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Remarks on an infinitary language with constructive formulas

Published online by Cambridge University Press:  12 March 2014

E. G. K. Lopez-Escobar
E. G. K. Lopez-Escobar*
Affiliation:
Massachusetts Institute of Technology
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Extract

It is well known that L, the first-order predicate calculus, is unsuitable for characterizing certain mathematical structures. Since some of those structures are quite often considered by mathematicians, extensions of L have been considered which (partially) solve the above problem. Roughly speaking, the extensions of L fall into two main categories:

(I) extensions obtained by allowing higher order variables, and

(II) extensions obtained by allowing infinitely long formulas.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 32 , Issue 3 , 09 October 1967 , pp. 305 - 318
Copyright
Copyright © Association for Symbolic Logic 1967

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