Higher values and non-Archimedean additivity

Research output: Contribution to journalArticle

Abstract

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.

Details

Authors
  • Erik Carlson
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Philosophy

Keywords

  • Archimedean property, additivity, higher values, extensive measurement, non-standard representations
Original languageEnglish
Pages (from-to)3-27
JournalTheoria
Volume73
Publication statusPublished - 2007
Publication categoryResearch
Peer-reviewedYes