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Logic Journal of IGPL Advance Access originally published online on August 9, 2007
Logic Journal of IGPL 2007 15(4):313-320; doi:10.1093/jigpal/jzm022
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© The Author, 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Logic for Mathematical Writing

Edmund Harriss

Department of Mathematics, Imperial College London, London SW7 2AZ, UK. E-mail: edmund.harriss{at}mathematicians.org.uk

Wilfrid Hodges

School of Mathematical Sciences, Queen Mary, University of London, London E1 4NS, UK. E-mail: w.hodges{at}qmul.ac.uk


  Abstract

In the School of Mathematical Sciences at Queen Mary in the University of London we have been running a module that teaches the students to write good mathematical English. The module is for second-year undergraduates and has been running for three years. It is based on logic, but the logic—though mathematically precise—is informal and doesn't use logical symbols. Some theory of definitions is taught in order to give a structure for mathematical descriptions, and some natural deduction rules form a basis for writing mathematical arguments. Alongside this logical material, the students have weekly exercises that involve writing informal explanations of simple mathematical ideas for non-mathematicians.

Key Words: writing • mathematical exposition • logic • informal logic • definition • discharging assumptions • natural deduction • Pascal

Received for publication 20 December 2006.
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