Conceptual Roots Of Mathematics
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Conceptual Roots Of Mathematics
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Author : J.R. Lucas
language : en
Publisher: Routledge
Release Date : 2002-09-11
Conceptual Roots Of Mathematics written by J.R. Lucas and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Philosophy categories.
The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.
The Conceptual Roots Of Mathematics
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Author : J.R. Lucas
language : en
Publisher:
Release Date : 2005
The Conceptual Roots Of Mathematics written by J.R. Lucas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Conceptual Roots Of Mathematics
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Author : J.R. Lucas
language : en
Publisher: Routledge
Release Date : 2002-09-11
Conceptual Roots Of Mathematics written by J.R. Lucas and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Philosophy categories.
The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.
Postmodern Philosophy And The Scientific Turn
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Author : Dorothea E. Olkowski
language : en
Publisher: Indiana University Press
Release Date : 2012-04-23
Postmodern Philosophy And The Scientific Turn written by Dorothea E. Olkowski and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Philosophy categories.
A groundbreaking, interdisciplinary approach to the study of consciousness: “Beautifully written, engaging throughout, and captivating” (Claire Colebrook, The Pennsylvania State University). What can come of a scientific engagement with postmodern philosophy? Some scientists have claimed that the social sciences and humanities have nothing to contribute, except perhaps peripherally, to their research. Dorothea E. Olkowski shows that mathematics itself—the historic link between science and philosophy—plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its usage and expression of worldview, she develops a phenomenological account of human thought and action to explicate the role of philosophy in the sciences. Olkowski proposes a model of phenomenology, both scientific and philosophical, that helps make sense of reality and composes an ethics for dealing with unpredictability in our world.
Concept Mapping In Mathematics
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Author : Karoline Afamasaga-Fuata'i
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21
Concept Mapping In Mathematics written by Karoline Afamasaga-Fuata'i 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 2009-04-21 with Education categories.
Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.
Applying Mathematics
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Author : Otávio Bueno
language : en
Publisher: Oxford University Press
Release Date : 2018-05-30
Applying Mathematics written by Otávio Bueno 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 2018-05-30 with Science categories.
How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effectiveness of mathematics' sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character, whereas others have pointed to the range of structures that mathematics offers. Otávio Bueno and Steven French offer a middle way, which focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics, which is formulated in terms of immersion, inference, and interpretation. In particular, the roles of idealisations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasize the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics, and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.
Badiou S Being And Event
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Author : Christopher Norris
language : en
Publisher: Bloomsbury Publishing
Release Date : 2009-05-24
Badiou S Being And Event written by Christopher Norris and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-24 with Philosophy categories.
Alain Badiou's Being and Event is the most original and significant work of French philosophy to have appeared in recent decades. It is the magnum opus of a thinker who is widely considered to have re-shaped the character and set new terms for the future development of philosophy in France and elsewhere. This book has been written very much with a view to clarifying Badiou's complex and demanding work for non-specialist readers. It offers guidance on philosophical and intellectual context, key themes, reading the text, reception and influence; and further reading.
Differences
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Author : Emily Parker
language : en
Publisher: Oxford University Press
Release Date : 2018
Differences written by Emily Parker 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 2018 with Literary Criticism categories.
Simone de Beauvoir and Luce Irigaray famously insisted on their philosophical differences, and this mutual insistence has largely guided the reception of their thought. What does it mean to return to Simone de Beauvoir and Luce Irigaray in light of questions and problems of contemporary feminism, including intersectional and queer criticisms of their projects? How should we now take up, amplify, and surpass the horizons opened by their projects? Seeking answers to these questions, the essays in this volume return to Beauvoir and Irigaray to find what the two philosophers share. And as the authors make clear, the richness of Beauvoir and Irigaray's thought far exceeds the reductive parameters of the Eurocentric, bourgeois second-wave debates that have constrained interpretation of their work. The first section of this volume places Beauvoir and Irigaray in critical dialogue, exploring the place of the material and the corporeal in Beauvoir's thought and, in doing so, reading Beauvoir in a framework that goes beyond a theory of gender and the humanism of phenomenology. The essays in the second section of the volume take up the challenge of articulating points of dialogue between the two focal philosophers in logic, ethics, and politics. Combined, these essays resituate Beauvoir and Irigaray's work both historically and in light of contemporary demands, breaking new ground in feminist philosophy.
European Traditions In Didactics Of Mathematics
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Author : Werner Blum
language : en
Publisher: Springer
Release Date : 2019-02-18
European Traditions In Didactics Of Mathematics written by Werner Blum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-18 with Education categories.
This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.
Reason Causation And Compatibility With The Phenomena
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Author : Basil Evangelidis
language : en
Publisher: Vernon Press
Release Date : 2020-01-24
Reason Causation And Compatibility With The Phenomena written by Basil Evangelidis and has been published by Vernon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-24 with Science categories.
'Reason, Causation and Compatibility with the Phenomena' strives to give answers to the philosophical problem of the interplay between realism, explanation and experience. This book is a compilation of essays that recollect significant conceptions of rival terms such as determinism and freedom, reason and appearance, power and knowledge. This title discusses the progress made in epistemology and natural philosophy, especially the steps that led from the ancient theory of atomism to the modern quantum theory, and from mathematization to analytic philosophy. Moreover, it provides possible gateways from modern deadlocks of theory either through approaches to consciousness or through historical critique of intellectual authorities. This work will be of interest to those either researching or studying in colleges and universities, especially in the departments of philosophy, history of science, philosophy of science, philosophy of physics and quantum mechanics, history of ideas and culture. Greek and Latin Literature students and instructors may also find this book to be both a fascinating and valuable point of reference.