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Humour and Paradox Laid Bare

The Monist 88 (1):135-153 (2005)

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  1. With and without end.Peter Cave - 2007 - Philosophical Investigations 30 (2):105–126.
    Ways and words about infinity have frequently hidden a continuing paradox inspired by Zeno. The basic puzzle is the tortoise's – Mr T's – Extension Challenge, the challenge being how any extension, be it in time or space or both, moving or still, can yet be of an endless number of extensions. We identify a similarity with Mr T's Deduction Challenge, reported by Lewis Carroll, to the claim that a conclusion can be validly reached in finite steps. Rejecting common solutions (...)
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  • 'About' puzzles, muddles and first person inferences.Peter Cave - 2005 - Philosophical Investigations 29 (1):51–72.
    Often we have coarsely grained knowledge: for example, we know about how many people are present. In possessing such knowledge, we also have finer grained knowledge of what is not: there certainly is nothing like that number of people here. The combination of such knowledge types, through sorites, generates contradiction and bafflement. This paper seeks to resolve the bafflement: it rejects a Timothy Williamson proposal, introduces muddle numbers and inference gaps, and shows how the different grains of knowledge do not (...)
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