Programming Research Group Research Report RR-02-12

Entropic geometry from logic

Bob Coecke

November 2002, 14pp.

Abstract

1. A finitary probability space (= all probability measures on a fixed finite support) can be faithfully represented by a partial order equipped with a measure of content (e.g. Shannon entropy).

2. This partial order can be obtained via a purely order-theoretic systematic procedure starting from an algebra of properties. This procedure applies to any poset envisioned as an algebra of properties.


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