Formal Systems and Recursive Functions [Book Review]

Review of Metaphysics 19 (1):161-162 (1965)
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Abstract

This is a collection of papers read at an international logic colloquium held at Oxford in 1963. The first half contains articles on intuitionistic and modal logics, the propositional calculus, and languages with infinitely long expressions by such logicians as Kripke, Bull, Harrop, and Tait. The second part is primarily concerned with recursive functions and features a monograph by Crossley on constructive order types, as well as contributions by Goodstein, Schütte, and Wang, among others. Especially noteworthy is Kripke's paper which applies Cohen's methods to the semantics of intuitionistic logic.—P. J. M.

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00346632

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Saul A. Kripke. Semantical analysis of intuitionistic logic I. Formal systems and recursive functions, Proceedings of the Eighth Logic Colloquium, Oxford, July 1963, edited by J. N. Crossley and M. A. E. Dummett, Series in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam1965, pp. 92–130. [REVIEW]G. Kreisel - 1970 - Journal of Symbolic Logic 35 (2):330-332.
W. W. Tait. Infinitely long terms of transfinite type. Formal systems and recursive functions, Proceedings of the Eighth Logic Colloquium, Oxford, July 1963, edited by J. N. Crossley and M. A. E. Dummett, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam 1965, pp. 176–185. [REVIEW]E. G. K. LóPez-Escobar - 1975 - Journal of Symbolic Logic 40 (4):623-624.
M. J. Cresswell. The logic of interrogatives. Formal systems and recursive functions, Proceedings of the Eighth Logic Colloquium, Oxford, July 1963, edited by J. N. Crossley and M. A. E. Dummett, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam 1965, pp. 8--11. [REVIEW]Gerold Stahl - 1966 - Journal of Symbolic Logic 31 (4):668.
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