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The road to two theorems of logic |
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| Authors: | William Craig |
| Institution: | (1) Department of Philosophy, University of California – Berkeley, 314 Moses Hall, Berkeley, CA 94720-2390, USA |
| Abstract: | Work on how to axiomatize the subtheories of a first-order theory in which only a proper subset of their extra-logical vocabulary is being used led to a theorem on recursive axiomatizability and to an interpolation theorem for first-order logic. There were some fortuitous events and several logicians played a helpful role. |
| Keywords: | Recursive axiomatizability Interpolation for first-order logic Robinson’ s joint consistency theorem Beth’ s definability theorem Linear reasoning and the Herbrand– Gentzen theorem |
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