Accessible Categories
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Locally Presentable And Accessible Categories
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Author : Jiri Adamek (ing)
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-10
Locally Presentable And Accessible Categories written by Jiri Adamek (ing) and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-10 with Mathematics categories.
First the concepts of [lambda]-presentable objects, locally [lambda]-presentable categories, and [lambda]-accessible categories are discussed in detail. The authors go on to prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapter they treat some advanced topics in model theory. For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase.
Accessible Categories
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Author : Michael Makkai
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Accessible Categories written by Michael Makkai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
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.
Locally Presentable And Accessible Categories
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Author : Jiří Adámek
language : en
Publisher:
Release Date : 1994
Locally Presentable And Accessible Categories written by Jiří Adámek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.
The concepts of a locally presentable category and an accessible category have turned out to be useful in formulating connections between universal algebra, model theory, logic and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. Firstly the properties of l-presentable objects, locally l-presentable categories, and l-accessible categories are discussed in detail, and the equivalence of accessible and sketchable categories is proved. The authors go on to study categories of algebras and prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapters they treat some topics in model theory and some set theoretical aspects. For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase.
Locally Presentable And Accessible Categories
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Author : Jiří Adámek (ing.)
language : en
Publisher:
Release Date : 2014-05-14
Locally Presentable And Accessible Categories written by Jiří Adámek (ing.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
The concepts of a locally presentable category and an accessible category have turned out to be useful in formulating connections between universal algebra, model theory, logic and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. Firstly the properties of l-presentable objects, locally l-presentable categories, and l-accessible categories are discussed in detail, and the equivalence of accessible and sketchable categories is proved. The authors go on to study categories of algebras and prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapters they treat some topics in model theory and some set theoretical aspects. For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase.
Accessible Categories
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Author : Michael Makkai
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Accessible Categories written by Michael Makkai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Handbook Of Categorical Algebra Volume 1 Basic Category Theory
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-08-26
Handbook Of Categorical Algebra Volume 1 Basic Category Theory written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-26 with Mathematics categories.
The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. In particular, Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory.
Cognitive Biases
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Author : J.-P. Caverni
language : en
Publisher: Elsevier
Release Date : 1990-08-23
Cognitive Biases written by J.-P. Caverni and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-23 with Psychology categories.
Many studies in cognitive psychology have provided evidence of systematic deviations in cognitive task performance relative to that dictated by optimality, rationality, or coherency. The texts in this volume present an account of research into the cognitive biases observed on various tasks: reasoning, categorization, evaluation, and probabilistic and confidence judgments. The authors have attempted to discern the contribution of the study of bias to our understanding of the cognitive processes involved in each case, rather than proposing an inventory of the different types of biases. A special section has been devoted to studies on the correction of biases and cognitive aids.
Effects Of Time Constraints And Category Accessibility On Decision Making Processes
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Author : Brian Matsu Hults
language : en
Publisher:
Release Date : 1989
Effects Of Time Constraints And Category Accessibility On Decision Making Processes written by Brian Matsu Hults and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Decision making categories.
Philosophic Foundations Of Genetic Psychology And Gestalt Psychology
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Author : Ash Gobar
language : en
Publisher: Springer
Release Date : 2012-12-06
Philosophic Foundations Of Genetic Psychology And Gestalt Psychology written by Ash Gobar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Psychology categories.
XVI Psychologists have, however, shown that what we are primarily aware of is not a succession of sense-data but figures-ground phenomena: Wittgenstein's ambiguous duck-rabbit is merely one such example. They have also drawn our attention to the existence of tertiary qualities in perception, such as 'symmetry' and 'elegance' which are just as directly given as are the perceived colours red, green or yellow. It is interesting to note that Merleau-Ponty has made considerable use of Gestalt ideas in his Phenomenology of Perception. One of the commonest reasons given by linguistic philosophers for not making direct use of the results of psychological research (although philosophers are usually willing to accept the first-hand results of physical science) is that philosophical accounts of perception and thinking are concerned with analysing the language in which these reports are made; that is to say, they are second-order enquiries. Often this approach is still more restricted and ordinary linguistic usage is taken as the yardstick against which questions relating to thought and perception are to be measured. The task of the philosopher is then con fined to the analysis of ordinary language. If he is more adventurous, as some writers on philosophical psychology are, he might go on to show how far the language used by psychological researchers falls short of the paradigms of common sense.
Nonconscious Social Information Processing
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Author : Pawel Lewicki
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Nonconscious Social Information Processing written by Pawel Lewicki and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Psychology categories.
Nonconscious Social Information Processing presents a research program concerned with the processing of social information. It cannot be considered a typical social psychological research program, however, because it is not aimed at explaining any specific social psychological phenomena, nor are the cognitive processes studied specific to the processing of social information. The program explores complex or ""high level"" processing of information that is not mediated by conscious awareness, and social cognition seems to be an appropriate area in which to investigate this kind of processing. The research program began with observations which suggest that nonconscious acquisition and processing of information play a major role in human development and adjustment. The first two chapters discuss these observations and present preliminary theoretical assumptions. The subsequent chapters contain reports of 34 experiments on nonconscious information processing. The book is addressed not only to personality and social psychologists, but also to cognitive psychologists concerned with information processing in general. The former may find this research relevant because most of the experiments describe some mechanisms of acquisition and utilization of social information—problems they are working on themselves. The latter may want to ignore the specific stimulus material (i.e., social information) employed in most of the experiments and focus on the general nature of the cognitive mechanisms studied.