Categories For The Working Philosopher

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Categories for the Working Philosopher

Elaine M. Landry
Categories for the Working Philosopher Book PDF

Author : Elaine M. Landry
Publisher : Oxford University Press
Page : 486 pages
File Size : 54,8 Mb
Release : 2017
Category : Mathematics
ISBN : 9780198748991

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Categories for the Working Philosopher by Elaine M. Landry Pdf

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.

Categories for the Working Philosopher

Elaine Landry
Categories for the Working Philosopher Book PDF

Author : Elaine Landry
Publisher : Oxford University Press
Page : 432 pages
File Size : 47,9 Mb
Release : 2017-11-17
Category : Philosophy
ISBN : 9780191065828

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Categories for the Working Philosopher by Elaine Landry Pdf

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 Mathematician

Saunders Mac Lane
Categories for the Working Mathematician Book PDF

Author : Saunders Mac Lane
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 48,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475747218

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Categories for the Working Mathematician by Saunders Mac Lane Pdf

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.

A Social Theory of Freedom

Mariam Thalos
A Social Theory of Freedom Book PDF

Author : Mariam Thalos
Publisher : Routledge
Page : 278 pages
File Size : 43,7 Mb
Release : 2016-03-17
Category : Philosophy
ISBN : 9781317394952

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A Social Theory of Freedom by Mariam Thalos Pdf

In A Social Theory of Freedom, Mariam Thalos argues that the theory of human freedom should be a broadly social and political theory, rather than a theory that places itself in opposition to the issue of determinism. Thalos rejects the premise that a theory of freedom is fundamentally a theory of the metaphysics of constraint and, instead, lays out a political conception of freedom that is closely aligned with questions of social identity, self-development in contexts of intimate relationships, and social solidarity. Thalos argues that whether a person is free (in any context) depends upon a certain relationship of fit between that agent’s conception of themselves (both present and future), on the one hand, and the facts of their circumstances, on the other. Since relationships of fit are broadly logical, freedom is a logic—it is the logic of fit between one’s aspirations and one’s circumstances, what Thalos calls the logic of agency. The logic of agency, once fleshed out, becomes a broadly social and political theory that encompasses one’s self-conceptions as well as how these self-conceptions are generated, together with how they fit with the circumstances of one’s life. The theory of freedom proposed in this volume is fundamentally a political one.

Principia Mathematica

Alfred North Whitehead,Bertrand Russell
Principia Mathematica Book PDF

Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 45,9 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

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Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

A Degree in a Book: Philosophy

Peter Gibson
A Degree in a Book Philosophy Book PDF

Author : Peter Gibson
Publisher : Arcturus Publishing
Page : 291 pages
File Size : 51,5 Mb
Release : 2018-12-12
Category : Philosophy
ISBN : 9781789504316

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A Degree in a Book: Philosophy by Peter Gibson Pdf

A perfect introduction for students and laypeople alike, A Degree in a Book: Philosophy provides you with all the concepts you need to understand the fundamental issues. Filled with helpful diagrams, suggestions for further reading, and easily digestible features on the history of philosophy, this book makes learning the subject easier than ever. Including ideas from Aristotle and Zeno to Descartes and Wittgenstein, it covers the whole range of western thought. By the time you finish reading this book, you will be able to answer questions like: • What is truth? • What can I really know? • How can I live a moral life? • Do I have free will?

Beyond Spacetime

Nick Huggett,Keizo Matsubara,Christian Wüthrich
Beyond Spacetime Book PDF

Author : Nick Huggett,Keizo Matsubara,Christian Wüthrich
Publisher : Cambridge University Press
Page : 371 pages
File Size : 55,7 Mb
Release : 2020-05-14
Category : Philosophy
ISBN : 9781108477024

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Beyond Spacetime by Nick Huggett,Keizo Matsubara,Christian Wüthrich Pdf

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.

Aristotle's Theory of Bodies

Christian Pfeiffer
Aristotle s Theory of Bodies Book PDF

Author : Christian Pfeiffer
Publisher : Oxford University Press
Page : 240 pages
File Size : 44,6 Mb
Release : 2018-07-12
Category : Philosophy
ISBN : 9780191085307

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Aristotle's Theory of Bodies by Christian Pfeiffer Pdf

Christian Pfeiffer explores an important, but neglected topic in Aristotle's theoretical philosophy: the theory of bodies. A body is a three-dimensionally extended and continuous magnitude bounded by surfaces. This notion is distinct from the notion of a perceptible or physical substance. Substances have bodies, that is to say, they are extended, their parts are continuous with each other and they have boundaries, which demarcate them from their surroundings. Pfeiffer argues that body, thus understood, has a pivotal role in Aristotle's natural philosophy. A theory of body is a presupposed in, e.g., Aristotle's account of the infinite, place, or action and passion, because their being bodies explains why things have a location or how they can act upon each other. The notion of body can be ranked among the central concepts for natural science which are discussed in Physics III-IV. The book is the first comprehensive and rigorous account of the features substances have in virtue of being bodies. It provides an analysis of the concept of three-dimensional magnitude and related notions like boundary, extension, contact, continuity, often comparing it to modern conceptions of it. Both the structural features and the ontological status of body is discussed. This makes it significant for scholars working on contemporary metaphysics and mereology because the concept of a material object is intimately tied to its spatial or topological properties.

The Routledge Companion to Philosophy of Physics

Eleanor Knox,Alastair Wilson
The Routledge Companion to Philosophy of Physics Book PDF

Author : Eleanor Knox,Alastair Wilson
Publisher : Routledge
Page : 787 pages
File Size : 48,9 Mb
Release : 2021-09-28
Category : Philosophy
ISBN : 9781317227144

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The Routledge Companion to Philosophy of Physics by Eleanor Knox,Alastair Wilson Pdf

The Routledge Companion to Philosophy of Physics is a comprehensive and authoritative guide to the state of the art in the philosophy of physics. It comprisess 54 self-contained chapters written by leading philosophers of physics at both senior and junior levels, making it the most thorough and detailed volume of its type on the market – nearly every major perspective in the field is represented. The Companion’s 54 chapters are organized into 12 parts. The first seven parts cover all of the major physical theories investigated by philosophers of physics today, and the last five explore key themes that unite the study of these theories. I. Newtonian Mechanics II. Special Relativity III. General Relativity IV. Non-Relativistic Quantum Theory V. Quantum Field Theory VI. Quantum Gravity VII. Statistical Mechanics and Thermodynamics VIII. Explanation IX. Intertheoretic Relations X. Symmetries XI. Metaphysics XII. Cosmology The difficulty level of the chapters has been carefully pitched so as to offer both accessible summaries for those new to philosophy of physics and standard reference points for active researchers on the front lines. An introductory chapter by the editors maps out the field, and each part also begins with a short summary that places the individual chapters in context. The volume will be indispensable to any serious student or scholar of philosophy of physics.

Categories We Live by

Ásta
Categories We Live by Book PDF

Author : Ásta
Publisher : Oxford University Press
Page : 161 pages
File Size : 55,9 Mb
Release : 2018
Category : Philosophy
ISBN : 9780190256791

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Categories We Live by by Ásta Pdf

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.

Introduction to Mathematical Philosophy

Bertrand Russell
Introduction to Mathematical Philosophy Book PDF

Author : Bertrand Russell
Publisher : Courier Corporation
Page : 230 pages
File Size : 53,9 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0486277240

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Introduction to Mathematical Philosophy by Bertrand Russell Pdf

In the words of Bertrand Russell, "Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy." That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy. In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

The Philosopher's Toolkit

Julian Baggini,Peter S. Fosl
The Philosopher s Toolkit Book PDF

Author : Julian Baggini,Peter S. Fosl
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 49,6 Mb
Release : 2011-08-24
Category : Philosophy
ISBN : 9781444357479

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The Philosopher's Toolkit by Julian Baggini,Peter S. Fosl Pdf

The second edition of this popular compendium provides the necessary intellectual equipment to engage with and participate in effective philosophical argument, reading, and reflection Features significantly revised, updated and expanded entries, and an entirely new section drawn from methods in the history of philosophy This edition has a broad, pluralistic approach--appealing to readers in both continental philosophy and the history of philosophy, as well as analytic philosophy Explains difficult concepts in an easily accessible manner, and addresses the use and application of these concepts Proven useful to philosophy students at both beginning and advanced levels

Sets for Mathematics

F. William Lawvere,Robert Rosebrugh
Sets for Mathematics Book PDF

Author : F. William Lawvere,Robert Rosebrugh
Publisher : Cambridge University Press
Page : 280 pages
File Size : 40,6 Mb
Release : 2003-01-27
Category : Mathematics
ISBN : 0521010608

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Sets for Mathematics by F. William Lawvere,Robert Rosebrugh Pdf

In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.

The Philosopher's Toolkit

Peter S. Fosl,Julian Baggini
The Philosopher s Toolkit Book PDF

Author : Peter S. Fosl,Julian Baggini
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 50,7 Mb
Release : 2020-04-14
Category : Philosophy
ISBN : 9781119103233

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The Philosopher's Toolkit by Peter S. Fosl,Julian Baggini Pdf

A new edition of the bestselling guide to the study of philosophy: the ideal intellectual ‘toolkit’ for sharpening analytical skills and building philosophical acuity Whether used as a guide to basic principles or a resource for key concepts and methods, The Philosopher's Toolkit equips readers with all the intellectual ‘tools’ necessary for engaging closely with philosophical argument and developing fluency in the methods and language of philosophical inquiry. Featuring accessible explanations, practical examples, and expert guidance, this text empowers readers to understand traditional philosophical thinking and to engage with new ideas. Focuses on the practical methods and concepts necessary for philosophical inquiry Presents a versatile resource for both novice and advanced students in areas of philosophy, critical theory, and rhetoric Adopts a pluralistic approach to teaching philosophy, making this a suitable resource for many courses Delivers extensive cross-referenced entries, recommended readings, and updated online resources Covers an array of topics, from basic tools of argumentation to sophisticated philosophical principles Fully revised and updated to include new topics and entries as well as expanded recommended reading lists to encourage further study

Philosophy of Physics

Jeremy Butterfield,John Earman
Philosophy of Physics Book PDF

Author : Jeremy Butterfield,John Earman
Publisher : Elsevier
Page : 1481 pages
File Size : 40,8 Mb
Release : 2007
Category : Computers
ISBN : 9780444515605

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Philosophy of Physics by Jeremy Butterfield,John Earman Pdf

The ambition of this volume is twofold: to provide a comprehensive overview of the field and to serve as an indispensable reference work for anyone who wants to work in it. For example, any philosopher who hopes to make a contribution to the topic of the classical-quantum correspondence will have to begin by consulting Klaas Landsman's chapter. The organization of this volume, as well as the choice of topics, is based on the conviction that the important problems in the philosophy of physics arise from studying the foundations of the fundamental theories of physics. It follows that there is no sharp line to be drawn between philosophy of physics and physics itself. Some of the best work in the philosophy of physics is being done by physicists, as witnessed by the fact that several of the contributors to the volume are theoretical physicists: viz., Ellis, Emch, Harvey, Landsman, Rovelli, 't Hooft, the last of whom is a Nobel laureate. Key features - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences that have grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers