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A supplement to Herbrand

Published online by Cambridge University Press:  12 March 2014

Burton Dreben  and
John Denton
Burton Dreben
Affiliation:
Harvard University McGill University
John Denton
Affiliation:
Harvard University McGill University
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Extract

In [5] it was shown that to complete Herbrand's argument for his Fundamental Theorem (see [6]) a weak analyzing function for certain applications of the rules of passage is needed. The following theorem describes such a function. (We use the terminology and notation of [5] except that, for each schema S and each p ≧ 1, we shall write D(S,p) rather than DSp for the domain of order p generated by S. In addition, we shall say that an element of D(S, p) is of order k, 1 ≦ k ≦ p, if it belongs to D(S, k) but not to D(S,k—1).)

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 31 , Issue 3 , 02 September 1966 , pp. 393 - 398
Copyright
Copyright © Association for Symbolic Logic 1996

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References

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