Categories for the Working Philosopher - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Categories for the Working Philosopher write by Elaine M. Landry. This book was released on 2017. Categories for the Working Philosopher available in PDF, EPUB and Kindle. 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
Diagrammatic Immanence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diagrammatic Immanence write by Rocco Gangle. This book was released on 2016-08-18. Diagrammatic Immanence available in PDF, EPUB and Kindle. 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
From a Geometrical Point of View - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From a Geometrical Point of View write by Jean-Pierre Marquis. This book was released on 2008-11-20. From a Geometrical Point of View available in PDF, EPUB and Kindle. 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.
Conceptual Mathematics
Conceptual Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Conceptual Mathematics write by F. William Lawvere. This book was released on 2009-07-30. Conceptual Mathematics available in PDF, EPUB and Kindle. This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.
Categories, Types, and Structures
Categories, Types, and Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Categories, Types, and Structures write by Andrea Asperti. This book was released on 1991. Categories, Types, and Structures available in PDF, EPUB and Kindle. 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.
