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Ideas for 'Thinking About Mathematics', 'The Logic of What Might Have Been' and 'The Nature of Mathematics'

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2. Reason / B. Laws of Thought / 3. Non-Contradiction

14787	Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
	Full Idea: It is an anacoluthon to say that a proposition is impossible because it is self-contradictory. It rather is thought so to appear self-contradictory because the ideal induction has shown it to be impossible.
	From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)