This is a draft paper that makes a perhaps surprising connection between the old Platonic notion of a paradigm-universal like ‘the white thing’ and an indefinite superposition state in quantum mechanics.

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

June 13, 2016 by

## Gian-Carlo Rota’s Introduction to Probability and Random Processes

December 1, 2012 by

## From Partition Logic to Information Theory

February 6, 2010 by

A new logic of partitions has been developed that is dual to ordinary logic when the latter is interpreted as the logic of subsets rather than the logic of propositions. For a finite universe, the logic of subsets gave rise to finite probability theory by assigning to each subset its relative cardinality as a Laplacian probability. The analogous development for the dual logic of partitions gives rise to a notion of logical entropy that is related in a precise manner to Claude Shannonâ€™s entropy.