University of Birmingham > Talks@bham > Midlands Logic Seminar > Processes as numbers

Processes as numbers

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If you have a question about this talk, please contact Richard.

I will give a very gentle introduction to Abraham Robinson’s “nonstandard analysis”.

An introduction to the topic (and the first 10 minutes of the talk) can be found at http://web.mat.bham.ac.uk/R.W.Kaye/abstraction/processes.html

It is my view that this is the best way to unify Gowers’ two views of “infinity” both as a number and as a process. It is also interesting from the point of view of mathematical fictionalism since most mathematicians do regard nonstandard numbers as an unnecessary “fiction”. Nonstandard universes are also useful to help visualise certain predicativity issues that we have been talking about – especially concerning the (im?)predicativity of the induction axioms.

This talk is part of the Midlands Logic Seminar series.

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