Preservice Mathematics Teachers' Problem-Solving Self-Efficacy, Critical Thinking Disposition, and Mathematical Creativity Self-Efficacy: A Cross-Sectional Path Analytic Study. [PDF]
J IntellGenç M +3 more
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Cognitive near-singularity: a possibility theorem and a witness-based protocol with a corpus case study. [PDF]
Front Artif IntellWilliams AE.
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From intersubjective correspondence to the counterpart relation-motifs from Carnap's Aufbau in Lewis's counterpart theory and his philosophical methodology. [PDF]
Asian J PhilosMichels R.
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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, 1995The 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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MATHEMATICS: FROM SET THEORY TO CATEGORY THEORY
Metaphysics, 2022The 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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From Mathematics to Software Engineering: Introducing Category Theory Into the Computer Science Curriculum [PDF]
Lecture Notes in Computer Science, 2007 Category theory, with its increasing role in computer science, has proved useful in the investigation of programming languages and other theoretical aspects of software engineering. As a bridge-building exercise, we introduce the category theory course into the computer science curriculum, the purpose of which includes building a unified framework to ...
Yu-Jun Zheng, Jinyun Xue
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Category Theory as a Mathematics for Formalizing Ontologies
2010Category 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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Category Theory as an Explanatory Foundation [PDF]
SynthÈseCan 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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