The new logic of partitions is dual to the usual Boolean logic of subsets (usually presented only in the special case of the logic of propositions) in the sense that partitions and subsets …
Entropy is a fundamental quantity in many areas of knowledge, from physics to information science to biology. Originally put forward in the nineteenth century for very practical …
D Ellerman - International Journal of Quantum Foundations, 2023 - ellerman.org
The purpose of this paper is to show that the mathematics of quantum mechanics (QM) is the vector (Hilbert) space version of the mathematics of partitions at the set level. Since …
D Ellerman - arXiv preprint arXiv:2112.01966, 2021 - arxiv.org
We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an" amount of information," but, as he pointed …
D Ellerman - arXiv preprint arXiv:2304.09644, 2023 - arxiv.org
This paper presents a newpartitional'approach to understanding or interpreting standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the …
The purpose of this paper is to show that the mathematics of quantum mechanics (QM) is the vector (Hilbert) space version of the mathematics of partitions at the set level. Since …
This paper presents a new 'partitional'approach to understanding or interpreting standard quantum mechanics (QM). The mathematical formalism of QM is significantly different from …