Human-effective computability

Marianna Antonutti Marfori; Leon F M Horsten

doi:10.1093/philmat/nky011

Human-effective computability

Marianna Antonutti Marfori, Leon F M Horsten

Department of Philosophy

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Abstract

We analyse Kreisel’s notion of human-effective computability. Like Kreisel, we relate this notion to a concept of informal provability, but we disagree with Kreisel about the precise way in which this is best done. The resulting two different ways of analysing human-effective computability give rise to two different variants of Church’s thesis. These are both investigated by relating them to transfinite progressions of formal theories in the sense of Feferman.

Original language	English
Article number	nky011
Pages (from-to)	61-87
Number of pages	27
Journal	Philosophia Mathematica
Volume	27
Issue number	1
Early online date	24 Jun 2018
DOIs	https://doi.org/10.1093/philmat/nky011
Publication status	Published - 15 Feb 2019

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Human-effective computability

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