Mathematical Epistemology and Psychology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Epistemology and Psychology write by E.W. Beth. This book was released on 2013-03-09. Mathematical Epistemology and Psychology available in PDF, EPUB and Kindle. 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.
Mathematical Epistemology and Psychology
Mathematical Epistemology and Psychology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Epistemology and Psychology write by Evert Willem Beth. This book was released on 1966. Mathematical Epistemology and Psychology available in PDF, EPUB and Kindle.
Naturalizing Logico-Mathematical Knowledge
Naturalizing Logico-Mathematical Knowledge - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Naturalizing Logico-Mathematical Knowledge write by Sorin Bangu. This book was released on 2018-02-01. Naturalizing Logico-Mathematical Knowledge available in PDF, EPUB and Kindle. This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The question about this distinctive kind of knowledge is rooted in Plato’s dialogues, and virtually all major philosophers have expressed interest in it. The essays in this collection tackle this important philosophical query from the perspective of the modern sciences of cognition, namely cognitive psychology and neuroscience. Naturalizing Logico-Mathematical Knowledge contributes to consolidating a new, emerging direction in the philosophy of mathematics, which, while keeping the traditional concerns of this sub-discipline in sight, aims to engage with them in a scientifically-informed manner. A subsequent aim is to signal the philosophers’ willingness to enter into a fruitful dialogue with the community of cognitive scientists and psychologists by examining their methods and interpretive strategies.
Constructing Mathematical Knowledge
Constructing Mathematical Knowledge - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Constructing Mathematical Knowledge write by Paul Ernest. This book was released on 2012-10-12. Constructing Mathematical Knowledge available in PDF, EPUB and Kindle. First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.
Mathematical epistemology and psychology
Mathematical epistemology and psychology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical epistemology and psychology write by Evert W. Beth. This book was released on 1966. Mathematical epistemology and psychology available in PDF, EPUB and Kindle.
