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On explicating the ...
On explicating the concept the power of an arithmetical theory
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- Sjögren, Jörgen (författare)
- Gothenburg University,Göteborgs universitet,Högskolan i Skövde,Institutionen för vård och natur,Department of Philosophy/Logic, University of Göteborg, Gothenburg, Sweden,Filosofiska institutionen,Department of Philosophy
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(creator_code:org_t)
- 2008-01-05
- 2008
- Engelska.
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Ingår i: Journal of Philosophical Logic. - : Springer. - 0022-3611 .- 1573-0433. ; 37:2, s. 183-202
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- HUMANIORA -- Filosofi, etik och religion -- Filosofi (hsv//swe)
- HUMANITIES -- Philosophy, Ethics and Religion -- Philosophy (hsv//eng)
Nyckelord
- Gregory Chaitin
- explication
- measurement
- power of arithmetical theories
- Mathematical logic
- Matematisk logik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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