aristotle]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz]
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]