Circularity: A Common Secret To Paradoxes, Scientific Revolutions And Humor PDF Download
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Author: Ron Aharoni
Publisher: World Scientific
ISBN: 9814723703
Category : Mathematics
Languages : en
Pages : 180
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Book Description
'Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question 'What is humor'. The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.See Press Release: Vicious circles -- confusing, instructive, amusing?
Author: Ron Aharoni
Publisher: World Scientific
ISBN: 9814723703
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
Book Description
'Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question 'What is humor'. The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.See Press Release: Vicious circles -- confusing, instructive, amusing?
Author: Adam Gadomski
Publisher: MDPI
ISBN: 3039367463
Category : Technology & Engineering
Languages : en
Pages : 166
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Book Description
This book summarizes the efforts of ten papers collected by the Special Issue "Condensed-Matter-Principia Based Information & Statistical Measures: From Classical to Quantum". It calls for papers which deal with condensed-matter systems, or their interdisciplinary analogs, for which well-defined classical–statistical vs. quantum information measures can be inferred while based on the entropy concept. The contents have mainly been rested upon objectives addressed by an international colloquium held on October 2019, in UTP Bydgoszcz, Poland (see http://zmpf.imif.utp.edu.pl/rci-jcs/rci-jcs-4/), with an emphasis placed on the achievements of Professor Gerard Czajkowski, who commenced his research activity with open diffusion–reaction systems under the supervision of Roman S. Ingarden (Toruń), a father of Polish synergetics, and original thermodynamic approaches to self-organization. The active cooperation of Professor Czajkowski, mainly with German physicists (Friedrich Schloegl, Aachen; Werner Ebeling, Berlin), ought to be highlighted. In light of this, a development of his research, as it has moved from statistical thermodynamics to solid state theory, pursued in terms of nonlinear solid-state optics (Franco Bassani, Pisa), and culminated very recently with large quasiparticles termed Rydberg excitons, and their coherent interactions with light, is worth delineating.
Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 1400888557
Category : Mathematics
Languages : en
Pages : 248
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Book Description
The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Author: Ron Aharoni
Publisher: World Scientific
ISBN: 9811209243
Category : Mathematics
Languages : en
Pages : 237
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Book Description
The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well as teachers who wish to learn principles of mathematics and of its teaching.
Author: Wendy K. Smith
Publisher: Oxford University Press
ISBN: 019106937X
Category : Business & Economics
Languages : en
Pages : 528
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Book Description
The notion of paradox dates back to ancient philosophy, yet only recently have scholars started to explore this idea in organizational phenomena. Two decades ago, a handful of provocative theorists urged researchers to take seriously the study of paradox, and thereby deepen our understanding of plurality, tensions, and contradictions in organizational life. Studies of organizational paradox have grown exponentially over the past two decades, canvassing varied phenomena, methods, and levels of analysis. These studies have explored such tensions as today and tomorrow, global integration and local distinctions, collaboration and competition, self and others, mission and markets. Yet even with both the depth and breadth of interest in organizational paradoxes, key issues around definitions and application remain. This handbook seeks to aid, engage, and fuel the expanding interest in organizational paradox. Contributions to this volume depict how paradox studies inform, and are informed, by other theoretical perspectives, while creating a resource that enables scholars to learn about and apply this lens across varied organizational phenomena. The increasing complexity, volatility, and ambiguity in our world continually surfaces paradoxical dynamics. Thus, this handbook offers insights to scholars across organizational theory.
Author: Ron Aharoni
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814602938
Category : Mathematics
Languages : en
Pages : 261
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Book Description
What does mathematics have to do with poetry? Seemingly, nothing. Mathematics deals with abstractions while poetry with emotions. And yet, the two share something essential: Beauty. "Euclid alone has looked on beauty bare," says the title of a poem by Edna St. Vincent Millay.A winner of the CHOICE Outstanding Academic Title 2015, "Mathematics, Poetry and Beauty" tries to solve the secret of the similarity between the two domains. It tries to explain how a mathematical argument and a poem can move us in the same way. Mathematical and poetic techniques are compared, with the aim of showing how they evoke the same sense of beauty.The reader may find that, as Bertrand Russell said, "Mathematics, rightly viewed, possesses not only truth, but supreme beauty -- a beauty hold and austere, like that of sculpture ... sublimely pure, and capable of a stern perfection such as only the greatest art can show."
Author: Gregory Bateson
Publisher: University of Chicago Press
ISBN: 9780226039053
Category : Medical
Languages : en
Pages : 572
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Book Description
Gregory Bateson was a philosopher, anthropologist, photographer, naturalist, and poet, as well as the husband and collaborator of Margaret Mead. This classic anthology of his major work includes a new Foreword by his daughter, Mary Katherine Bateson. 5 line drawings.
Author: Gary L. Drescher
Publisher: MIT Press
ISBN: 0262042339
Category : Philosophy
Languages : en
Pages : 365
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Book Description
Examining a series of provocative paradoxes about consciousness, choice, ethics, and other topics, Good and Real tries to reconcile a purely mechanical view of the universe with key aspects of our subjective impressions of our own existence. In Good and Real, Gary Drescher examines a series of provocative paradoxes about consciousness, choice, ethics, quantum mechanics, and other topics, in an effort to reconcile a purely mechanical view of the universe with key aspects of our subjective impressions of our own existence. Many scientists suspect that the universe can ultimately be described by a simple (perhaps even deterministic) formalism; all that is real unfolds mechanically according to that formalism. But how, then, is it possible for us to be conscious, or to make genuine choices? And how can there be an ethical dimension to such choices? Drescher sketches computational models of consciousness, choice, and subjunctive reasoning--what would happen if this or that were to occur? --to show how such phenomena are compatible with a mechanical, even deterministic universe. Analyses of Newcomb's Problem (a paradox about choice) and the Prisoner's Dilemma (a paradox about self-interest vs. altruism, arguably reducible to Newcomb's Problem) help bring the problems and proposed solutions into focus. Regarding quantum mechanics, Drescher builds on Everett's relative-state formulation--but presenting a simplified formalism, accessible to laypersons--to argue that, contrary to some popular impressions, quantum mechanics is compatible with an objective, deterministic physical reality, and that there is no special connection between quantum phenomena and consciousness. In each of several disparate but intertwined topics ranging from physics to ethics, Drescher argues that a missing technical linchpin can make the quest for objectivity seem impossible, until the elusive technical fix is at hand.
Author: Paul Thagard
Publisher: MIT Press
ISBN: 9780262700481
Category : Philosophy
Languages : en
Pages : 260
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Book Description
By applying research in artificial intelligence to problems in the philosophy of science, Paul Thagard develops an exciting new approach to the study of scientific reasoning. This approach uses computational ideas to shed light on how scientific theories are discovered, evaluated, and used in explanations. Thagard describes a detailed computational model of problem solving and discovery that provides a conceptually rich yet rigorous alternative to accounts of scientific knowledge based on formal logic, and he uses it to illuminate such topics as the nature of concepts, hypothesis formation, analogy, and theory justification.
Author: Roger Strand
Publisher:
ISBN: 9780429061028
Category : Business & Economics
Languages : en
Pages : 194
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Book Description
"The Circular Economy in Europe presents an overview and a critical discussion on how circularity is conceived, imagined and enacted in current EU policy-making. In 2013, the idea of a circular economy entered the stage of European policy-making in the efforts to reconcile environmental and economic policy objectives. In 2019 the European Commission declared in a press release that the Circular Economy Action Plan has been delivered. The level of circularity in the European economy, however, has remained the same. Bringing together perspectives from social sciences, environmental economics and policy analysis, The Circular Economy in Europe provides a critical analysis of policies and promises of the next panacea for growth and sustainability. The authors provide a theoretical and empirical basis to discuss how contemporary societies conceive their need to re-organise production and consumption and explores the messy assemblage of institutions, actors, waste streams, biophysical flows, policy objectives, scientific disciplines, values, expectations, promises and aspirations involved. This book is essential reading for all those interested in understanding how ideas about the circular economy emerged historically, how they gained traction and are used in policy processes, and what the practical challenges in implementing this policy are"--
