The Language of Mathematics
A Linguistic and Philosophical Investigation
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Beschreibung
The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics.
"The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers
The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers
Up-to-date results in parsing of the language of mathematics Describes an application of semantic analysis to mathematical language Contains results that can be of interest to computer scientists working in theorem proving and to linguists
Autor*in
Mohan Ganesalingam
Themen in »The Language of Mathematics«
computational linguistics foundations of mathematics mathematical language philosophy of mathematics semantics
Stimmen zu »The Language of Mathematics«
Book is based on his dissertation work, which won the Association for Logic, Language, and Information’s 2011 Beth prize. … Ganesalingam’s work is thoughtful and thought-provoking. He gives an analysis of mathematical language at a depth not previously attempted, and the results are impressive. Beyond that, in the process he achieves the difficult task of bringing new insight to some very old questions in the philosophy of mathematics. I recommend the book to anyone with an interest in those questions.” (Kira Hamman, MAA Reviews, maa.org, May, 2016)
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