Handbook of mathematical logic, edited by Jon Barwise with the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis, and A. S. Troelstra, Studies in logic and the foundations of mathematics, vol. 90, North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1978 (© 1977), xi + 1165 pp. - C. Smoryński. D.1. The incompleteness theorems. Pp. 821–865. - Helmut Schwichtenberg. D.2. Proof theory: some applications of cut-elimination. Pp. 867–895. - Richard Statman. D.3. Herbrand's theorem and Gentzen's notion of a direct proof. Pp. 897–912. - Solomon Feferman. D.4. Theories of finite type related to mathematical practice. Pp. 913–971. - A. S. Troelstra. D.5. Aspects of constructive mathematics. Pp. 973–1052. - Michael P. Fourman. D.6. The logic of topoi. Pp. 1053–1090. - Henk P. Barendregt. D.1. The type free lambda calculus. Pp. 1091–1132. - Jeff Paris and Leo Harrington. D.8. A mathematical incompleteness in Peano arithmetic. Pp. 1133–1142.

Abstract

Handbook of mathematical logic, edited by Jon Barwise with the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis, and A. S. Troelstra, Studies in logic and the foundations of mathematics, vol. 90, North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1978 (© 1977), xi + 1165 pp. - C. Smoryński. D.1. The incompleteness theorems. Pp. 821–865. - Helmut Schwichtenberg. D.2. Proof theory: some applications of cut-elimination. Pp. 867–895. - Richard Statman. D.3. Herbrand's theorem and Gentzen's notion of a direct proof. Pp. 897–912. - Solomon Feferman. D.4. Theories of finite type related to mathematical practice. Pp. 913–971. - A. S. Troelstra. D.5. Aspects of constructive mathematics. Pp. 973–1052. - Michael P. Fourman. D.6. The logic of topoi. Pp. 1053–1090. - Henk P. Barendregt. D.1. The type free lambda calculus. Pp. 1091–1132. - Jeff Paris and Leo Harrington. D.8. A mathematical incompleteness in Peano arithmetic. Pp. 1133–1142. - Volume 49 Issue 3