What Is Mathematics Really
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What Is Mathematics Really
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Author : Reuben Hersh
language : en
Publisher:
Release Date : 1997
What Is Mathematics Really written by Reuben Hersh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context.
What Is Mathematics Really
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Author : Reuben Hersh
language : en
Publisher: Oxford University Press
Release Date : 1997-08-21
What Is Mathematics Really written by Reuben Hersh and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-21 with Mathematics categories.
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Proceedings Of The 13th International Congress On Mathematical Education
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Author : Gabriele Kaiser
language : en
Publisher: Springer
Release Date : 2017-10-31
Proceedings Of The 13th International Congress On Mathematical Education written by Gabriele Kaiser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with Education categories.
This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.
What Is Mathematics Really
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Author : Reuben Hersh
language : en
Publisher:
Release Date : 1990
What Is Mathematics Really written by Reuben Hersh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Language And The Ineffable
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Author : Louis S. Berger
language : en
Publisher: Lexington Books
Release Date : 2011-01-01
Language And The Ineffable written by Louis S. Berger and has been published by Lexington Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Philosophy categories.
The prevailing conception of language is often called "the received view." Though ubiquitous, Louis S. Berger demonstrates its flaws and the difficulties it raises for other disciplines, such as philosophy and physics. In Language and the Ineffable, Berger develops an unconventional model of human development: ontogenesis. A radical and generative feature of the model is the premise that the neonate's world is holistic, boundary-less, unimaginable, and impossible to describe; in other words, ineffable. This study unsettles the foundations of sacrosanct beliefs about language and a host of other disciplines in the process.
The Philosophy And Practice Of Medicine And Bioethics
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Author : Barbara Maier
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-03
The Philosophy And Practice Of Medicine And Bioethics written by Barbara Maier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-03 with Science categories.
This book challenges the unchallenged methods in medicine, such as "evidence-based medicine," which claim to be, but often are not, scientific. It completes medical care by adding the comprehensive humanistic perspectives and philosophy of medicine. No specific or absolute recommendations are given regarding medical treatment, moral approaches, or legal advice. Given rather is discussion about each issue involved and the strongest arguments indicated. Each argument is subject to further critical analysis. This is the same position as with any philosophical, medical or scientific view. The argument that decision-making in medicine is inadequate unless grounded on a philosophy of medicine is not meant to include all of philosophy and every philosopher. On the contrary, it includes only sound, practical and humanistic philosophy and philosophers who are creative and critical thinkers and who have concerned themselves with the topics relevant to medicine. These would be those philosophers who engage in practical philosophy, such as the pragmatists, humanists, naturalists, and ordinary-language philosophers. A new definition of our own philosophy of life emerges and it is necessary to have one. Good lifestyle no longer means just abstaining from cigarettes, alcohol and getting exercise. It also means living a holistic life, which includes all of one's thinking, personality and actions. This book also includes new ways of thinking. In this regard the "Metaphorical Method" is explained, used, and exemplified in depth, for example in the chapters on care, egoism and altruism, letting die, etc.
Experiencing Mathematics
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Author : Reuben Hersh
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-24
Experiencing Mathematics written by Reuben Hersh 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 2013-12-24 with Mathematics categories.
Part IV. About the author -- An amusing elementary example -- Annotated research bibliography -- Curriculum vitae -- List of articles -- Index -- Back Cover
The Panenmentalist Philosophy Of Science
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Author : Amihud Gilead
language : en
Publisher: Springer Nature
Release Date : 2020-03-06
The Panenmentalist Philosophy Of Science written by Amihud Gilead and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-06 with Science categories.
This book presents a philosophy of science, based on panenmentalism: an original modal metaphysics, which is realist about individual pure (non-actual) possibilities and rejects the notion of possible worlds. The book systematically constructs a new and novel way of understanding and explaining scientific progress, discoveries, and creativity. It demonstrates that a metaphysics of individual pure possibilities is indispensable for explaining and understanding mathematics and natural sciences. It examines the nature of individual pure possibilities, actualities, mind-dependent and mind-independent possibilities, as well as mathematical entities. It discusses in detail the singularity of each human being as a psychical possibility. It analyses striking scientific discoveries, and illustrates by means of examples of the usefulness and vitality of individual pure possibilities in the sciences.
The Joy Of Mathematics
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Author : Howard Burton
language : en
Publisher: Open Agenda Publishing
Release Date : 2021-04-24
The Joy Of Mathematics written by Howard Burton and has been published by Open Agenda Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-24 with Mathematics categories.
This book is based on an in-depth filmed conversation between Howard Burton and Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick and bestselling science and science fiction writer. For Ian Stewart, mathematics is far more than dreary arithmetic, while mathematical thinking is one of the most important—and overlooked—aspects of contemporary society. This wide-ranging conversation explores what mathematics is and why it's worth doing, symmetry, networks and patterns, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, linking mathematical oscillations to animal gaits, how to deal with the peculiarities of the mathematical community, and much more. This carefully-edited book includes an introduction, Counting Sheep, and questions for discussion at the end of each chapter: I. Fear and Loathing - Mathematics and the wider world II. Doing Mathematics - An insider’s view III. Teaching Mathematics - How to get unstuck and other valuable lessons IV. Mathematics and Gender - Portuguese mysteries V. Mathematics Everywhere - And widely underappreciated About Ideas Roadshow Conversations: Presented in an accessible, conversational format, Ideas Roadshow books not only explore frontline academic research but also reveal the inspirations and personal journeys behind the research.
Learning Discourse
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Author : C. Kieran
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Learning Discourse written by C. Kieran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Education categories.
The authors of this volume claim that mathematics can be usefully re-conceptualized as a special form of communication. As a result, the familiar discussion of mental schemes, misconceptions, and cognitive conflict is transformed into a consideration of activity, patterns of interaction, and communication failure. By equating thinking with communicating, the discursive approach also deconstructs the problematic dichotomy between "individual" and "social" research perspectives. Although each author applies his or her own analyses to the discourse generated by students and teachers grappling with mathematical problems, their joint aim is to put discursive research into the limelight and to spur thinking about its nature and its possible advantages and pitfalls. This volume is therefore addressed both to those interested in specific questions regarding classroom communication, and to those who are looking for a general conceptual lens with which to tackle the complexity of mathematical teaching and learning.