Research in History and Philosophy of Mathematics, Maria Zack; Elaine Landry
Автор: Maria Zack; Elaine Landry Название: Research in History and Philosophy of Mathematics ISBN: 3319432699 ISBN-13(EAN): 9783319432694 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Soci?t? Canadienne d’Histoire et de Philosophie des Math?matiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as
New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-?ajj?jWork done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equationsAn original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between themKey issues in the digital preservation of mathematical material for future generationsA look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical communityThe growth of Math Circles and the unique ways they are being implemented in the United States
Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
Автор: Hacking Название: Why Is There Philosophy of Mathematics At All? ISBN: 1107658152 ISBN-13(EAN): 9781107658158 Издательство: Cambridge Academ Рейтинг: Цена: 4118.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ian Hacking draws on cognitive sciences, evolutionary psychology, neurology, developmental psychology, and cognitive archaeology (tools and the mind) to explore how mathematics became possible, for a species like ours, on a planet like this. An innovative book for those studying logic, theory of knowledge, and philosophy of science.
Автор: Stephen Pollard Название: A Mathematical Prelude to the Philosophy of Mathematics ISBN: 3319058150 ISBN-13(EAN): 9783319058153 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book draws readers into the philosophy of mathematics by having them do mathematics. Coverage includes primitive recursive arithmetic, Godel`s theorems, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. Includes 298 exercises.
Автор: Weyl, Hermann Название: Philosophy of mathematics and natural science ISBN: 0691141207 ISBN-13(EAN): 9780691141206 Издательство: Wiley Рейтинг: Цена: 8712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Examines how advances in philosophy were led by scientific discoveries - the more humankind understood about the physical world, the more curious we became. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, this book helps readers understand science through the lens of philosophy.
Автор: Maria Zack; Dirk Schlimm Название: Research in History and Philosophy of Mathematics ISBN: 3319640925 ISBN-13(EAN): 9783319640921 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Soci t Canadienne d'Histoire et de Philosophie des Math matiques, held at the University of Calgary in Alberta, Canada.
In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzano's objections to Kant's philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17th Centuries. The remaining papers deal with the history of mathematics and cover such subjects as
Early schemes for polar ordinates in the work of L'H pital, based on lessons given to him by Bernoulli
A method devised by Euler for determining if a number is a sum of two squares
Playfair's Axiom and what it reveals about the history of 19th-Century mathematics education
The modern library classification system for mathematical subjects
An exploration of various examples of sundials throughout Paris
Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
Автор: Franklin Название: An Aristotelian Realist Philosophy of Mathematics ISBN: 1137400722 ISBN-13(EAN): 9781137400727 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematics is as much a science of the real world as biology is. It is the science of the world`s quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Описание: Paolo Mancosu presents an innovative set of studies of logic and the foundations of mathematics in the first half of the twentieth century. He sheds new light on important topics such as the relationship between phenomenology and the exact sciences, the nature of truth and logical consequence, and the nature of mathematical intuition.
Автор: Linnebo Oystein Название: Philosophy of Mathematics ISBN: 0691161402 ISBN-13(EAN): 9780691161402 Издательство: Wiley Рейтинг: Цена: 4752.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars
Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic yet accessible introduction to the field that is trying to answer that question: the philosophy of mathematics.
Written by Oystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book. Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Godel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.
Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics.
Автор: Tieszen Название: Phenomenology, Logic, and the Philosophy of Mathematics ISBN: 0521119987 ISBN-13(EAN): 9780521119986 Издательство: Cambridge Academ Рейтинг: Цена: 7445.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Автор: Hacking Название: Why Is There Philosophy of Mathematics At All? ISBN: 1107050170 ISBN-13(EAN): 9781107050174 Издательство: Cambridge Academ Рейтинг: Цена: 12355.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ian Hacking draws on cognitive sciences, evolutionary psychology, neurology, developmental psychology, and cognitive archaeology (tools and the mind) to explore how mathematics became possible, for a species like ours, on a planet like this. An innovative book for those studying logic, theory of knowledge, and philosophy of science.
Автор: Franklin, J. Название: Aristotelian realist philosophy of mathematics ISBN: 1349486183 ISBN-13(EAN): 9781349486182 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematics is as much a science of the real world as biology is. It is the science of the world`s quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Описание: The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s.
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