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Ideas for 'Rationality', 'On boundary numbers and domains of sets' and 'Philosophy of Mathematics'

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

9605	If a proposition is false, then its negation is true [Brown,JR]

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

9649	Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR]

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

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox

9638	Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR]