Paul Taylor - Foundations of Mathematics and Computation

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Conferences and Seminars
Links to Related Work
About these Web pages

I am now an Honorary Senior Research Fellow in Achim Jung's Theory Group in the Computer Science Department at the University of Birmingham.

Watch this excellent 28m video by the Financial Times on YouTube about the total disaster of Brexit.

Abstract Stone Duality is a revolutionary direct axiomatisation of general topology and constructive real analysis that is inherently computable. July 2014: New draft papers about Local Compactness and Bases in various formulations of Topology and Overt Subspaces of Rn.

Practical Foundations of Mathematics relates category theory and type theory to the idioms of mathematics (Cambridge University Press, 1999, ISBN 0-521-63107-6).

Induction, recursion, replacement and the ordinals are studied categorically using well founded coalgebras.

Introduction to Algorithms and Reasonned Programming: a first year computer science course.

Commutative diagrams, proof trees and boxes and other TeX macros. My right-justified end-of-proof square is the only one that works.

Classical (Scott) and stable domain theory, also called analytic or polynomial functors, shapes, containers, or multiadjoints.

Proofs and Types by Jean-Yves Girard, which I translated, is out of print but downloadable.

Gauss's second proof of the fundamental theorem of algebra, which I translated from Latin.

Undergraduate algebra and other course notes that I wrote when I was a graduate student.