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Self-move and Other-move: Quantum Categorical Foundations of Japanese [PDF]

Journal of Interdisciplinary Sciences, 2023
This work contributes toward the larger goal of creating a Quantum Natural Language Processing (QNLP) translation program. It contributes original diagrammatic representations of the Japanese language based on previous work on the English language ...
Ryder Dale Walton
doaj  

The Brauer category and invariant theory [PDF]

Journal of the European Mathematical Society, 2015
A category of Brauer diagrams, analogous to Turaev's tangle category, is introduced, a presentation of the category is given, and full tensor functors are constructed from this category to the category of tensor representations of the orthogonal group O (V) or the symplectic group Sp
Gustav I. Lehrer, Ruibin Zhang
openaire   +3 more sources

Category Free Category Theory and Its Philosophical Implications [PDF]

, 2016
There exists a dispute in philosophy, going back at least to Leibniz, whether is it possible to view the world as a network of relations and relations between relations with the role of objects, between which these relations hold, entirely eliminated ...
M. Heller
semanticscholar   +1 more source

An Invitation to Applied Category Theory

, 2019
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science ...
Brendan Fong, David I. Spivak
semanticscholar   +1 more source

Topological Superconductors and Category Theory [PDF]

, 2015
We give a pedagogical introduction to topologically ordered states of matter, with the aim of familiarizing the reader with their axiomatic topological quantum field theory description.
A. Bernevig, T. Neupert
semanticscholar   +1 more source

A convenient category for higher-order probability theory [PDF]

Logic in Computer Science, 2017
Higher-order probabilistic programming languages allow programmers to write sophisticated models in machine learning and statistics in a succinct and structured way, but step outside the standard measure-theoretic formalization of probability theory ...
C. Heunen, Ohad Kammar, S. Staton, Hongseok Yang   +3 more
semanticscholar   +1 more source

A critical analysis of the philosophical motivations and development of the concept of the field of rationality as a representation of the fundamental ontology of the physical reality

Zagadnienia Filozoficzne w Nauce, 2022
The unusual applicability of mathematics to the description of the physical reality still remains a major investigative task for philosophers, physicists, mathematicians and cognitive scientists.
Wojciech Grygiel
doaj  

The monoid-now: a category theoretic approach to the structure of phenomenological time-consciousness

Frontiers in Psychology, 2023
Human consciousness is characterized by constant transitions in time. On the other hand, what is consciously experienced always possesses the temporal feature of “now.” In consciousness, “now” constantly holds different contents, yet it remains “now” no ...
Shigeru Taguchi, Shigeru Taguchi, Hayato Saigo   +2 more
doaj   +1 more source

One-sided n-suspended categories [PDF]

arXiv, 2021
Let $n$ be an integer greater or equal than $3$. We give a simultaneous generalization of $(n-2)$-exact categories and $n$-angulated categories, and we call it one-sided $n$-suspended categories. One-sided $n$-angulated categories are also examples of one-sided $n$-suspended categories.
arxiv  

Mathematical Modelling by Help of Category Theory: Models and Relations between Them

Mathematics, 2021
The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role of model comparison and model choice is becoming particularly important.
Dmitrii Legatiuk
doaj   +1 more source