Ideal Negative Conceivability and the Halting Problem

Erkenntnis 78 (5):979-990 (2013)
Abstract
Our limited a priori-reasoning skills open a gap between our finding a proposition conceivable and its metaphysical possibility. A prominent strategy for closing this gap is the postulation of ideal conceivers, who suffer from no such limitations. In this paper I argue that, under many, maybe all, plausible unpackings of the notion of ideal conceiver, it is false that ideal negative conceivability entails possibility
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DOI 10.1007/s10670-012-9363-x
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Does Conceivability Entail Possibility?David J. Chalmers - 2002 - In Tamar S. Gendler & John Hawthorne (eds.), Conceivability and Possibility. Oxford University Press. pp. 145--200.
Is Conceivability a Guide to Possibility?Stephen Yablo - 1993 - Philosophy and Phenomenological Research 53 (1):1-42.
Infinite Time Turing Machines.Joel David Hamkins - 2002 - Minds and Machines 12 (4):567-604.

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