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Effects of students' mathematics learning strategy and perceived task difficulty on their achievement of mathematics. [PDF]

PLoS One
Eka WD, Tola TT, Negasi RD.
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Mathematics of General Intelligence With Homotopy Type Theory and Category Theory

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Category Theory in Physics, Mathematics, and Philosophy

Springer Proceedings in Physics, 2019
The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to
Skowron, Bartłomiej, Kuś, Marek
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Category theory and the foundations of mathematics: Philosophical excavations

SynthÈse, 1995
The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the ...
Jean-Pierre Marquis
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Mathematical Modelling by Help of Category Theory

Mathematical Engineering
Die Lösung eines jeden ingenieurtechnischen Problems beginnt mit einem Modellierungsprozess, der ein Modell bereitstellt, das ein zu betrachtendes System darstellt. Die entscheidende Frage für die praktische Verwendung von Modellen besteht darin, zu beurteilen, ob das Modell und die Ergebnisse seiner Verwendung vertrauenswürdig sind.
Dmitrii Legatiuk
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Category Theory as a Mathematics for Formalizing Ontologies

2010
Category theory is discussed as an appropriate mathematical basis for the formalization and study of ontologies. It is based upon the notion of the structure manifest in systems of compositional relations and through mappings between systems that preserve composition.
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Husserl, Intentionality and Mathematics: Geometry and Category Theory

2022
Romero Contreras Arturo
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MATHEMATICS: FROM SET THEORY TO CATEGORY THEORY

Metaphysics, 2022
The basis of mathematics is set theory, to which almost all mathematical directions go back. However, the importance of category theory for mathematics as a whole is steadily increasing. If in set theory the determining role is played by the internal structure of the object under consideration, then in category theory an object is characterized by its ...
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Category theory as an explanatory foundation [PDF]

SynthÈse
Can category theory be a foundation of mathematics? While category theory is taken to organize the body of mathematical knowledge and practice, its status as a foundational theory has been disputed.
Chanwoo Lee
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Mathematical theory on formation of category detecting nerve cells

Biological Cybernetics, 1978
The nerve cells are believed to have such ability of self-organization that, given a number of input patterns, each cell tunes itself to become responsive to only one of the patterns, or to one subset of patterns having some features in common. The detectors of patterns or pattern subsets are formed in this manner.
Amari, Shun-ichi, Takeuchi, Akikazu
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