The Language of Mathematics: A Linguistic and Philosophical Investigation

Description

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 Front Matter....Pages - Introduction....Pages 1-15 The Language of Mathematics....Pages 17-38 Theoretical Framework....Pages 39-85 Ambiguity....Pages 87-112 Type....Pages 113-156 Typed Parsing....Pages 157-173 Foundations....Pages 175-235 Extensions....Pages 237-247 Conclusion....Pages 249-252 Back Matter....Pages -