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| constructive analysis: Constructive Analysis E. Bishop, Douglas Bridges, 2012-12-06 This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett. |
| constructive analysis: Techniques of Constructive Analysis Douglas S. Bridges, Luminita Simona Vita, 2007-04-30 This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. The first appendix gathers together some basic notions about sets and orders, the second gives the axioms for intuitionistic logic. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary. |
| constructive analysis: Constructive Analysis and Synthesis of Programs Marco Benini, 2009-10-04 Starting from the analysis of the problem behind formal verification of programs and showing the need for automatic synthesis and analysis of computer programs, the book presents the logical systems to reason about programs, the way to encode specifications so to enable their computational reading. Then, the mathematics behind synthesis and analysis of computer programs is developed in depth. |
| constructive analysis: Constructive Real Analysis Allen A. Goldstein, 2013-05-20 This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. Topics include iterations and fixed points, metric spaces, nonlinear programming, applications to integral equations, and more. 1967 edition. |
| constructive analysis: Foundations of Constructive Analysis Errett Bishop, 2012-07 This book, Foundations of Constructive Analysis, founded the field of constructive analysis because it proved most of the important theorems in real analysis by constructive methods. The author, Errett Albert Bishop, born July 10, 1928, was an American mathematician known for his work on analysis. In the later part of his life Bishop was seen as the leading mathematician in the area of Constructive mathematics. From 1965 until his death, he was professor at the University of California at San Diego. |
| constructive analysis: Real Analysis Mark Bridger, 2011-10-14 A unique approach to analysis that lets you apply mathematics across a range of subjects This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally verifiable. In particular, existence is never established by showing that the assumption of non-existence leads to a contradiction. The ultimate consequence of this method is that it makes sense—not just to math majors but also to students from all branches of the sciences. The text begins with a construction of the real numbers beginning with the rationals, using interval arithmetic. This introduces readers to the reasoning and proof-writing skills necessary for doing and communicating mathematics, and it sets the foundation for the rest of the text, which includes: Early use of the Completeness Theorem to prove a helpful Inverse Function Theorem Sequences, limits and series, and the careful derivation of formulas and estimates for important functions Emphasis on uniform continuity and its consequences, such as boundedness and the extension of uniformly continuous functions from dense subsets Construction of the Riemann integral for functions uniformly continuous on an interval, and its extension to improper integrals Differentiation, emphasizing the derivative as a function rather than a pointwise limit Properties of sequences and series of continuous and differentiable functions Fourier series and an introduction to more advanced ideas in functional analysis Examples throughout the text demonstrate the application of new concepts. Readers can test their own skills with problems and projects ranging in difficulty from basic to challenging. This book is designed mainly for an undergraduate course, and the author understands that many readers will not go on to more advanced pure mathematics. He therefore emphasizes an approach to mathematical analysis that can be applied across a range of subjects in engineering and the sciences. |
| constructive analysis: Regression Analysis Richard A. Berk, 2003-07-17 Berk has incisively identified the various strains of regression abuse and suggests practical steps for researchers who desire to do good social science while avoiding such errors. --Peter H. Rossi, University of Massachusetts, Amherst I have been waiting for a book like this for some time. Practitioners, especially those doing applied work, will have much to gain from Berk′s volume, regardless of their level of statistical sophistication. Graduate students in sociology, education, public policy, and any number of similar fields should also use it. It will also be a useful foil for conventional texts for the teaching of the regression model. I plan to use it for my students as a text, and hope others will do the same. --Herbert Smith, Professor of Demography & Sociology, University of Pennsylvania Regression is often applied to questions for which it is ill equipped to answer. As a formal matter, conventional regression analysis does nothing more than produce from a data set a collection of conditional means and conditional variances. The problem, though, is that researchers typically want more: they want tests, confidence intervals and the ability to make causal claims. However, these capabilities require information external to that data themselves, and too often that information makes implausible demands on how nature is supposed to function. Convenience samples are treated as if they are random samples. Causal status is given to predictors that cannot be manipulated. Disturbance terms are assumed to behave not as nature might produce them, but as required by the model. Regression Analysis: A Constructive Critique identifies a wide variety of problems with regression analysis as it is commonly used and then provides a number of ways in which practice could be improved. Regression is most useful for data reduction, leading to relatively simple but rich and precise descriptions of patterns in a data set. The emphasis on description provides readers with an insightful rethinking from the ground up of what regression analysis can do, so that readers can better match regression analysis with useful empirical questions and improved policy-related research. An interesting and lively text, rich in practical wisdom, written for people who do empirical work in the social sciences and their graduate students. --David A. Freedman, Professor of Statistics, University of California, Berkeley |
| constructive analysis: Computable Analysis Klaus Weihrauch, 2012-12-06 Is the exponential function computable? Are union and intersection of closed subsets of the real plane computable? Are differentiation and integration computable operators? Is zero finding for complex polynomials computable? Is the Mandelbrot set decidable? And in case of computability, what is the computational complexity? Computable analysis supplies exact definitions for these and many other similar questions and tries to solve them. - Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid basis for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text. |
| constructive analysis: The Way of Analysis Robert S. Strichartz, 2000 The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings. |
| constructive analysis: Analysis and Calculus Nicholas Faulkner, Erik Gregersen, 2017-12-15 This impressive volume stands out because it teaches both math and the history behind it. It introduces the serious student of math to key concepts of calculus, while offering biographies of important figures as a background to the comprehensive understanding of the field. Readers will gain a solid appreciation for the sometimes competing theories that informed its early history. Though this book is perfect for the serious student, it is accessible to all levels, with coverage of both basic and complex ideas. |
| constructive analysis: Foundations of Constructive Probability Theory Yuen-Kwok Chan, 2021-05-27 This book provides a systematic and general theory of probability within the framework of constructive mathematics. |
| constructive analysis: Further Insights Into Contrastive Analysis Jacek Fisiak, 1990 After a period of crisis in the 1960s, Contrastive Analysis has now regained its firm position, although in a different form and with broader goals. This collection of papers reflects the scope of research and the range of interest of linguists who are involved in contrastive linguistics research. The volume contains 35 contributions by 37 authors from 13 different countries and includes an Index of names and an Index of terms. |
| constructive analysis: Computability and Complexity in Analysis Jens Blanck, Vasco Brattka, Peter Hertling, 2003-06-29 The workshop on Computability and Complexity in Analysis, CCA 2000, was hosted by the Department of Computer Science of the University of Wales Swansea, September 17{19, 2000. It was the fourth workshop in a successful series of workshops: CCA’95 in Hagen, Germany, CCA’96 in Trier, Germany, and CCA’98 in Brno, Czech Republic. About 40 participants from the countries United Kingdom, Germany, Japan, Italy, Russia, France, Denmark, Greece, and Ireland contributed to the success of this meeting. Altogether, 28 talkswere p- sented in Swansea. These proceedings include 23 papers which represent a cro- section through recent research on computability and complexity in analysis. The workshop succeeded in bringing together people interested in computability and complexity aspects of analysis and in exploring connections with nume- cal methods, physics and, of course, computer science. It was rounded o by a number of talks and papers on exact computer arithmetic and by a competition of v e implemented systems. A report on this competition has been included in these proceedings. We would like to thank the authors for their contributions and the referees for their careful work, and we hope for further inspiring and constructive meetings of the same kind. April 2001 Jens Blanck Vasco Brattka Peter Hertling Organization CCA2000was hosted by the Department of Computer Science of the University of Wales Swansea and took place on September 17{19, 2000. |
| constructive analysis: Multivariate Analysis Jude May, 2018-07-22 When measuring a few factors on a complex test unit, it is frequently important to break down the factors all the while, as opposed to separate them and think of them as independently. This book Multivariate investigation empowers analysts to investigate the joint execution of such factors and to decide the impact of every factor within the sight of the others. This book gives understudies of every single measurable foundation with both the major and more modern aptitudes important to ace the train. To represent multivariate applications, the creator gives cases and activities in light of fifty-nine genuine informational collections from a wide assortment of logical fields. Here takes a e;strategiese; way to deal with his subject, with an accentuation on how understudies and professionals can utilize multivariate investigation, all things considered, circumstances. This book sections like: Cluster analysis; Multidimensional scaling; Correspondence analysis; Biplots. |
| constructive analysis: Handbook of Analysis and Its Foundations Eric Schechter, 1996-10-24 Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/ |
| constructive analysis: Encyclopaedia of Mathematics M. Hazewinkel, 2013-12-01 |
| constructive analysis: Constructive Adpositional Grammars Marco Benini, Federico Gobbo, 2011-05-25 This book presents a new paradigm of natural language grammar analysis, based on adposition as the key concept, considered a general connection between two morphemes – or group of morphemes. The adpositional paradigm considers the morpheme as the basic unit to represent morphosyntax, taken as a whole, in terms of constructions, while semantics and pragmatics are treated accordingly. All linguistic observations within the book can be described through the methods and tools of Constructive Mathematics, so that the modelling becomes formally feasible. A full description in category-theoretic terms of the formal model is provided in the Appendix. A lot of examples taken from natural languages belonging to different typological areas are offered throughout the volume, in order to explain and validate the modeling – with special attention given to ergativity. Finally, a first real-world application of the paradigm is given, i.e., conversational analysis of the transcript of therapeutic settings in terms of constructive speech acts. The main goal of this book is to broaden the scope of Linguistics by including Constructive Mathematics in order to deal with known topics such as grammaticalization, children’s speech, language comparison, dependency and valency from a different perspective. It primarily concerns advanced students and researchers in the field of Theoretical and Mathematical Linguistics but the audience can also include scholars interested in applications of Topos Theory in Linguistics. |
| constructive analysis: Handbook of Computability and Complexity in Analysis Vasco Brattka, Peter Hertling, 2021-06-04 Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field. |
| constructive analysis: The Britannica Guide to Analysis and Calculus Erik Gregersen Associate Editor, Astronomy and Space Exploration, 2010-08-15 Examines the history of analysis and calculus, including the geniuses of invention and theory, the practical applications of the math, and explanations of the major topics. |
| constructive analysis: A Companion to Analysis Thomas William Körner, 2004 This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique. |
| constructive analysis: Convex Analysis and Minimization Algorithms I Jean-Baptiste Hiriart-Urruty, Claude Lemarechal, 1996-10-30 Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books. |
| constructive analysis: Discrete Geometry for Computer Imagery David Coeurjolly, Isabelle Sivignon, Laure Tougne, Florent Dupont, 2008-04-05 This book constitutes the refereed proceedings of the 14th IAPR TC-18 International Conference on Discrete Geometry for Computer Imagery, DGCI 2008, held in Lyon, France, in April 2008. |
| constructive analysis: A Course in Constructive Algebra Ray Mines, Fred Richman, Wim Ruitenburg, 2012-09-10 The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Foundations of constructiue analysis in 1967, and by the subtle influences of the proliferation of powerful computers. Bishop demonstrated that pure mathematics can be developed from a constructive point of view while maintaining a continuity with classical terminology and spirit; much more of classical mathematics was preserved than had been thought possible, and no classically false theorems resulted, as had been the case in other constructive schools such as intuitionism and Russian constructivism. The computers created a widespread awareness of the intuitive notion of an effecti ve procedure, and of computation in principle, in addi tion to stimulating the study of constructive algebra for actual implementation, and from the point of view of recursive function theory. In analysis, constructive problems arise instantly because we must start with the real numbers, and there is no finite procedure for deciding whether two given real numbers are equal or not (the real numbers are not discrete) . The main thrust of constructive mathematics was in the direction of analysis, although several mathematicians, including Kronecker and van der waerden, made important contributions to construc tive algebra. Heyting, working in intuitionistic algebra, concentrated on issues raised by considering algebraic structures over the real numbers, and so developed a handmaiden'of analysis rather than a theory of discrete algebraic structures. |
| constructive analysis: Encyclopaedia of Mathematics Michiel Hazewinkel, 2013-12-01 This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques. |
| constructive analysis: Proceedings of the Logic Colloquium. Held in Aachen, July 18-23, 1983 M. M. Richter, E. Börger, W. Oberschelp, B. Schinzel, W. Thomas, 2006-12-08 |
| constructive analysis: Foundations of Constructive Analysis Errett Bishop, 1967 |
| constructive analysis: Algorithms: Main Ideas and Applications Vladimir Uspensky, A.L. Semenov, 2013-03-14 Today the notion of the algorithm is familiar not only to mathematicians. It forms a conceptual base for information processing; the existence of a corresponding algorithm makes automatic information processing possible. The theory of algorithms (together with mathematical logic ) forms the the oretical basis for modern computer science (see [Sem Us 86]; this article is called Mathematical Logic in Computer Science and Computing Practice and in its title mathematical logic is understood in a broad sense including the theory of algorithms). However, not everyone realizes that the word algorithm includes a transformed toponym Khorezm. Algorithms were named after a great sci entist of medieval East, is al-Khwarizmi (where al-Khwarizmi means from Khorezm). He lived between c. 783 and 850 B.C. and the year 1983 was chosen to celebrate his 1200th birthday. A short biography of al-Khwarizmi compiled in the tenth century starts as follows: al-Khwarizmi. His name is Muhammad ibn Musa, he is from Khoresm (cited according to [Bul Rozen Ah 83, p.8]). |
| constructive analysis: Algorithmic Randomness Johanna N. Y. Franklin, Christopher P. Porter, 2020-05-07 Surveys on recent developments in the theory of algorithmic randomness and its interactions with other areas of mathematics. |
| constructive analysis: Lectures on Constructive Approximation Volker Michel, 2012-12-12 Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth’s or the brain’s interior. Specific topics covered include: * the advantages and disadvantages of Fourier, spline, and wavelet methods * theory and numerics of orthogonal polynomials on intervals, spheres, and balls * cubic splines and splines based on reproducing kernels * multiresolution analysis using wavelets and scaling functions This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields. |
| constructive analysis: Thirty-one invited addresses at the International Congress of Mathematicians in Moscow, 1966 M. A. Aizerman, 1968-12-31 |
| constructive analysis: In the Light of Logic Solomon Feferman, 1998-11-19 In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects. |
| constructive analysis: Connecting with Computability Liesbeth De Mol, Andreas Weiermann, Florin Manea, David Fernández-Duque, 2021-07-01 This book constitutes the proceedings of the 17th Conference on Computability in Europe, CiE 2021, organized by the University of Ghent in July 2021. Due to COVID-19 pandemic the conference was held virtually. The 48 full papers presented in this volume were carefully reviewed and selected from 50 submissions. CiE promotes the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences, such as physics and biology, as well as related fields, such as philosophy and history of computing. CiE 2021 had as its motto Connecting with Computability, a clear acknowledgement of the connecting and interdisciplinary nature of the conference series which is all the more important in a time where people are more than ever disconnected from one another due to the COVID-19 pandemic. |
| constructive analysis: Interaction and Everyday Life Hisashi Nasu, Frances Chaput Waksler, 2012-08-17 Phenomenological sociology and ethnomethodology have many adherents and practitioners throughout the world. The international character of interest in these two areas is exemplified by the papers in this book, which come from scholars in Canada, France, Germany, Japan, South Korea, Switzerland, and the United States. They exemplify the kinds of theoretical and research issues that arise in seeking to explore the social world in ways that respect what Edmund Husserl referred to as “the original right” of all data. The papers were inspired in various ways by the work of George Psathas, Professor Emeritus, Boston University, a renowned phenomenological sociologist and ethnomethodologist and a fundamental contributor to phenomenological sociology and ethnomethodology movements both in the United States and throughout the world. The collection consists of three parts: Phenomenology Sociology as an Intellectual Movement, Phenomenological Considerations, and Ethnomethodological Explorations, reflecting areas to which Professor Psathas has made significant contributions. A phenomenological sociology movement in the US is examined as an intellectual movement in itself and as it is influenced by a leader’s participation both as scholar and as teacher. Phenomenological sociology’s efficacy and potential are discussed in terms of a broad range of theoretical and empirical issues: methodology, similarities and differences between phenomenological sociology and ethnomethodology, embodied sociality, power, trust, friendship, face-to-face interaction, and interactions between children and adults.Theoretical articles addressing fundamental features of ethnomethodology, its development, and its relation to process-relational philosophy are balanced by empirical articles founded on authors’ original ethnomethodological research—activities of direction-giving and direction-following, accounts for organizational deviance, garden lessons, doing being friends, and the crafting of musical time. Through these papers readers can come to understand the theoretical development of phenomenological sociology and ethnomethodology, appreciate their achievements and their promise, and find inspiration to pursue their own work in phenomenological sociology and ethnomethodology. |
| constructive analysis: The Vienna Circle and Logical Empiricism F. Stadler, 2006-06-09 The Vienna Circle and Logical Empiricism is for scholars, researchers and students in history and philosophy of science focusing on Logical Empiricism and analytic philosophy (of science). This volume features recent work from international research and historiography on the Vienna Circle and Logical Empiricism and their influence. It is unique in that it: -provides historical and systematic research; -deals with the influence and impact of the Vienna Circle/Logical Empiricism on today's philosophy of science; -explores the intellectual context of this scientific philosophy; -unites contributions by renowned scholars and a younger generation of philosophers; -focuses on main figures and peripheral adherents; -features crucial issues of Logical Empiricism; -documents the activities of the Vienna Circle Institute; -includes reviews on related topics. |
| constructive analysis: Exogenous Factors in Colonic Carcinogenesis W. Scheppach, M. Scheurlen, 2003-01-31 This book is the proceedings of Falk Symposium 128, held in Würzburg, Germany, on May 2-3, 2002, and dedicated to the important issue of colonic carcinogenesis and its underlying genetic and environmental factors. Colorectal cancer is one of the leading causes of cancer-related death in industrialized countries. It has been recognized to be the consequence of a dynamic process leading from hyperproliferative epithelium through different classes of adenomas to invasive carcinoma. This adenoma-carcinoma sequence has been characterized on a molecular basis. Modern molecular biology has also helped to clarify the clustering of colorectal cancer within families, a phenomenon that has been known to clinicians for a long time. Thus, the pathogenesis of the two distinct familial colon cancer syndromes FAP (familial adenomatous polyposis) and HNPCC (hereditary non-polyposis colorectal cancer) is increasingly being understood. Thereby, an identification of affected people has become possible before the disease has manifested. There is also convincing evidence that the pathogenesis of sporadic colonic cancer is modulated by environmental, mainly nutritional, factors. Carcinogens seem to be far less important than the components of the `normal' human diet. It is likely that the interplay between protective and noxious dietary compounds determines the progression of the adenoma-carcinoma sequence. Additionally, a broad spectrum of drugs has been shown to affect colonic tumorigenesis, which provides the rationale for chemoprevention strategies. These issues set the scene for discussions on how genetic and environmental factors may interact in the pathogenesis of colonic cancer, contributing fresh ideas to the prevention of this most prevalent malignancy in the industrialized world. |
| constructive analysis: Truth in Mathematics Harold G. Dales, Gianluigi Oliveri, 1998 The nature of truth in mathematics is a problem which has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth centuryand in particular the proof of Gödel's theorem and the development of the notion of independence in mathematicshave led to new viewpoints on this question in our era. This book is the result of the interaction of a number of outstanding mathematicians and philosophersincluding Yurii Manin, Vaughan Jones, and Per Martin-Löfand their discussions of this problem. It provides an overview of the forefront of current thinking, and is a valuable introduction and reference for researchers in the area. |
| constructive analysis: Nonstandard Analysis Karl Kuhlemann, 2024-12-16 Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course. The monograph part presents all major approaches to nonstandard analysis and discusses logical, model-theoretic, and set-theoretic investigations to reveal possible mathematical reasons that may lead to reservations about nonstandard analysis. Also various foundational positions as well as ontological, epistemological, and application-related issues are addressed. It turns out that the one-sided preference for standard analysis is justified neither from a didactic, mathematical nor philosophical point of view. Thus, the book is especially valuable for students and instructors of analysis who are also interested in the foundations of their subject. |
| constructive analysis: Computation and Logic in the Real World Barry S. Cooper, Benedikt Löwe, Andrea Sorbi, 2007-07-25 This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions. |
| constructive analysis: Recursive Algebra, Analysis and Combinatorics , 1998-11-30 Recursive Algebra, Analysis and Combinatorics |
CONSTRUCTIVE Definition & Meaning - Merriam-Webster
The meaning of CONSTRUCTIVE is declared such by judicial construction or interpretation. How to use constructive in a sentence.
CONSTRUCTIVE | English meaning - Cambridge Dictionary
CONSTRUCTIVE definition: 1. If advice, criticism, or actions are constructive, they are useful and intended to help or…. Learn more.
CONSTRUCTIVE Definition & Meaning | Dictionary.com
Constructive definition: helping to improve; promoting further development or advancement (destructive ).. See examples of CONSTRUCTIVE used in a sentence.
272 Synonyms & Antonyms for CONSTRUCTIVE - Thesaurus.com
Find 272 different ways to say CONSTRUCTIVE, along with antonyms, related words, and example sentences at Thesaurus.com.
constructive adjective - Definition, pictures, pronunciation and …
having a useful and helpful effect rather than being negative or with no purpose. His work involved helping hyperactive children to use their energy in a constructive way. The government is …
CONSTRUCTIVE definition and meaning | Collins English Dictionary
A constructive discussion, comment, or approach is useful and helpful rather than negative and unhelpful.
Constructive - definition of constructive by The Free Dictionary
1. serving to build or improve; positive: constructive criticism. 2. (Law) law deduced by inference or construction; not expressed but inferred. 3. (Law) law having a deemed legal effect: …
constructive - Wiktionary, the free dictionary
Jan 2, 2025 · constructive (comparative more constructive, superlative most constructive) Relating to or causing construction. Antonym: destructive; Carefully considered and meant to …
What does constructive mean? - Definitions.net
Constructive refers to something that is helpful or beneficial, often contributing to progress, improvement, or the achievement of a specific goal. It can also refer to a way of expressing …
Constructive - Definition, Meaning & Synonyms - Vocabulary.com
Constructive is an adjective associated with encouraging development, physical or otherwise. It is the opposite of destructive, which means "tending to destroy." If you are a constructive …
CONSTRUCTIVE Definition & Meaning - Merriam-Webster
The meaning of CONSTRUCTIVE is declared such by judicial construction or interpretation. How to use constructive in a sentence.
CONSTRUCTIVE | English meaning - Cambridge Dictionary
CONSTRUCTIVE definition: 1. If advice, criticism, or actions are constructive, they are useful and intended to help or…. Learn more.
CONSTRUCTIVE Definition & Meaning | Dictionary.com
Constructive definition: helping to improve; promoting further development or advancement (destructive ).. See examples of CONSTRUCTIVE used in a sentence.
272 Synonyms & Antonyms for CONSTRUCTIVE - Thesaurus.com
Find 272 different ways to say CONSTRUCTIVE, along with antonyms, related words, and example sentences at Thesaurus.com.
constructive adjective - Definition, pictures, pronunciation and …
having a useful and helpful effect rather than being negative or with no purpose. His work involved helping hyperactive children to use their energy in a constructive way. The government is …
CONSTRUCTIVE definition and meaning | Collins English …
A constructive discussion, comment, or approach is useful and helpful rather than negative and unhelpful.
Constructive - definition of constructive by The Free Dictionary
1. serving to build or improve; positive: constructive criticism. 2. (Law) law deduced by inference or construction; not expressed but inferred. 3. (Law) law having a deemed legal effect: …
constructive - Wiktionary, the free dictionary
Jan 2, 2025 · constructive (comparative more constructive, superlative most constructive) Relating to or causing construction. Antonym: destructive; Carefully considered and meant to …
What does constructive mean? - Definitions.net
Constructive refers to something that is helpful or beneficial, often contributing to progress, improvement, or the achievement of a specific goal. It can also refer to a way of expressing …
Constructive - Definition, Meaning & Synonyms
Constructive is an adjective associated with encouraging development, physical or otherwise. It is the opposite of destructive, which means "tending to destroy." If you are a constructive …
