Click here to download the slides.

## Valuation rings: A better algebraic treatment of Boolean algebras

This is Chapter 11 in my book: Ellerman, David. 1995. Intellectual Trespassing as a Way of Life: Essays in Philosophy, Economics, and Mathematics. Lanham MD: Rowman & Littlefield.

## Talk: New Foundations for Information Theory

These are the slides for a number of talks on logical information theory as providing new foundations for information theory.

## Gian-Carlo Rota’s Probability Course: The Guidi Notes

This is a copy of the Guidi Notes for Gian-Carlo Rota’s Probability course at MIT the last time Rota gave the course. A copy of the Rota-Baclawski text used as course material can also be downloaded here.

## Gian-Carlo Rota’s Combinatorial Theory Course: The Guidi Notes

This is a copy of the Guidi Notes for Gian-Carlo Rota’s famous Combinatorial Theory course at MIT taken the last time Rota taught the course.

## Ellerman-Rota Mathematics Paper

This was my only math paper co-authored with Gian-Carlo Rota who in many respects was my mentor in mathematics. It reduced my Erdos number from infinity to 3.

## The implication operation on partitions

Partitions and equivalence relations In a 2001 commemorative volume for my mathematical mentor, Gian-Carlo Rota, three of his associates noted that “the only operations on the family of equivalence relations fully studied, understood and deployed are the binary join and meet operations.” This note defines the apparently new operation of implication for partitions, an operation […]