Synthese 192 (7):2123-2138 (2015)

Authors
María Manzano
Universidad de Salamanca
Abstract
Leon Henkin (1921–2006) was not only an extraordinary logician, but also an excellent teacher, a dedicated professor and an exceptional person. The first two sections of this paper are biographical, discussing both his personal and academic life. In the last section we present three aspects of Henkin’s work. First we comment part of his work fruit of his emphasis on teaching. In a personal communication he affirms that On mathematical induction, published in 1969, was the favourite among his articles with a somewhat panoramic nature and not meant exclusively to specialists. This subject is covered in the first subsection. Needless to say that we also analyse Henkin’s better known contribution: his completeness method. His renowned results on completeness for both type theory and first order logic were part of his thesis, The Completeness of Formal Systems, presented at Princeton in 1947 under the advise of Alonzo Church. It is interesting to note that he obtained the proof of completeness for first order logic readapting the argument for the theory of types. The last subsection is devoted to philosophy. The work most directly related to philosophy is an article entitled: Some Notes on Nominalism which appeared in the Journal of Symbolic Logic in 1953. Unfortunately, we are not covering his contribution to the field of cylindric algebras. As a matter of fact, Henkin spent many years investigating algebraic structures with Alfred Tarski and Donald Monk, among others
Keywords Leon Henkin  Completeness  History of logic
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DOI 10.1007/s11229-013-0389-7
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References found in this work BETA

Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
A Formulation of the Simple Theory of Types.Alonzo Church - 1940 - Journal of Symbolic Logic 5 (2):56-68.
The Calculi of Lambda-Conversion.Alonzo Church - 1941 - Princeton University Press.
Principia Mathematica.Morris R. Cohen - 1912 - Philosophical Review 21 (1):87.
Cylindric Algebras.Leon Henkin - 1971 - Amsterdam: North-Holland Pub. Co..

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Review: G. Kreisel, On a Problem of Henkin's. [REVIEW]Leon Henkin - 1954 - Journal of Symbolic Logic 19 (3):219-220.

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