Mathematics Science And Epistemology
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Mathematics Science And Epistemology
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Author : Imre Lakatos
language : en
Publisher: Cambridge University Press
Release Date : 1978
Mathematics Science And Epistemology written by Imre Lakatos and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Bilim- Araştırma- Metodoloji categories.
Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.
Algorithms And Complexity In Mathematics Epistemology And Science
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Author : Nicolas Fillion
language : en
Publisher: Springer
Release Date : 2019-02-07
Algorithms And Complexity In Mathematics Epistemology And Science written by Nicolas Fillion and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Mathematics categories.
ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a multidisciplinary conference series that focuses on epistemological and mathematical issues relating to computation in modern science. This volume includes a selection of papers presented at the 2015 and 2016 conferences held at Western University that provide an interdisciplinary outlook on modern applied mathematics that draws from theory and practice, and situates it in proper context. These papers come from leading mathematicians, computational scientists, and philosophers of science, and cover a broad collection of mathematical and philosophical topics, including numerical analysis and its underlying philosophy, computer algebra, reliability and uncertainty quantification, computation and complexity theory, combinatorics, error analysis, perturbation theory, experimental mathematics, scientific epistemology, and foundations of mathematics. By bringing together contributions from researchers who approach the mathematical sciences from different perspectives, the volume will further readers' understanding of the multifaceted role of mathematics in modern science, informed by the state of the art in mathematics, scientific computing, and current modeling techniques.
Philosophical Papers Mathematics Science And Epistemology
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Author : Imre Lakatos
language : en
Publisher:
Release Date : 1978
Philosophical Papers Mathematics Science And Epistemology written by Imre Lakatos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Science categories.
Mathematics And Scientific Representation
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Author : Christopher Pincock
language : en
Publisher: Oxford University Press
Release Date : 2012-01-13
Mathematics And Scientific Representation written by Christopher Pincock 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 2012-01-13 with Philosophy categories.
Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of a scientific representation. Several different sorts of contributions from mathematics are then articulated. Pincock argues that each contribution can be understood as broadly epistemic, so that what mathematics ultimately contributes to science is best connected with our scientific knowledge. In the second part of the book, Pincock critically evaluates alternative approaches to the role of mathematics in science. These include the potential benefits for scientific discovery and scientific explanation. A major focus of this part of the book is the indispensability argument for mathematical platonism. Using the results of part one, Pincock argues that this argument can at best support a weak form of realism about the truth-value of the statements of mathematics. The book concludes with a chapter on pure mathematics and the remaining options for making sense of its interpretation and epistemology. Thoroughly grounded in case studies drawn from scientific practice, this book aims to bring together current debates in both the philosophy of mathematics and the philosophy of science and to demonstrate the philosophical importance of applications of mathematics.
Personal Epistemology
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Author : Barbara K. Hofer
language : en
Publisher: Routledge
Release Date : 2012-08-21
Personal Epistemology written by Barbara K. Hofer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-21 with Education categories.
This is the first book to provide a comprehensive overview of the theoretical and methodological approaches to the study of personal epistemology from a psychological and educational perspective. Both theory building and empirical research have grown dramatically in the past decade but, until now, this work has not been pulled together in a single volume. That is the mission of this volume whose state-of-the-art theory and research are likely to define the field for the next 20 years. Key features of this important new book include: *Pioneering Contributors--The book provides current perspectives of each of the major theoreticians and researchers who pioneered this growing field, as well as contributions from new researchers. *Diverse Perspectives--The contributors represent a variety of perspectives, including education, educational psychology, developmental psychology, higher education, and science and mathematics education. *Editorial Integration--Opening and closing chapters by the editors set out key issues confronting the field.
Theorems In School
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Author : Paolo Boero
language : en
Publisher: Sense Publishers
Release Date : 2007
Theorems In School written by Paolo Boero and has been published by Sense Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.
This book, addressing mathematics educators, teacher-trainers and teachers, is published as a contribution to the endeavour of renewing the teaching of proof (and theorems) on the basis of historical-epistemological, cognitive and didactical considerations.
Logic Epistemology And The Unity Of Science
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-10-25
Logic Epistemology And The Unity Of Science written by Shahid Rahman 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 2004-10-25 with Philosophy categories.
This is the first volume in a series aimed at considering the scientific enterprise in light of recent developments in logic and philosophy. This work explores new ways of achieving the integration of science in all its diversity.
Mathematical Epistemology And Psychology
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Author : E.W. Beth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Mathematical Epistemology And Psychology written by E.W. Beth 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 2013-03-09 with Language Arts & Disciplines categories.
One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth's approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.
The Unity Of Science In The Arabic Tradition
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-15
The Unity Of Science In The Arabic Tradition written by Shahid Rahman 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 2008-07-15 with Science categories.
the demise of the logical positivism programme. The answers given to these qu- tions have deepened the already existing gap between philosophy and the history and practice of science. While the positivists argued for a spontaneous, steady and continuous growth of scientific knowledge the post-positivists make a strong case for a fundamental discontinuity in the development of science which can only be explained by extrascientific factors. The political, social and cultural environment, the argument goes on, determine both the questions and the terms in which they should be answered. Accordingly, the sociological and historical interpretation - volves in fact two kinds of discontinuity which are closely related: the discontinuity of science as such and the discontinuity of the more inclusive political and social context of its development. More precisely it explains the discontinuity of the former by the discontinuity of the latter subordinating in effect the history of science to the wider political and social history. The underlying idea is that each historical and - cial context generates scientific and philosophical questions of its own. From this point of view the question surrounding the nature of knowledge and its development are entirely new topics typical of the twentieth-century social context reflecting both the level and the scale of the development of science.
Metaphysical Myths Mathematical Practice
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Author : Jody Azzouni
language : en
Publisher: Cambridge University Press
Release Date : 1994-02-25
Metaphysical Myths Mathematical Practice written by Jody Azzouni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-25 with Mathematics categories.
This original and exciting study offers a completely new perspective on the philosophy of mathematics. Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things at all. Jody Azzouni argues that mathematical knowledge is a special kind of knowledge that must be gathered in its own unique way. He analyzes the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics sensitive both to mathematical practice and to the ontological and epistemological issues that concern philosophers. The book will be of special interest to philosophers of science, mathematics, logic, and language. It should also interest mathematicians themselves.