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Author: R. Goldblatt Publisher: Elsevier ISBN: 148329921X Category : Mathematics Languages : en Pages : 565
Book Description
The first of its kind, this book presents a widely accessible exposition of topos theory, aimed at the philosopher-logician as well as the mathematician. It is suitable for individual study or use in class at the graduate level (it includes 500 exercises). It begins with a fully motivated introduction to category theory itself, moving always from the particular example to the abstract concept. It then introduces the notion of elementary topos, with a wide range of examples and goes on to develop its theory in depth, and to elicit in detail its relationship to Kripke's intuitionistic semantics, models of classical set theory and the conceptual framework of sheaf theory (``localization'' of truth). Of particular interest is a Dedekind-cuts style construction of number systems in topoi, leading to a model of the intuitionistic continuum in which a ``Dedekind-real'' becomes represented as a ``continuously-variable classical real number''. The second edition contains a new chapter, entitled Logical Geometry, which introduces the reader to the theory of geometric morphisms of Grothendieck topoi, and its model-theoretic rendering by Makkai and Reyes. The aim of this chapter is to explain why Deligne's theorem about the existence of points of coherent topoi is equivalent to the classical Completeness theorem for ``geometric'' first-order formulae.
Author: R. Goldblatt Publisher: Elsevier ISBN: 148329921X Category : Mathematics Languages : en Pages : 565
Book Description
The first of its kind, this book presents a widely accessible exposition of topos theory, aimed at the philosopher-logician as well as the mathematician. It is suitable for individual study or use in class at the graduate level (it includes 500 exercises). It begins with a fully motivated introduction to category theory itself, moving always from the particular example to the abstract concept. It then introduces the notion of elementary topos, with a wide range of examples and goes on to develop its theory in depth, and to elicit in detail its relationship to Kripke's intuitionistic semantics, models of classical set theory and the conceptual framework of sheaf theory (``localization'' of truth). Of particular interest is a Dedekind-cuts style construction of number systems in topoi, leading to a model of the intuitionistic continuum in which a ``Dedekind-real'' becomes represented as a ``continuously-variable classical real number''. The second edition contains a new chapter, entitled Logical Geometry, which introduces the reader to the theory of geometric morphisms of Grothendieck topoi, and its model-theoretic rendering by Makkai and Reyes. The aim of this chapter is to explain why Deligne's theorem about the existence of points of coherent topoi is equivalent to the classical Completeness theorem for ``geometric'' first-order formulae.
Author: Alan Agresti Publisher: John Wiley & Sons ISBN: 1119405270 Category : Mathematics Languages : en Pages : 400
Book Description
A valuable new edition of a standard reference The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data. Adding to the value in the new edition is: • Illustrations of the use of R software to perform all the analyses in the book • A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis • New sections in many chapters introducing the Bayesian approach for the methods of that chapter • More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets • An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more. An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.
Author: E. Maynard Adams Publisher: UNC Press Books ISBN: 1469643855 Category : Philosophy Languages : en Pages : 437
Book Description
The essays in this volume have been selected for their contribution to Everett W. Hall's mature philosophical position, which was grounded in careful linguistic analysis and directed toward philosophically clarifying the major areas of culture. He emerges as skillful, meticulous, and patient in his exploration of language as a means of interpreting the categorial structure of the world. Originally published in 1964. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.
Author: Alan Agresti Publisher: John Wiley & Sons ISBN: 1118710940 Category : Mathematics Languages : en Pages : 752
Book Description
Praise for the Second Edition "A must-have book for anyone expecting to do research and/orapplications in categorical data analysis." —Statistics in Medicine "It is a total delight reading this book." —Pharmaceutical Research "If you do any analysis of categorical data, this is anessential desktop reference." —Technometrics The use of statistical methods for analyzing categorical datahas increased dramatically, particularly in the biomedical, socialsciences, and financial industries. Responding to new developments,this book offers a comprehensive treatment of the most importantmethods for categorical data analysis. Categorical Data Analysis, Third Edition summarizes thelatest methods for univariate and correlated multivariatecategorical responses. Readers will find a unified generalizedlinear models approach that connects logistic regression andPoisson and negative binomial loglinear models for discrete datawith normal regression for continuous data. This edition alsofeatures: An emphasis on logistic and probit regression methods forbinary, ordinal, and nominal responses for independent observationsand for clustered data with marginal models and random effectsmodels Two new chapters on alternative methods for binary responsedata, including smoothing and regularization methods,classification methods such as linear discriminant analysis andclassification trees, and cluster analysis New sections introducing the Bayesian approach for methods inthat chapter More than 100 analyses of data sets and over 600 exercises Notes at the end of each chapter that provide references torecent research and topics not covered in the text, linked to abibliography of more than 1,200 sources A supplementary website showing how to use R and SAS; for allexamples in the text, with information also about SPSS and Stataand with exercise solutions Categorical Data Analysis, Third Edition is an invaluabletool for statisticians and methodologists, such as biostatisticiansand researchers in the social and behavioral sciences, medicine andpublic health, marketing, education, finance, biological andagricultural sciences, and industrial quality control.
Author: Antony Unwin Publisher: CRC Press ISBN: 1498786774 Category : Mathematics Languages : en Pages : 310
Book Description
See How Graphics Reveal Information Graphical Data Analysis with R shows you what information you can gain from graphical displays. The book focuses on why you draw graphics to display data and which graphics to draw (and uses R to do so). All the datasets are available in R or one of its packages and the R code is available at rosuda.org/GDA. Graphical data analysis is useful for data cleaning, exploring data structure, detecting outliers and unusual groups, identifying trends and clusters, spotting local patterns, evaluating modelling output, and presenting results. This book guides you in choosing graphics and understanding what information you can glean from them. It can be used as a primary text in a graphical data analysis course or as a supplement in a statistics course. Colour graphics are used throughout.
Author: Jack Hoeksema Publisher: Routledge ISBN: 1317933737 Category : Language Arts & Disciplines Languages : en Pages : 240
Book Description
This book presents an account of certain problems of morphological analysis that occurs within a theoretical framework that derives its inspiration from recent studies of the lexicon in generative grammar. The starting point is the controversy about the proper analysis of synthetic compounds. Are they really compounds, or phrasal derivations, or do they constitute a type of word formation of their own?
Author: Wolfe Mays Publisher: Bucknell University Press ISBN: 9780838710258 Category : Philosophy Languages : en Pages : 326
Book Description
This volume contains the proceedings of the six symposia of the 'Philosophers into Europe' conference held under the joint auspices of the Royal Institute of Philosophy and the British Society for Phenomenology at the University of Southampton in September 1969.
Author: Brajendra C. Sutradhar Publisher: Springer ISBN: 1493921371 Category : Mathematics Languages : en Pages : 369
Book Description
This is the first book in longitudinal categorical data analysis with parametric correlation models developed based on dynamic relationships among repeated categorical responses. This book is a natural generalization of the longitudinal binary data analysis to the multinomial data setup with more than two categories. Thus, unlike the existing books on cross-sectional categorical data analysis using log linear models, this book uses multinomial probability models both in cross-sectional and longitudinal setups. A theoretical foundation is provided for the analysis of univariate multinomial responses, by developing models systematically for the cases with no covariates as well as categorical covariates, both in cross-sectional and longitudinal setups. In the longitudinal setup, both stationary and non-stationary covariates are considered. These models have also been extended to the bivariate multinomial setup along with suitable covariates. For the inferences, the book uses the generalized quasi-likelihood as well as the exact likelihood approaches. The book is technically rigorous, and, it also presents illustrations of the statistical analysis of various real life data involving univariate multinomial responses both in cross-sectional and longitudinal setups. This book is written mainly for the graduate students and researchers in statistics and social sciences, among other applied statistics research areas. However, the rest of the book, specifically the chapters from 1 to 3, may also be used for a senior undergraduate course in statistics.
Author: Predrag Cicovacki Publisher: Bloomsbury Publishing USA ISBN: 1623569745 Category : Philosophy Languages : en Pages : 185
Book Description
Structured to introduce the reader into all aspects of the philosophy of Nicolai Hartmann (1882-1950), this book aims to stimulate further interest into his thought. Once considered the most studious and systematic of all the German philosophers of the twentieth-century, this prolific author has been nearly forgotten. For many years a student and an admirer of Hartmann's work, Cicovacki argues that a closer look into Hartmann's ontologically and axiologically oriented philosophy contains a promise of a vital philosophical orientation, especially with regard to our understanding of the nature, place, and role of humanity in the larger world. "The Analysis of Wonder" - Hartmann's own definition of philosophy - is an invitation to the readers to challenge their preconceived and self-interested notions of reality in order to relearn to appreciate the always changing and conflicting world, in all of its complexity, richness, and sublimity.
Author: Tibor Kiss Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110393166 Category : Language Arts & Disciplines Languages : en Pages : 652
Book Description
This Handbook represents the development of research and the current level of knowledge in the fields of syntactic theory and syntax analysis. Syntax can look back to a long tradition. Especially in the last 50 years, however, the interaction between syntactic theory and syntactic analysis has led to a rapid increase in analyses and theoretical suggestions. This second edition of the Handbook on Syntax adopts a unifying perspective and therefore does not place the division of syntactic theory into several schools to the fore, but the increase in knowledge resulting from the fruitful argumentations between syntactic analysis and syntactic theory. It uses selected phenomena of individual languages and their cross-linguistic realizations to explain what syntactic analyses can do and at the same time to show in what respects syntactic theories differ from each other. It investigates how syntax is related to neighbouring disciplines and investigate the role of the interfaces especially the relationship between syntax and phonology, morphology, compositional semantics, pragmatics, and the lexicon. The phenomena chosen bring together renowned experts in syntax, and represent the consensus reached as to what has to be considered as an important as well as illustrative syntactic phenomenon. The phenomena discuss do not only serve to show syntactic analyses, but also to compare theoretical approaches with each other.
Author: R. Goldblatt
Author: R. Goldblatt
Author: Alan Agresti
Author: E. Maynard Adams
Author: Alan Agresti
Author: Antony Unwin
Author: Jack Hoeksema
Author: Wolfe Mays
Author: Brajendra C. Sutradhar
Author: Predrag Cicovacki
Author: Tibor Kiss