Abstract
All exact reasoning, especially mathematical reasoning, rests on the supposition that a precise statement is either true or false, and cannot be both true and false. Consequently mathematicians have in recent years been forced to give a lot of attention to certain cases in which simple and apparently flawless reasonings can be used to establish contradictory conclusions; for the situation which arises is as uncomfortable to the mathematician as it would be if he could prove that two sides of a triangle were together greater than the third side, and also prove that they were together less than it.
Paper first published in the American Philosophical Quarterly, vol. 24 [1987], pp. 357–359.
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© 1991 Springer Science+Business Media Dordrecht
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Ramsey, F.P., Rescher, N., Majer, U. (1991). The “Long” and “Short” of it or a Failure of Logic. In: Rescher, N., Majer, U. (eds) On Truth. Episteme, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3738-6_14
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DOI: https://doi.org/10.1007/978-94-011-3738-6_14
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