8 citations · 44 across the 25 of their papers we have counts for
4 papers · 1 filter
What can (partition) logic contribute to information theory?
David Ellerman
Logical probability theory was developed as a quantitative measure based on Boole's logic of subsets. But information theory was developed into a mature theory by Claude Shannon wi…
The Quantum Logic of Direct-Sum Decompositions
David P. Ellerman
Since the pioneering work of Birkhoff and von Neumann, quantum logic has been interpreted as the logic of (closed) subspaces of a Hilbert space. There is a progression from the usu…
On Classical and Quantum Logical Entropy: The analysis of measurement
David Ellerman
The notion of a partition on a set is mathematically dual to the notion of a subset of a set, so there is a logic of partitions dual to Boole's logic of subsets (Boolean subset log…
The number of direct-sum decompositions of a finite vector space
David Ellerman
The theory of q-analogs develops many combinatorial formulas for finite vector spaces over a finite field with q elements--all in analogy with formulas for finite sets (which are t…