Categories For The Working Philosopher PDF Download
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| Author | : Elaine M. Landry |
| Publisher | : Oxford University Press |
| Total Pages | : 486 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 019874899X |
Download Categories for the Working Philosopher Book in PDF, ePub and Kindle
This is the first book on category theory for a broad philosophical readership. There is no other discussion of category theory comparable in its scope. It is designed to show the interest and significant of category theory for philosophers working in a range of areas, including mathematics, proof theory, computer science, ontology, physics, biology, cognition, mathematical modelling, the structure of scientific theories, and the structure of the world. Moreover, it does 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 fields, in a way that builds on the concepts already familiar to philosophers working in these areas. The book is split into two halves. The 'pure' chapters focus on the use of category theory for mathematical, foundational, and logical purposes, while the 'applied' chapters consider the use of category theory for representational purposes, investigating category theory as a framework for theories of physics and biology, for mathematical modelling more generally, and for the structure of scientific theories. Book jacket.
| Author | : Rocco Gangle |
| Publisher | : Edinburgh University Press |
| Total Pages | : 264 |
| Release | : 2016-08-18 |
| Genre | : Philosophy |
| ISBN | : 1474404200 |
Download Diagrammatic Immanence Book 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.
| Author | : Saunders Mac Lane |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 320 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475747217 |
Download Categories for the Working Mathematician Book in PDF, ePub and Kindle
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. It 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 characterised 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 new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
| Author | : Jean-Pierre Marquis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 316 |
| Release | : 2008-11-20 |
| Genre | : Science |
| ISBN | : 1402093845 |
Download From a Geometrical Point of View Book 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.
| Author | : Andrea Asperti |
| Publisher | : MIT Press (MA) |
| Total Pages | : 330 |
| Release | : 1991 |
| Genre | : Computers |
| ISBN | : |
Download Categories, Types, and Structures Book 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.
| Author | : F. William Lawvere |
| Publisher | : Cambridge University Press |
| Total Pages | : 409 |
| Release | : 2009-07-30 |
| Genre | : Mathematics |
| ISBN | : 0521894859 |
Download Conceptual Mathematics Book in PDF, ePub and Kindle
This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.
| Author | : Ásta |
| Publisher | : Oxford University Press |
| Total Pages | : 161 |
| Release | : 2018 |
| Genre | : Philosophy |
| ISBN | : 0190256796 |
Download Categories We Live by Book in PDF, ePub and Kindle
We are women, we are men. We are refugees, single mothers, people with disabilities, and queers. We belong to social categories and they frame our actions, self-understanding, and opportunities. But what are social categories? How are they created and sustained? How does one come to belong to them? Ásta approaches these questions through analytic feminist metaphysics. Her theory of social categories centers on an answer to the question: what is it for a feature of an individual to be socially meaningful? In a careful, probing investigation, she reveals how social categories are created and sustained and demonstrates their tendency to oppress through examples from current events. To this end, she offers an account of just what social construction is and how it works in a range of examples that problematize the categories of sex, gender, and race in particular. The main idea is that social categories are conferred upon people. Ásta introduces a 'conferralist' framework in order to articulate a theory of social meaning, social construction, and most importantly, of the construction of sex, gender, race, disability, and other social categories.
| Author | : Robert J. Glushko |
| Publisher | : "O'Reilly Media, Inc." |
| Total Pages | : 743 |
| Release | : 2014-08-25 |
| Genre | : Computers |
| ISBN | : 1491911719 |
Download The Discipline of Organizing: Professional Edition Book in PDF, ePub and Kindle
Note about this ebook: This ebook exploits many advanced capabilities with images, hypertext, and interactivity and is optimized for EPUB3-compliant book readers, especially Apple's iBooks and browser plugins. These features may not work on all ebook readers. We organize things. We organize information, information about things, and information about information. Organizing is a fundamental issue in many professional fields, but these fields have only limited agreement in how they approach problems of organizing and in what they seek as their solutions. The Discipline of Organizing synthesizes insights from library science, information science, computer science, cognitive science, systems analysis, business, and other disciplines to create an Organizing System for understanding organizing. This framework is robust and forward-looking, enabling effective sharing of insights and design patterns between disciplines that weren’t possible before. The Professional Edition includes new and revised content about the active resources of the "Internet of Things," and how the field of Information Architecture can be viewed as a subset of the discipline of organizing. You’ll find: 600 tagged endnotes that connect to one or more of the contributing disciplines Nearly 60 new pictures and illustrations Links to cross-references and external citations Interactive study guides to test on key points The Professional Edition is ideal for practitioners and as a primary or supplemental text for graduate courses on information organization, content and knowledge management, and digital collections. FOR INSTRUCTORS: Supplemental materials (lecture notes, assignments, exams, etc.) are available at http://disciplineoforganizing.org. FOR STUDENTS: Make sure this is the edition you want to buy. There's a newer one and maybe your instructor has adopted that one instead.
| Author | : C. Thi Nguyen |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 253 |
| Release | : 2020 |
| Genre | : Games & Activities |
| ISBN | : 0190052082 |
Download Games Book in PDF, ePub and Kindle
"Games are a unique art form. The game designer doesn't just create a world; they create who you will be in that world. They tell you what abilities to use and what goals to take on. In other words, they specify a form of agency. Games work in the medium of agency. And to play them, we take on alternate agencies and submerge ourselves in them. What can we learn about our own rationality and agency, from thinking about games? We learn that we have a considerable degree of fluidity with our agency. First, we have the capacity for a peculiar sort of motivational inversion. For some of us, winning is not the point. We take on an interest in winning temporarily, so that we can play the game. Thus, we are capable of taking on temporary and disposable ends. We can submerge ourselves in alternate agencies, letting them dominate our consciousness, and then dropping them the moment the game is over. Games are, then, a way of recording forms of agency, of encoding them in artifacts. Our games are a library of agencies. And exploring that library can help us develop our own agency and autonomy. But this technology can also be used for art. Games can sculpt our practical activity, for the sake of the beauty of our own actions. Games are part of a crucial, but overlooked category of art - the process arts. These are the arts which evoke an activity, and then ask you to appreciate your own activity. And games are a special place where we can foster beautiful experiences of our own activity. Because our struggles, in games, can be designed to fit our capacities. Games can present a harmonious world, where our abilities fit the task, and where we pursue obvious goals and act under clear values. Games are a kind of existential balm against the difficult and exhausting value clarity of the world. But this presents a special danger. Games can be a fantasy of value clarity. And when that fantasy leaks out into the world, we can be tempted to oversimplify our enduring values. Then, the pleasures of games can seduce us away from our autonomy, and reduce our agency."--
| Author | : Ahmed Alwishah |
| Publisher | : Cambridge University Press |
| Total Pages | : 277 |
| Release | : 2015-09-17 |
| Genre | : History |
| ISBN | : 1107101735 |
Download Aristotle and the Arabic Tradition Book in PDF, ePub and Kindle
Examines Aristotle's vast influence upon the medieval Arabic philosophical tradition and includes contributions from every discipline within his corpus.
