The Language of Mathematics

The Language of Mathematics: A Linguistic and Philosophical Investigation (Lecture Notes in Computer Science / Theoretical Computer Science and General Issues)
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

Table of Contents

1 Introduction
2 The Language of Mathematics
3 Theoretical Framework
4 Ambiguity
5 Type
6 Typed Parsing
7 Foundations
8 Extensions
9 Conclusion