Preprint

Ellerman, David (2022) Follow the Math!:The mathematics of quantum mechanics as the mathematics of set partitions linearized to (Hilbert) vector spaces. [Preprint]

Ellerman, David (2022) Introduction to Logical Entropy and Its Relationship to Shannon Entropy. [Preprint]

Ellerman, David (2021) On Abstraction in Mathematics and Indefiniteness in Quantum Mechanics. [Preprint]

Ellerman, David (2019) Quantum Mechanics over Sets: A pedagogical model with non-commutative finite probability theory as its quantum probability calculus. [Preprint]

Ellerman, David (2019) A Graph-theoretic Method to Define any Boolean Operation on Partitions. [Preprint]

Ellerman, David (2017) Logical Information Theory: New Logical Foundations for Information Theory. [Preprint]

Ellerman, David (2017) On the Labor Theory of Property: Is The Problem Distribution or Predistribution? [Preprint]

Ellerman, David (2017) The Quantum Logic of Direct-Sum Decompositions: The Dual to the Quantum Logic of Subspaces. [Preprint]

Ellerman, David (2016) Brain functors: A mathematical model of intentional perception and action. [Preprint]

Ellerman, David (2015) On Adjoint and Brain Functors (preprint from Axiomathes). [Preprint]

Ellerman, David (2014) On Property Theory. [Preprint]

Ellerman, David (2014) Partitions and Objective Indefiniteness in Quantum Mechanics. [Preprint]

Ellerman, David (2014) On Concrete Universals: A Modern Treatment using Category Theory. [Preprint]

Ellerman, David (2013) An Introduction to Logical Entropy and its Relation to Shannon Entropy. [Preprint]

Ellerman, David (2011) Why Delayed Choice Experiments do NOT imply Retrocausality. [Preprint]

Published Article or Volume

Ellerman, David (2024) A New Approach to Understanding Quantum Mechanics: Illustrated Using a Pedagogical Model over ℤ2. AppliedMath (MDPI), 4 (2). pp. 468-494.

Ellerman, David (2024) A New Approach to Understanding Quantum Mechanics: Illustrated Using a Pedagogical Model over Z2. Applied Math, 4 (2). 468-494..

Ellerman, David (2024) A New Logic, a New Information Measure, and a New Information-Based Approach to Interpreting Quantum Mechanics. Entropy, 26 (2). ISSN 1099-4300

Ellerman, David (2018) Logical Entropy: Introduction to Classical and Quantum Logical Information Theory. Entropy, 20 (9). p. 679.

Ellerman, David (2013) An Introduction to Partition Logic. Logic Journal of the IGPL.

Ellerman, David (2010) The Logic of Partitions: Introduction to the Dual of the Logic of Subsets. Review of Symbolic Logic, 3 (2). pp. 287-350.

Ellerman, David (2009) Counting Distinctions: On the Conceptual Foundations of Shannon's Information Theory. Synthese, 168 (1). pp. 119-149. ISSN 1573-0964