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Higher values and non-Archimedean additivity

Carlson, Erik LU (2007) In Theoria 73. p.3-27
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Archimedean property, additivity, higher values, extensive measurement, non-standard representations
in
Theoria
volume
73
pages
3 - 27
publisher
Thales
external identifiers
  • wos:000255709600002
  • scopus:77949398239
ISSN
0040-5825
DOI
10.1111/j.1755-2567.2007.tb01185.x
language
English
LU publication?
yes
id
b99e3ce2-b97a-439e-a841-bb7df457f94f (old id 1406833)
date added to LUP
2009-06-04 09:40:00
date last changed
2017-01-01 07:28:04
@article{b99e3ce2-b97a-439e-a841-bb7df457f94f,
  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.},
  author       = {Carlson, Erik},
  issn         = {0040-5825},
  keyword      = {Archimedean property,additivity,higher values,extensive measurement,non-standard representations},
  language     = {eng},
  pages        = {3--27},
  publisher    = {Thales},
  series       = {Theoria},
  title        = {Higher values and non-Archimedean additivity},
  url          = {http://dx.doi.org/10.1111/j.1755-2567.2007.tb01185.x},
  volume       = {73},
  year         = {2007},
}