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Categories for the Working Philosopher

2017 Mathematics
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Release : 2017
Genre : Mathematics
Kind : eBook
Book Rating : 99X/5 ( reviews)

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Book Synopsis Categories for the Working Philosopher by : Elaine M. Landry

Download or read book Categories for the Working Philosopher written by Elaine M. Landry. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.

Diagrammatic Immanence

2016-08-18 Philosophy
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Release : 2016-08-18
Genre : Philosophy
Kind : eBook
Book Rating : 200/5 ( reviews)

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Book Synopsis Diagrammatic Immanence by : Rocco Gangle

Download or read book Diagrammatic Immanence written by Rocco Gangle. This book was released on 2016-08-18. Available in PDF, EPUB and Kindle. Book excerpt: A renewal of immanent metaphysics through diagrammatic methods and the tools of category theorySpinoza, Peirce and Deleuze are, in different ways, philosophers of immanence. Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used both as tools and as objects of philosophical investigation. He integrates insights from Spinozist metaphysics, Peircean semiotics and Deleuzes philosophy of difference in conjunction with the formal operations of category theory. Category theory reveals deep structural connections among logic, topology and a variety of different areas of mathematics, and it provides constructive and rigorous concepts for investigating how diagrams work. Gangle introduces the methods of category theory from a philosophical and diagrammatic perspective, allowing philosophers with little or no mathematical training to come to grips with this important field. This coordination of immanent metaphysics, diagrammatic method and category theoretical mathematics opens a new horizon for contemporary thought.

From a Geometrical Point of View

2008-11-20 Science
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Release : 2008-11-20
Genre : Science
Kind : eBook
Book Rating : 845/5 ( reviews)

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Book Synopsis From a Geometrical Point of View by : Jean-Pierre Marquis

Download or read book From a Geometrical Point of View written by Jean-Pierre Marquis. This book was released on 2008-11-20. Available in PDF, EPUB and Kindle. Book excerpt: From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.

Category Theory in Physics, Mathematics, and Philosophy

2019-11-11 Science
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Release : 2019-11-11
Genre : Science
Kind : eBook
Book Rating : 960/5 ( reviews)

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Book Synopsis Category Theory in Physics, Mathematics, and Philosophy by : Marek Kuś

Download or read book Category Theory in Physics, Mathematics, and Philosophy written by Marek Kuś. This book was released on 2019-11-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Categories, Types, and Structures

1991 Computers
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Release : 1991
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Categories, Types, and Structures by : Andrea Asperti

Download or read book Categories, Types, and Structures written by Andrea Asperti. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.

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