The Categories

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Space Time and the Categories

Author : John Anderson
Publisher : Sydney University Press
Page : 317 pages
File Size : 41,6 Mb
Release : 2007
Category : Business & Economics
ISBN : 9781920898625

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Space Time and the Categories by John Anderson Pdf

'With this scheme, John Anderson joins a very distinguished line of philosophers who have presented us with a set of categories. We have first Plato (the doctrine of Highest Kinds in his dialogue The Sophist), then Aristotle, Kant, Hegel, and Samuel Alexander.' - D. M. Armstrong, from the introduction. Space, Time and the Categories presents a unique record of personal influence and inspiration over three generations of philosophers in Australia, England and Scotland. This work is a vitally important text in the history of the development of realist philosophy in Australian universities. With an introduction by emeritus professor D.M. Armstrong whose own student notes are the basis for the text used, this book brings together three of the major figures in the history of Australian philosophy.

The Categories

Author : Aristotle
Publisher : DigiCat
Page : 48 pages
File Size : 45,8 Mb
Release : 2022-09-16
Category : Philosophy
ISBN : EAN:8596547375258

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The Categories by Aristotle Pdf

DigiCat Publishing presents to you this special edition of "The Categories" by Aristotle. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.

The Categories of Grammar

Author : Alan Huffman
Publisher : John Benjamins Publishing
Page : 394 pages
File Size : 53,5 Mb
Release : 1997-02-13
Category : Language Arts & Disciplines
ISBN : 9789027281975

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The Categories of Grammar by Alan Huffman Pdf

This book offers an analysis of the French clitic object pronouns lui and le in the radically functional Columbia school framework, contrasting this framework with sentence-based treatments of case selection. It suggests that features of the sentence such as subject and object relations, normally taken as pretheoretical categories of observation about language, are in fact part of a theory of language which does not withstand empirical testing. It shows that the correct categories are neither those of structural case nor those of lexical case, but rather, semantic ones. Traditionally, anomalies in the selection of dative and accusative case in French, such as case government, use of the dative for possession and disadvantaging, its use in the faire-causative construction, and other puzzling distributional irregularities have been used to support the idea of an autonomous, non-functional central core of syntactic phenomena in language. The present analysis proposes semantic constants for lui and le which render all their occurrences explicable in a straightforward way. The same functional perspective informs issues of cliticity and pronominalization as well. The solution offered here emerges from an innovative instrumental view of linguistic meaning, an acknowledgment that communicative output is determined only partially and indirectly by purely linguistic input, with extralinguistic knowledge and human inference bridging the gap. This approach entails identification of the pragmatic factors influencing case selection and a reevaluation of thematic-role theory, and reveals the crucial impact of discourse on the structure as well as the functioning of grammar. One remarkable feature of the study is its extensive and varied data base. The hypothesis is buttressed by hundreds of fully contextualized examples and large-scale counts drawn from modern French texts.

Kant's Transcendental Deduction of the Categories

Author : Lawrence J. Kaye
Publisher : Lexington Books
Page : 263 pages
File Size : 44,8 Mb
Release : 2015-07-22
Category : Philosophy
ISBN : 9781498508490

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Kant's Transcendental Deduction of the Categories by Lawrence J. Kaye Pdf

Kant’s Transcendental Deduction of the Categories: Unity, Representation, and Apperception is a distinctively new reading of the Transcendental Deduction of the Categories in the Critique of Pure Reason. Lawrence J. Kaye has discovered a number of previously overlooked arguments and explanations, one of the most significant being an argument that demonstrates that the use of concepts requires the necessary unity of consciousness. He also provides a detailed investigation of Kant’s account of representation in the first edition of the Transcendental Deduction of the Categories and shows how it can be understood as a unique type of functional role view. This view of representation leads to a new understanding of Kant’s blend of realism and idealism. Kant’s notion of transcendental apperception (a priori self-awareness) is also carefully explained. Kaye shows that there is an extremely tight inter-relation between the unity of consciousness, representation, and apperception that constitutes a well-supported framework, one that offers a surprisingly strong set of replies to Hume’s skeptical challenges. He applies this framework to produce a coherent and detailed explanation of the Transcendental Deduction of the Categories, offering a thorough, paragraph-by-paragraph examination of the text in both editions. This work should not only be of interest to Kant scholars, but also to any philosophers and cognitive scientists who are invested in any of the following topics: the unity and structure of consciousness, concepts, mental representation, self-awareness, and realism and idealism.

Space, Geometry, and Kant's Transcendental Deduction of the Categories

Author : Thomas C. Vinci
Publisher : Oxford University Press, USA
Page : 265 pages
File Size : 42,7 Mb
Release : 2015
Category : Philosophy
ISBN : 9780199381166

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Space, Geometry, and Kant's Transcendental Deduction of the Categories by Thomas C. Vinci Pdf

In section 20 in the B edition 'Deduction', Kant states that his purpose is achieved: to show that all intuitions in general are subject to the categories. The standard reading understands this to mean that all our representational ideas, including those originating in sense experience, are structured by categories: there are 'no judgments of perception' in the doctrine of the 'First Critique', only judgments of experience. Against this reading the book argues that while all intuitions for Kant are unified intuitions, not all are unified by the categories, thus allowing for judgments of perception.

The Categories and the Principle of Coherence

Author : A.Z. Bar-on
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400935570

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The Categories and the Principle of Coherence by A.Z. Bar-on Pdf

The general topic of this book is the theory of categories, its sources, meaning and development. The inquiry can be seen to proceed on two levels. On one, the history of the theory is traced from its alleged genesis in Aristotle, through its main subsequent stages of Kant and Hegel, up to a kind of consummation in two of its prominent twentieth century adherents, Alfred North White head and Nicolai Hartmann. Special attention has been paid to that aspect of the Hegelian conception of the categorial analysis from which the principle of coherence emerged. On the second, deeper level, however, everything starts with Whitehead's metaphysical system, the central part of which con sists of a fascinating, though highly intricate, web of categorial notions and propositions. The historical perspective becomes a means for untangling that web. I am indebted to a number of people for advice, comment and criticism of various parts of this book. My greatest thanks go to my teachers and colleagues Nathan Rotenstreich, Nathan Spiegel, Yaakov Fleischman, as well as to the late Shmuel Hugo Bergman and Pepita Haezrachi. of this book was published in 1967 by An earlier, Hebrew version the Bialik Institute of Jerusalem. I am grateful to Mr Yehoshua Perel, Mr Arnold Schwartz and to my wife Varda for their cooperation in rendering the extensively revised text of the book into readable English. I also owe great appreciation to Miss Liat Dawe for an accurate and painstaking word-processing of the text.

The Discipline of Organizing: Professional Edition

Author : Robert J. Glushko
Publisher : "O'Reilly Media, Inc."
Page : 743 pages
File Size : 42,6 Mb
Release : 2014-08-25
Category : Computers
ISBN : 9781491911716

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The Discipline of Organizing: Professional Edition by Robert J. Glushko Pdf

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.

Philoponus: On Aristotle Categories 1–5 with Philoponus: A Treatise Concerning the Whole and the Parts

Author : Riin Sirkel,Martin Tweedale,John Harris,Daniel King
Publisher : Bloomsbury Publishing
Page : 233 pages
File Size : 42,6 Mb
Release : 2014-12-18
Category : Philosophy
ISBN : 9781472584113

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Philoponus: On Aristotle Categories 1–5 with Philoponus: A Treatise Concerning the Whole and the Parts by Riin Sirkel,Martin Tweedale,John Harris,Daniel King Pdf

Philoponus' On Aristotle Categories 1-5 discusses the nature of universals, preserving the views of Philoponus' teacher Ammonius, as well as presenting a Neoplatonist interpretation of Aristotle's Categories. Philoponus treats universals as concepts in the human mind produced by abstracting a form or nature from the material individual in which it has its being. The work is important for its own philosophical discussion and for the insight it sheds on its sources. For considerable portions, On Aristotle Categories 1-5 resembles the wording of an earlier commentary which declares itself to be an anonymous record taken from the seminars of Ammonius. Unlike much of Philoponus' later writing, this commentary does not disagree with either Aristotle or Ammonius, and suggests the possibility that Philoponus either had access to this earlier record or wrote it himself. This edition explores these questions of provenance, alongside the context, meaning and implications of Philoponus' work. The English translation is accompanied by an introduction, comprehensive commentary notes, bibliography, glossary of translated terms and a subject index. The latest volume in the Ancient Commentators on Aristotle series, the edition makes this philosophical work accessible to a modern readership. Philoponus was a Christian writing in Greek in 6th century CE Alexandria, where some students of philosophy were bilingual in Syriac as well as Greek. In this Greek treatise translated from the surviving Syriac version, Philoponus discusses the logic of parts and wholes, and he illustrates the spread of the pagan and Christian philosophy of 6th century CE Greeks to other cultures, in this case to Syria. Philoponus, an expert on Aristotle's philosophy, had turned to theology and was applying his knowledge of Aristotle to disputes over the human and divine nature of Christ. Were there two natures and were they parts of a whole, as the Emperor Justinian proposed, or was there only one nature, as Philoponus claimed with the rebel minority, both human and divine? If there were two natures, were they parts like the ingredients in a chemical mixture? Philoponus attacks the idea. Such ingredients are not parts, because they each inter-penetrate the whole mixture. Moreover, he abandons his ingenious earlier attempts to support Aristotle's view of mixture by identifying ways in which such ingredients might be thought of as potentially preserved in a chemical mixture. Instead, Philoponus says that the ingredients are destroyed, unlike the human and divine in Christ. This English translation of Philoponus' treatise is the latest volume in the Ancient Commentators on Aristotle series and makes this philosophical work accessible to a modern readership. The translation in each volume is accompanied by an introduction, comprehensive commentary notes, bibliography, glossary of translated terms and a subject index.

Accessible Categories

Author : Michael Makkai,Robert Paré
Publisher : American Mathematical Soc.
Page : 176 pages
File Size : 51,7 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821851111

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Accessible Categories by Michael Makkai,Robert Paré Pdf

Intended for category theorists and logicians familiar with basic category theory, this book focuses on categorical model theory, which is concerned with the categories of models of infinitary first order theories, called accessible categories. The starting point is a characterization of accessible categories in terms of concepts familiar from Gabriel-Ulmer's theory of locally presentable categories. Most of the work centers on various constructions (such as weighted bilimits and lax colimits), which, when performed on accessible categories, yield new accessible categories. These constructions are necessarily 2-categorical in nature; the authors cover some aspects of 2-category theory, in addition to some basic model theory, and some set theory. One of the main tools used in this study is the theory of mixed sketches, which the authors specialize to give concrete results about model theory. Many examples illustrate the extent of applicability of these concepts. In particular, some applications to topos theory are given. Perhaps the book's most significant contribution is the way it sets model theory in categorical terms, opening the door for further work along these lines. Requiring a basic background in category theory, this book will provide readers with an understanding of model theory in categorical terms, familiarity with 2-categorical methods, and a useful tool for studying toposes and other categories.

The Theory of Categories

Author : F.C. Brentano
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400981898

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The Theory of Categories by F.C. Brentano Pdf

This book contains the definitive statement of Franz Brentano's views on meta physics. It is made up of essays which were dictated by Brentano during the last ten years of his life, between 1907 and 1917. These dictations were assembled and edited by Alfred Kastil and first published by the Felix Meiner Verlag in 1933 under the title Kategorienlehre. Kastil added copious notes to Brentano's text. These notes have been included, with some slight omissions, in the present edition; the bibliographical references have been brought up to date. Brentano's approach to philosophy is unfamiliar to many contemporay readers. I shall discuss below certain fundamental points which such readers are likely to find the most difficult. I believe that once these points are properly understood, then what Brentano has to say will be seen to be of first importance to philosophy. THE PRIMACY OF THE INTENTIONAL To understand Brentano's theory of being, one must realize that he appeals to what he calls inner perception for his paradigmatic uses of the word "is". For inner perception, according to Brentano, is the source of our knowledge of the nature of being, just as it is the source of our knowledge of the nature of truth and of the nature of good and evil. And what can be said about the being of things that are not apprehended in inner perception can be understood only by analogy with what we are able to say about ourselves as thinking subjects.

Political Categories

Author : Michael Marder
Publisher : Columbia University Press
Page : 187 pages
File Size : 50,6 Mb
Release : 2019-03-12
Category : Philosophy
ISBN : 9780231547987

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Political Categories by Michael Marder Pdf

Western philosophy has been dominated by the concept or the idea—the belief that there is one sovereign notion or singular principle that can make reality explicable and bring all that exists under its sway. In modern politics, this role is played by ideology. Left, right, or center, political schools of thought share a metaphysics of simplification. We internalize a dominant, largely unnoticeable framework, oblivious to complex, plural, and occasionally conflicting or mutually contradictory explanations for what is the case. In this groundbreaking work, Michael Marder proposes a new methodology for political science and philosophy, one which he terms “categorial thinking.” In contrast to the concept, no category alone can exhaust the meaning of anything: categories are so many folds, complications, respectful of multiplicity. Ranging from classical Aristotelian and Kantian philosophies to phenomenology and contemporary politics, Marder's book offers readers a theoretical toolbox for the interpretation of political phenomena, processes, institutions, and ideas. His categorial apparatus encompasses political temporality and spatiality; the revolutionary and conservative modalities of political actuality, possibility, and necessity; quantitative and qualitative approaches to the study of political reality; the meaning of political relations; and various senses of political being. Under this lens, the political appears not as a singular concept but as a family of categories, allowing room for new, plural, and often antagonistic ideas about the state, the people, sovereignty, and power.

Categories for the Working Mathematician

Author : Saunders MacLane
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 46,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781461298397

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Categories for the Working Mathematician by Saunders MacLane Pdf

Category Theory has developed rapidly. This book aims to present those ideas and methods which can now be effectively used by Mathe maticians working in a variety of other fields of Mathematical research. This occurs at several levels. On the first level, categories provide a convenient conceptual language, based on the notions of category, functor, natural transformation, contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. Next comes the fundamental idea of an adjoint pair of functors. This appears in many substantially equivalent forms: That of universal construction, that of direct and inverse limit, and that of pairs offunctors with a natural isomorphism between corresponding sets of arrows. All these forms, with their interrelations, are examined in Chapters III to V. The slogan is "Adjoint functors arise everywhere". Alternatively, the fundamental notion of category theory is that of a monoid -a set with a binary operation of multiplication which is associative and which has a unit; a category itself can be regarded as a sort of general ized monoid. Chapters VI and VII explore this notion and its generaliza tions. Its close connection to pairs of adjoint functors illuminates the ideas of universal algebra and culminates in Beck's theorem characterizing categories of algebras; on the other hand, categories with a monoidal structure (given by a tensor product) lead inter alia to the study of more convenient categories of topological spaces.

Categories for the Working Mathematician

Author : Saunders Mac Lane
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 45,5 Mb
Release : 1998-09-25
Category : Mathematics
ISBN : 0387984038

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Categories for the Working Mathematician by Saunders Mac Lane Pdf

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.

Categories for the Working Mathematician

Author : Saunders Mac Lane
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 53,8 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.

Categories for the Working Philosopher

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.