Categories For The Working Philosopher
DOWNLOAD
Download Categories For The Working Philosopher PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Categories For The Working Philosopher book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Categories For The Working Philosopher
DOWNLOAD
Author : Elaine Landry
language : en
Publisher: Oxford University Press
Release Date : 2017-11-17
Categories For The Working Philosopher written by Elaine Landry and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Philosophy categories.
Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models. Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.
Categories For The Working Philosopher
DOWNLOAD
Author : Elaine M. Landry
language : en
Publisher: Oxford University Press
Release Date : 2017
Categories For The Working Philosopher written by Elaine M. Landry and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
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.
Categories For The Working Mathematician
DOWNLOAD
Author : Saunders Mac Lane
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-25
Categories For The Working Mathematician written by Saunders Mac Lane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-25 with Mathematics categories.
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.
Diagrammatic Immanence
DOWNLOAD
Author : Rocco Gangle
language : en
Publisher: Edinburgh University Press
Release Date : 2016-08-18
Diagrammatic Immanence written by Rocco Gangle and has been published by Edinburgh University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-18 with Philosophy categories.
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.
Category Theory In Physics Mathematics And Philosophy
DOWNLOAD
Author : Marek Kuś
language : en
Publisher: Springer Nature
Release Date : 2019-11-11
Category Theory In Physics Mathematics And Philosophy written by Marek Kuś and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-11 with Science categories.
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.
Methods In The Philosophy Of Science
DOWNLOAD
Author : Sophie J Veigl
language : en
Publisher: MIT Press
Release Date : 2025-07-15
Methods In The Philosophy Of Science written by Sophie J Veigl and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-15 with Science categories.
A guidebook to methods and methodology, encouraging deeper engagement across the philosophy of science and beyond. The last twenty years have seen multiple methodological revolutions in the philosophy of science: There has been increased diversity concerning the questions asked, who asks those questions, who the relevant audiences are, and what the techniques and tools involved are. In Methods in the Philosophy of Science: A User’s Guide, Sophie Veigl and Adrian Currie introduce this range of methods through both practical advice and philosophical reflection. Each chapter introduces the reader to a method or set of methods in the philosophy of science, discusses its advantages and limitations, and provides practical guidance on how to learn skills relevant to applying the method. The volume fulfills several critical roles. First, by introducing and discussing methods in the philosophy of science, the collection increases philosophers' awareness of methodological options—of particular importance for younger scholars who are often not exposed to the diversity of practice. Second, the collection's practical focus will aid established philosophers in diversifying their own methodological toolkits. Third, collecting this diversity serves as a ground for philosophical reflection on what we, as philosophers, take ourselves to be capable of. Fourth, the collection hopes to increase interdisciplinary links between philosophy and other fields by laying clear the methodological continuity and complement between them.
Philosophical Approaches To The Foundations Of Logic And Mathematics
DOWNLOAD
Author : Marcin Trepczyński
language : en
Publisher: BRILL
Release Date : 2021-01-25
Philosophical Approaches To The Foundations Of Logic And Mathematics written by Marcin Trepczyński and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-25 with Philosophy categories.
Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.
Mathematical Modelling By Help Of Category Theory
DOWNLOAD
Author : Dmitrii Legatiuk
language : en
Publisher: Springer Nature
Release Date : 2025-03-19
Mathematical Modelling By Help Of Category Theory written by Dmitrii Legatiuk and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-19 with Mathematics categories.
This monograph offers a novel structural perspective on the modelling of engineering problems, utilizing abstract mathematics in the form of category theory. Specifically, the book aims to enhance the understanding of mathematical modelling by developing a category theory-based framework. Category theory is employed to establish clear relationships between mathematical models and their complexities. The theory is then extended to encompass coupled mathematical models, incorporating more advanced categorical structures. To bridge theory and practice, the book presents engineering applications of the abstract categorical framework, providing various modelling examples from real-world engineering scenarios. Additionally, it introduces initial concepts for automatic model generation and error detection in modelling. The theory developed here demonstrates the practical utility of category theory, making this book a valuable resource for researchers in applied mathematics and engineering, particularly those focused on theoretical foundations of modelling.
Beyond Spacetime
DOWNLOAD
Author : Nick Huggett
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-14
Beyond Spacetime written by Nick Huggett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Philosophy categories.
A collection of essays discussing the philosophy and foundations of quantum gravity. Written by leading philosophers and physicists in the field, chapters cover the important conceptual questions in the search for a quantum theory of gravity, and the current state of understanding among philosophers and physicists.
The Logic In Philosophy Of Science
DOWNLOAD
Author : Hans Halvorson
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-11
The Logic In Philosophy Of Science written by Hans Halvorson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-11 with Philosophy categories.
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.