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
Author(s): Mohan Ganesalingam (auth.)
Series: Lecture Notes in Computer Science 7805 : Theoretical Computer Science and General Issues
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2013
Language: English
Pages: 260
Tags: Computer Imaging, Vision, Pattern Recognition and Graphics; Computer Imaging, Vision, Pattern Recognition and Graphics; Computer Imaging, Vision, Pattern Recognition and Graphics; Mathematical Logic and Formal Languages; Language Translat
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 -
