Some new double induction and superinduction principles |
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Authors: | Raymond M Smullyan |
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Institution: | (1) Department of Philosophy, Indiana University, 47405 Bloomington, Indiana, USA |
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Abstract: | Some new double analogues of induction and transfinite recursion are given which yields a relatively simple proof of a result of Robert Cowen, 2] which in turn is a strengthening of an earlier result of Smullyan 1], which in turn gives a unified approach to Zorn's Lemma, the transfinite recursion theorem and certain results about ordinal numbers. |
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