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Harvey Friedman. Harvey Friedman (born 23 September 1948) [1] is an American mathematical logician at Ohio State University in Columbus, Ohio.He has worked on reverse mathematics, a project intended to derive the axioms of mathematics from the theorems considered to be necessary.
Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. [5] The field was founded by Harvey Friedman . Its defining method can be described as "going backwards from the theorems to the axioms ", in contrast to the ordinary mathematical practice of deriving ...
Her interests include discrete mathematics, mathematical logic, cognitive psychology, and mathematics education, and she has written numerous articles, publications, and textbooks. She is currently professor emerita at DePaul University , where she chaired the Department of Mathematical Sciences and was Vincent de Paul Professor in Mathematics.
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory , proof theory , set theory , and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power.
The expression "mathematical proof" is used by lay people to refer to using mathematical methods or arguing with mathematical objects, such as numbers, to demonstrate something about everyday life, or when data used in an argument is numerical. It is sometimes also used to mean a "statistical proof" (below), especially when used to argue from data.
Mendelson earned his BA from Columbia University and PhD from Cornell University. [3]Mendelson taught mathematics at the college level for more than 30 years, and is the author of books on logic, philosophy of mathematics, calculus, game theory and mathematical analysis.
Barwise, along with his former colleague at Stanford John Etchemendy, was the author of the popular logic textbook Language, Proof and Logic. Unlike the Handbook of Mathematical Logic, which was a survey of the state of the art of mathematical logic circa 1975, and of which he was the editor, this work targeted elementary logic. The text is ...
This category includes articles on basic topics related to mathematical proofs, including terminology and proof techniques. Related categories: Pages which contain only proofs (of claims made in other articles) should be placed in the subcategory Category:Article proofs.
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