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Ramsey Sentences for Infinite Theories

Published online by Cambridge University Press:  14 March 2022

Herbert E. Hendry
Herbert E. Hendry*
Affiliation:
Michigan State University
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Extract

Ramsey's device [2], for eliminating theoretical terms from a theory assumes that the theory has only finitely many axioms. Paul Berent [1], has recently suggested a modification of Ramsey's method that is designed to cover the infinite case. But, his modified method is quite unlike Ramsey's in that it involves an ascent from the original theory to a suitable metatheory. Thus, it is perhaps of some interest to note that there is an extension of Ramsey's method that covers the infinite case and at the same time is much closer in spirit to his original suggestion.

Information

Type
Discussion
Information
Philosophy of Science , Volume 42 , Issue 1 , March 1975 , pp. 28
Copyright
Copyright © 1975 by the Philosophy of Science Association

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References

REFERENCES

Berent, P. “Theoretical Terms in Infinite Theories.” Philosophy of Science 40 (1973).CrossRefGoogle Scholar
Ramsey, F. P. The Foundations of Mathematics. Edited by Braithwaite, R. B. New York: Humanities Press, 1950. Chapter IX.Google Scholar