Three is a magic number

The Philosophers' Magazine 44 (44):83-88 (2009)
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Abstract

Logical theory – and philosophical theory generally – is just that, theory. Generations of logic students felt a sort of unease about it without knowing what to do about it. Nowadays, students of mathematical logic feel a similar unease when faced with the fact that in standard predicate calculus, “All unicorns are sneaky” is true precisely because there are no unicorns. Blanché’s analysis reminds us that such feelings of unease may indicate a shortcoming in the theory rather than in the student’s understanding.

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Brendan Larvor
University of Hertfordshire

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