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Category Theory in Physics, Mathematics, and Philosophy (2019)

Category Theory in Physics, Mathematics, and Philosophy

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"Category Theory in Physics, Mathematics, and Philosophy" by Marek Kuś, Bartłomiej Skowron is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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 processes.
The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations.
Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science.

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Best For: Researchers and students interested in the intersection of mathematics, physics, and philosophy.
Focus: Exploring category theory as a formal ontology emphasizing processes over objects.
Covers: The use of categorical ontology to link mathematics, physics, and philosophy, including its foundations and implications.
Why It Matters: It offers a unified framework that reinterprets entities as transformations, providing a dynamic perspective applicable across multiple scientific and philosophical domains.

"Category Theory in Physics, Mathematics, and Philosophy" by Marek Kuś, Bartłomiej Skowron is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Marek Kuś, Bartłomiej Skowron

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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 processes.
The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations.
Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science.
AuthorMarek Kuś, Bartłomiej Skowron
PublisherSpringer
Published2019-11-12
ISBN-139783030308957
BindingHardcover
Pages134
LanguageEnglish
SubjectsScience
TopicCore Mathematics
SeriesSpringer Proceedings in Physics

Format: Hardcover

Length: 134 pages

Language: English

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