Variations on the Liar's Paradox

Studia Logica 15 (1):237-238 (1964)
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Abstract

Line 1: The statement on line one is false. Line 2: All statements on line two are false. p and not-p Line 3: All statements on line 3 are true, or all of them are false. p and not-p Line 4: The statement on line 4 is false, or (p and not-p). Line 5: The statement on line 5 is true if and only if (p and not p). Line 6: All statements on line 6 are false. p. Line 7: All statements on line 7 are false. Not-p. Line 8: The statement on 9 is true. Line 9: The statement on line 8 is false. Line 10: The statement on line 11 is true if and only if the statement on line 12 is true. Line 11: The statement on line 10 is true and p. Line 12: The statement on line 10 is true and not-p..

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Joseph Agassi
York University

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