Full Sentential Logic

  • Evert W. Beth
Part of the Synthese Library book series (SYLI, volume 4)


The idea of a separate development of purely implicational logic seems to have originated with Alfred Tarski well before 1930; in that year a compilation of results by J. Łukasiewicz, Tarski, and a few other logicians was published. The subject was discussed later on by M. Wajsberg (1936), L. Henkin (1949), and K. Schröter (1958). The introduction of sequents, with its deduction-theoretic motivation, is due independently to G. Gentzen (1934) and to S. Jaskowski (1934); its semantic motivation seems to be original. An advancement, as compared to Gentzen’s and Jaskowski’s technique, seems to be the conception of their rules of inference as rules of reduction.


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© D. Reidel Publishing Company, Dordrecht, Holland 1962

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  • Evert W. Beth

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