Michael Beeson's Research

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Large Solutions of the Pell Equation: Data and Conjectures

I gave this 15 minute talk at the West Coast Number Theory Conference, December 16, 2022.

Triangle Tiling

I gave this one-hour talk at the UC Santa Cruz mathematics colloquium, January 22, 2019.

Proof-checking Euclid

I gave this one-hour talk several times:

  • logic seminar in Munich (October 11, 2017)
  • logic seminar in Utrecht (October 25, 2017)
  • Institute for Cybernetics, Artificial Intelligence, and Robotics in Prague (November 2, 2017)
  • Mathematics Colloquium at the University of Cairo (November 15, 2017)
  • Colloquium of the Group on Logic, Methodology, and Philosophy of Sciences at the University of California, Berkeley (February 9, 2018)
  • Mathematics Colloquium of the University of California, Santa Cruz (February 27, 2018).

Tarskian Geometry and Ruler-and-compass constructions

I gave this one-hour talk at the Stanford Logic Seminar, April 15, 2014.

Proof and Computation in Geometry

I gave this 60-minute talk in Edinburgh, UK, September 19, 2012, at a conference on Automated Deduction in Geometry.

Logic of Ruler and Compass Constructions

I gave this fifteen-minute talk in Cambridge, England, June 19, 2012.

Foundations of Constructive Geometry

I gave this one-hour talk at the Stanford logic seminar, March 13, 2012; and essentially the same talk in Utrecht, June 11, 2012.

Triangle Tiling

I gave this ten-minute talk at the AMS meeting in Boston, January, 2012.

The Parallel Postulate in Constructive Geometry

I gave this talk at the Symposium on Constructive Geometry, Stanford, October 24, 2009. For further background see the talk on Constructive Geometry linked below.

Finiteness in Plateau's Problem

I gave this talk at the Bay Area Differential Geometry Seminar, Stanford, January 31, 2009. The last section was updated in 2015.

Mathematical Logic and Computers: some interesting examples

I gave this talk in Kobe, Japan, on August 31, 2008.

Constructive Geometry

Versions of this talk were given in Leiden, January 2007, and in the Stanford Logic Seminar, February 2007. These slides are a long version, presenting the state of the work in August, 2008. A shortened version was given in Kobe, Japan, in September, 2008.

The Meaning of Existence

I gave this talk at a meeting of the MAA in August, 2007, in San José, California, and again at the Philosophy Department Colloquium in San José in March, 2009.

The Mechanization of Mathematics

I gave this talk at a meeting of the BAMA (Bay Area Mathematics Association) in October, 2005.

Constructibility, Computability, and the Continuum.

I gave this talk at the Stanford ASL meeting, March 2005.

Implicit Typing in Lambda Logic

I gave this talk at the ESHOL workshop of the Logic Programming and Automated Reasoning (LPAR-12) meeting in Jamaica, 2005.

Automatic Derivation of the Equation of Motion of a Pendulum

I gave this talk at the Stanford Artificial Intelligence Seminar in April, 1987; and again at the UCSC math colloquium in May, 1987; but somehow never got around to publishing the work. Now the original computer program seems to be lost.