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A Set of Independent Axioms For Positive Hölder Systems

Published online by Cambridge University Press:  14 March 2022

J. C. Falmagne
J. C. Falmagne*
Affiliation:
New York University
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Abstract

Current axiomatizations for extensive measurement postulate the existence of infinitely small objects. This assumption is neither necessary nor reasonable. This paper develops this theme and presents a more acceptable axiom system. A representation theorem is stated and proved in detail. This work improves some previous results of the author.

Type
Research Article
Information
Philosophy of Science , Volume 42 , Issue 2 , June 1975 , pp. 137 - 151
Copyright
Copyright © 1975 by the Philosophy of Science Association

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Footnotes

†

This work has been supported by a National Science Foundation grant to New York University. I also want to thank the John Guggenheim Memorial Foundation for its fellowship support during the period in which the reported work was completed, and Geoffrey Iverson and John Van Praag for their comments.

References

REFERENCES

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