This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004.

Silicon Valley investor Ryn Brennan is on the verge of achieving everything she dreamed. She's succeeded in the male-dominated venture capital world, has a supportive husband, and is about to close the deal of her career. Everything is going exactly as planned, until she meets Carly, her husband's mistress, across the negotiating table. Carly clawed her way back from being a teenage runaway to become an accomplished scientist, caring single mom, and co-founder of her startup. Once she marries her loving fiancé, she'll secure the complete family she craves. But she's blindsided to discover her not so perfect fiancé is already married—to Ryn, her company's biggest investor. In an industry full of not-so-subtle sexism, can the two women rise above, and work together to overcome heartbreak, and ensure their success?

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Why do people like books, music, or movies that adhere consistently to genre conventions? Why is it hard for politicians to take positions that cross ideological boundaries? Why do we have dramatically different expectations of companies that are categorized as social media platforms as opposed to news media sites? The answers to these questions require an understanding of how people use basic concepts in their everyday lives to give meaning to objects, other people, and social situations and actions. In this book, a team of sociologists presents a groundbreaking model of concepts and categorization that can guide sociological and cultural analysis of a wide variety of social situations. Drawing on research in various fields, including cognitive science, computational linguistics, and psychology, the book develops an innovative view of concepts. It argues that concepts have meanings that are probabilistic rather than sharp, occupying fuzzy, overlapping positions in a “conceptual space.” Measurements of distances in this space reveal our mental representations of categories. Using this model, important yet commonplace phenomena such as our routine buying decisions can be quantified in terms of the cognitive distance between concepts. Concepts and Categories provides an essential set of formal theoretical tools and illustrates their application using an eclectic set of methodologies, from micro-level controlled experiments to macro-level language processing. It illuminates how explicit attention to concepts and categories can give us a new understanding of everyday situations and interactions.

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.

Categorization is an essential and unavoidable instrumentality for conceptually navigating a world—indeed for being able to conceptualize a world to be navigated. Classification is a pivotal instrument for scientific systemization, featured as a basis for the philosophical understanding of reality since Aristotle, but classificatory concepts of sorts, types and natural kinds inevitably pervade our understanding of ourselves and our position in the social as well as the natural world at all levels. The authors argue that the character, purpose-, context-, and culture-relativity of categories and categorization have been widely misunderstood—that standard philosophical views are substantially correct in some respects but markedly mistaken in others. The book offers a comprehensive survey of basic principles of classification and categorization, a survey of relevant empirical work, and a multitude of illustrative examples accompanied by instructive analysis of ways and means. The work traces wide-ranging implications of the current approach for philosophical problematic and paradox in philosophy of mind, epistemology and metaphysics, philosophy of science, social philosophy and ethics.

Lessons from HubSpot, Salesforce, Gainsight and Other Iconic Brands "The Uber of this" "The Salesforce of that" "It's like Instagram, but for..." There is no such thing as an original idea anymore – right? Actually, it turns out that the world’s most innovative companies have created so much more than just brand new products and technology. They've created entirely new market categories. The challenge is that successfully building new categories requires a perfect storm of luck and timing. Or does it? Category Creation is the first and only book on the topic written by executives and marketers actively building new categories. It explains how category creation has become the Holy Grail of marketing, and more importantly, how it can be planned and orchestrated. It's not about luck. You can use the same tactics that other category-defining companies have used to delight customers, employees, and investors. There’s no better strategy that results in faster growth and higher valuations for the company on top. Author Anthony Kennada, former Chief Marketing Officer at Gainsight, explains how he led Gainsight in creating the “customer success” category, and shares success stories from fellow category-creators like Salesforce, HubSpot and others. It requires much more than just having the best product. You have to start and grow a conversation that doesn’t yet exist, positioning a newly discovered problem in addition to your company and product offerings. The book explains the 7 key principles of category creation, including the importance of creating a community of early adopters who will rally around the problem they all share—especially if someone will lead them. · Identify the “go” and “no go” signals for category creation in your business · Activate customers and influencers as brand ambassadors · Grow a community by investing in live events and experiences · Prove the impact of category creation investments on growth, customer success, and company culture Written for entrepreneurs, marketers, and executives from startups to large enterprises, Category Creation is the exclusive playbook for building a category defining brand in the modern economy.

The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ∞-category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of ∞-categories from first principles in a model-independent fashion using the axiomatic framework of an ∞-cosmos, the universe in which ∞-categories live as objects. An ∞-cosmos is a fertile setting for the formal category theory of ∞-categories, and in this way the foundational proofs in ∞-category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.

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.

General concepts and methods that occur throughout mathematics – and now also in theoretical computer science – are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further.The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach.