This volume brings together some of the world’s leading scholars of market categorization. Together, their contributions depict categorization as both a cognitive and a social process, tightly connected to actors involved, their specific acts, the entity being categorized, and the context and timing which inform these activities.

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.

This book describes the first comprehensive experimental research program on an individual who exhibits exceptional memory. Rajan Mahadevan, the subject of these investigations, won a place in the Guinness Book of Records for reciting pi to 31,811 decimal places, can learn matrices up to size 20 X 20, and can produce memory spans above 60 for digits. Utilizing the methodology and theories of modern cognitive psychology, the authors systematically investigated Rajan's memory skills. A wide range of experiments and tests were conducted with Rajan and four control subjects. These include memory span tests for digits and letters, memory for various kinds of non-numeric information, tests of working memory, learning and retention of numeric matrices, memory and visual searches of the digits of pi, and lexical decision tasks with the digits of pi. The authors describe how they came to understand the way Rajan stored and now retrieves the decimal digits of pi, how he learns and retrieves matrices, and how he encodes and retrieves digits in a memory span task. Although his strategy for memorizing and retrieving digits is unique in the literature on people with extraordinary memory, the authors show how their investigations of Rajan contribute to our understanding of memory.

First published in 1984. This book is an expansion of three lectures on schema theory given at the University of Alberta in the fall of 1983 as part of the MacEachran Memorial Lecture Series.

The essays in this volume, written by a mix of well-established and younger philosophers, bridge divides between historical and systematic approaches in philosophy as well divides between analytical, continental, and American traditions.

Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$-theory since around 1970. There is an abundance of new applications and questions of bimonoidal categories in mathematics and other sciences. The three books published by the AMS in the Mathematical Surveys and Monographs series under the general title Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory (Volume I: Symmetric Bimonoidal Categories and Monoidal Bicategories?this book, Volume II: Braided Bimonoidal Categories with Applications, and Volume III: From Categories to Structured Ring Spectra) provide a unified treatment of bimonoidal and higher ring-like categories, their connection with algebraic $K$-theory and homotopy theory, and applications to quantum groups and topological quantum computation. With ample background material, extensive coverage, detailed presentation of both well-known and new theorems, and a list of open questions, this work is a user-friendly resource for beginners and experts alike. Part 1 of this book proves in detail Laplaza's two coherence theorems and May's strictification theorem of symmetric bimonoidal categories, as well as their bimonoidal analogues. This part includes detailed corrections to several inaccurate statements and proofs found in the literature. Part 2 proves Baez's Conjecture on the existence of a bi-initial object in a 2-category of symmetric bimonoidal categories. The next main theorem states that a matrix construction, involving the matrix product and the matrix tensor product, sends a symmetric bimonoidal category with invertible distributivity morphisms to a symmetric monoidal bicategory, with no strict structure morphisms in general.