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Philosophia Mathematica 2000 8(3):244-258; doi:10.1093/philmat/8.3.244
© 2000 by Oxford University Press
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© Oxford University Press

Proving Church's Thesis

ROBERT BLACK*

*Department of Philosophy, University of Nottingham, Nottingham NG7 2RD, UK. Robert.Black@nottingham.ac.uk

Arguments to the effect that Church's thesis is intrinsically unprovable because proof cannot relate an informal, intuitive concept to a mathematically defined one are unconvincing, since other 'theses' of this kind have indeed been proved, and Church's thesis has been proved in one direction. However, though evidence for the truth of the thesis in the other direction is overwhelming, it does not yet amount to proof.


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