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Higher Values and Non-Archimedean Additivity
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Arts, Department of Philosophy, Ethics and Social Philosophy.
2007 (English)In: Theoria, ISSN 0040-5825, E-ISSN 1755-2567, Vol. 73, no 1, 3-25 p.Article in journal (Refereed) Published
Abstract [en]

Many philosophers have claimed that extensive or additive measurement is incompatible with the existence of “higher values”, any amount of which is better than any amount of some other value. In this paper, it is shown that higher values can be incorporated in a non-standard model of extensive measurement, with values represented by sets of ordered pairs of real numbers, rather than by single reals. The suggested model is mathematically fairly simple, and it applies to structures including negative as well as positive values.

Place, publisher, year, edition, pages
2007. Vol. 73, no 1, 3-25 p.
Keyword [en]
higher values, extensive measurement, additivity, Archimedean property, non-standard representations
URN: urn:nbn:se:uu:diva-13522ISI: 000255709600002OAI: oai:DiVA.org:uu-13522DiVA: diva2:41292
Available from: 2008-01-23 Created: 2008-01-23 Last updated: 2011-01-11Bibliographically approved

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