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Author: Harold Garfinkel
Publisher: Rowman & Littlefield
ISBN: 9780742516427
Category : Social Science
Languages : en
Pages : 320
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Book Description
Since the 1967 publication of Studies in Ethnomethodology, Harold Garfinkel has indelibly influenced the social sciences and humanities worldwide. This new book, the long-awaited sequel to Studies, comprises Garfinkel's work over three decades to further elaborate the study of ethnomethodology. 'Working out Durkheim's Aphorism, ' the title used for this new book, emphasizes Garfinkel's insistence that his position focuses on fundamental sociological issues--and that interpretations of his position as indifferent to sociology have been misunderstandings. Durkheim's aphorism states that the concreteness of social facts is sociology's most fundamental phenomenon. Garfinkel argues that sociologists have, for a century or more, ignored this aphorism and treated social facts as theoretical, or conceptual, constructions. Garfinkel in this new book shows how and why sociology must restore Durkheim's aphorism, through an insistence on the concreteness of social facts that are produced by complex social practices enacted by participants in the social order. Garfinkel's new book, like Studies, will likely stand as another landmark in sociological theory, yet it is clearer and more concrete in revealing human social practices.
Author: Harold Garfinkel
Publisher: Rowman & Littlefield
ISBN: 9780742516427
Category : Social Science
Languages : en
Pages : 320
Get Book Here
Book Description
Since the 1967 publication of Studies in Ethnomethodology, Harold Garfinkel has indelibly influenced the social sciences and humanities worldwide. This new book, the long-awaited sequel to Studies, comprises Garfinkel's work over three decades to further elaborate the study of ethnomethodology. 'Working out Durkheim's Aphorism, ' the title used for this new book, emphasizes Garfinkel's insistence that his position focuses on fundamental sociological issues--and that interpretations of his position as indifferent to sociology have been misunderstandings. Durkheim's aphorism states that the concreteness of social facts is sociology's most fundamental phenomenon. Garfinkel argues that sociologists have, for a century or more, ignored this aphorism and treated social facts as theoretical, or conceptual, constructions. Garfinkel in this new book shows how and why sociology must restore Durkheim's aphorism, through an insistence on the concreteness of social facts that are produced by complex social practices enacted by participants in the social order. Garfinkel's new book, like Studies, will likely stand as another landmark in sociological theory, yet it is clearer and more concrete in revealing human social practices.
Author: Alexander S. Kechris
Publisher: Cambridge University Press
ISBN: 1107182999
Category : Mathematics
Languages : en
Pages : 317
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Book Description
The final volume in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.
Author: A. S. Kechris
Publisher: Springer
ISBN: 3540384227
Category : Mathematics
Languages : en
Pages : 271
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Book Description
Author: A. S. Kechris
Publisher:
ISBN: 9781316863534
Category : Game theory
Languages : en
Pages :
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Book Description
Author: Alexander Kechris
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 236
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Book Description
This is the fourth volume of the proceeding of the Caltech-UCLA Logic Seminar, based mainly on material which was presented and discussed in the period 1981-85, but containing also some very recent results. It includes research papers dealing with determinacy hypotheses and their consequences in descriptive set theory. An appendix contains the new Victoria Delfino Problems.
Author: Paul B. Larson
Publisher: American Mathematical Society
ISBN: 1470472104
Category : Mathematics
Languages : en
Pages : 182
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Book Description
This is an expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, in particular by W. Hugh Woodin. The first half of the book reviews necessary background material, including the Moschovakis Coding Lemma, the existence of strong partition cardinals, and the analysis of pointclasses in models of determinacy. The second half of the book introduces Woodin's axiom system $mathrm{AD}^{+}$ and presents his initial analysis of these axioms. These results include the consistency of $mathrm{AD}^{+}$ from the consistency of AD, and its local character and initial motivation. Proofs are given of fundamental results by Woodin, Martin, and Becker on the relationships among AD, $mathrm{AD}^{+}$, the Axiom of Real Determinacy, and the Suslin property. Many of these results are proved in print here for the first time. The book briefly discusses later work and fundamental questions which remain open. The study of models of $mathrm{AD}^{+}$ is an active area of contemporary research in set theory. The presentation is aimed at readers with a background in basic set theory, including forcing and ultrapowers. Some familiarity with classical results on regularity properties for sets of reals under AD is also expected.
Author:
Publisher: Elsevier
ISBN: 0080930662
Category : Mathematics
Languages : en
Pages : 878
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Book Description
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights
Author: Andrés Eduardo Caicedo
Publisher: American Mathematical Soc.
ISBN: 1470422565
Category : Mathematics
Languages : en
Pages : 346
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Book Description
This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.
Author: Yiannis N. Moschovakis
Publisher: American Mathematical Society
ISBN: 1470479877
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern ?effective? theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory.
Author: Akihiro Kanamori
Publisher: Springer Science & Business Media
ISBN: 3540888667
Category : Mathematics
Languages : en
Pages : 554
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Book Description
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
