Elliott Mendelson (May 24, 1931 – May 7, 2020) was an American
logician. He was a professor of
mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
at
Queens College of the City University of New York, and the
Graduate Center, CUNY. He was Jr. Fellow,
Society of Fellows,
Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
, 1956–58.
Career
Mendelson earned his BA from
Columbia University
Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...
and PhD from
Cornell University
Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson W ...
.
Mendelson taught mathematics at the college level for more than 30 years, and is the author of books on
logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
,
philosophy of mathematics
Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathem ...
,
calculus
Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
Originally called infinitesimal calculus or "the ...
,
game theory
Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed ...
and
mathematical analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
.
His ''Introduction to Mathematical Logic'', first published in 1964, was reviewed by
Dirk van Dalen who noted that it included "a large variety of subjects that should be part of the education of any mathematics student with an interest in foundational matters."
[ Dirk van Dalen (1969]
Review: Introduction to Mathematical Logic
Journal of Symbolic Logic
The '' Journal of Symbolic Logic'' is a peer-reviewed mathematics journal published quarterly by Association for Symbolic Logic. It was established in 1936 and covers mathematical logic. The journal is indexed by '' Mathematical Reviews'', Zent ...
34(1): 110,1
Books
Sole author
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Co-author
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Editor
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Journal articles
* P. C. Gilmore,
Donald A. Martin & Elliott Mendelson (1975). ''Meeting of the Association for Symbolic Logic''. ''
Journal of Symbolic Logic
The '' Journal of Symbolic Logic'' is a peer-reviewed mathematics journal published quarterly by Association for Symbolic Logic. It was established in 1936 and covers mathematical logic. The journal is indexed by '' Mathematical Reviews'', Zent ...
'' 40 (2):299-304.
*
Hugues Leblanc, Elliott Mendelson &
Alex Orenstein (1984). Preface. ''
Synthese
''Synthese'' () is a monthly peer-reviewed academic journal covering the epistemology, methodology, and philosophy of science, and related issues. The name ''Synthese'' (from the Dutch for '' synthesis'') finds its origin in the intentions of its f ...
'' 60 (1).
* Elliott Mendelson (2005). Book Review: Igor Lavrov,
Larisa Maksimova, ''Problems in Set Theory, Mathematical Logic and the Theory of Algorithms'', Edited by
Giovanna Corsi, Kluwer Academic / Plenum Publishers, 2003, Us$141.00, Pp. XII + 282, , Hardbound. ''
Studia Logica'' 79 (3).
* Elliott Mendelson (2000). Critical Studies/Book Reviews. ''
Philosophia Mathematica'' 8 (3).
* Elliott Mendelson (2007).
Graham Oppy
Graham Robert Oppy (born 1960) is an Australian philosopher whose main area of research is the philosophy of religion. He is Professor of Philosophy and Associate Dean of Research at Monash University, CEO of the Australasian Association of Phi ...
. ''Philosophical Perspectives on Infinity''. ''Philosophia Mathematica'' 15 (3).
* Elliott Mendelson (1956) "Some Proofs of Independence in Axiomatic Set Theory", ''Journal of Symbolic Logic'' 21(3): 291–303.
* Elliott Mendelson (1990) "Second Thoughts About Church's Thesis and Mathematical Proofs", ''
Journal of Philosophy
''The Journal of Philosophy'' is a monthly peer-reviewed academic journal on philosophy, founded in 1904 at Columbia University. Its stated purpose is "To publish philosophical articles of current interest and encourage the interchange of ideas, es ...
'' 87(5): 225–233.
* Elliott Mendelson (1956) "The Independence of a Weak Axiom of Choice", ''Journal of Symbolic Logic'' 21(4): 350–366.
*
Sidney Morgenbesser & Elliott Mendelson (1966) "Annual Meeting of the Association for Symbolic Logic", ''Journal of Symbolic Logic'' 31(4):682-696.
Notes
American logicians
American philosophers of mathematics
20th-century American philosophers
Queens College, City University of New York faculty
2020 deaths
1931 births
Columbia College (New York) alumni
Cornell University alumni
{{US-philosopher-stub