Original Paper


, Volume 78, Issue 5, pp 979-990

First online:

Ideal Negative Conceivability and the Halting Problem

  • Manolo MartínezAffiliated withDepartament de Lògica, Història i Filosofia de la Ciència C/ Montalegre, 6, Universitat de Barcelona Email author 

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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.