Publikation: Human-Effective Computability
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2019
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Antonutti Marfori, Marianna
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Philosophia Mathematica. Oxford University Press (OUP). 2019, 27(1), pp. 61-87. ISSN 0031-8019. eISSN 1744-6406. Available under: doi: 10.1093/philmat/nky011
Zusammenfassung
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.
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ANTONUTTI MARFORI, Marianna, Leon HORSTEN, 2019. Human-Effective Computability. In: Philosophia Mathematica. Oxford University Press (OUP). 2019, 27(1), pp. 61-87. ISSN 0031-8019. eISSN 1744-6406. Available under: doi: 10.1093/philmat/nky011BibTex
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year={2019},
doi={10.1093/philmat/nky011},
title={Human-Effective Computability},
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journal={Philosophia Mathematica},
pages={61--87},
author={Antonutti Marfori, Marianna and Horsten, Leon}
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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