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On explicating the concept the 'power of an arithmetical theory' (Gregory Chaitin)
University of Skövde, School of Life Sciences.
2008 (English)In: Journal of Philosophical Logic, ISSN 0022-3611, E-ISSN 1573-0433, Vol. 37, no 2, 183-202 p.Article in journal (Refereed) Published
Abstract [en]

In this paper I discuss possible ways of measuring the power of arithmetical theories, and the possiblity of making an explication in Carnap’s sense of this concept. Chaitin formulates several suggestions how to construct measures, and these suggestions are reviewed together with some new and old critical arguments. I also briefly review a measure I have designed together with some shortcomings of this measure. The conclusion of the paper is that it is not possible to formulate an explication of the concept.

Place, publisher, year, edition, pages
Springer , 2008. Vol. 37, no 2, 183-202 p.
Keyword [en]
Chaitin, explication, measurement, power of arithmetical theories
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:his:diva-2753DOI: 10.1007/s10992-007-9077-8ISI: 000253572500005Scopus ID: 2-s2.0-40049102285OAI: oai:DiVA.org:his-2753DiVA: diva2:173956
Available from: 2009-02-18 Created: 2009-02-18 Last updated: 2012-11-30

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