Concise History of Mathematics for Philosophers ., Stillwell John

Автор: Magee, Bryan
Название: The Great Philosophers
ISBN: 019289322X ISBN-13(EAN): 9780192893222
Издательство: Oxford Academ
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Цена: 14770.00 T
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Описание: Beginning with the death of Socrates in 399, and following the story through the centuries to more recent figures such as Bertrand Russell and Wittgenstein, Bryan Magee and fifteen contemporary writers and philosophers provide an accessible and exciting introduction to Western philosophy and its greatest thinkers.

Автор: Petr Hajek
Название: Metamathematics of First-Order Arithmetic
ISBN: 1107168414 ISBN-13(EAN): 9781107168411
Издательство: Cambridge Academ
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Цена: 111620.00 T
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Описание: This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.

Автор: John Stillwell
Название: Mathematics and Its History
ISBN: 1461426324 ISBN-13(EAN): 9781461426325
Издательство: Springer
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Цена: 51200.00 T
Наличие на складе: Поставка под заказ.
Описание: From a review of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations.

Автор: Hassan Tahiri
Название: The Philosophers and Mathematics
ISBN: 3030067122 ISBN-13(EAN): 9783030067120
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Поставка под заказ.
Описание: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements.The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Автор: Marder Michael
Название: The Philosopher`s Plant: An Intellectual Herbarium
ISBN: 0231169035 ISBN-13(EAN): 9780231169035
Издательство: Wiley
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Цена: 23230.00 T
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Описание: A secret history of philosophy grafting theory onto science, combining art and storytelling to bring Western thought back to its roots.

Автор: Maddy Penelope
Название: What Do Philosophers Do?
ISBN: 0190618698 ISBN-13(EAN): 9780190618698
Издательство: Oxford Academ
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Цена: 35890.00 T
Наличие на складе: Невозможна поставка.
Описание: What Do Philosophers Do? takes up the leading arguments for radical skepticism from an everyday point of view. A range of philosophical methods are examined and employed, for a revealing portrait of what philosophers do, and perhaps a quiet suggestion for what they should do, for what they do best.

Автор: Grau, Christopher
Название: Philosophers Explore The Matrix
ISBN: 0195181077 ISBN-13(EAN): 9780195181074
Издательство: Oxford Academ
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Цена: 39060.00 T
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Описание: Presents a collection of essays about some of the powerful and ancient questions broached by "The Matrix" and its sequels. This book is suitable for fans of the films who want to delve deeper into their themes, as well as any student of philosophy who desires an accessible entry into this challenging and profoundly vital world of ideas.

Автор: Friedman, Michael.
Название: A history of folding in mathematics :
ISBN: 331972486X ISBN-13(EAN): 9783319724867
Издательство: Springer
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Цена: 204970.00 T
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Описание: While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised?Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete.In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.

Автор: Stillwell John
Название: Reverse Mathematics: Proofs from the Inside Out
ISBN: 0691177171 ISBN-13(EAN): 9780691177175
Издательство: Wiley
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Цена: 23230.00 T
Наличие на складе: Поставка под заказ.
Описание:

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic.

Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the "right axiom" to prove it.

By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.

Автор: Hassan Tahiri
Название: The Philosophers and Mathematics
ISBN: 3319937324 ISBN-13(EAN): 9783319937328
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Поставка под заказ.
Описание: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements.The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Автор: Moore Christopher
Название: Calling Philosophers Names: On the Origin of a Discipline
ISBN: 0691195056 ISBN-13(EAN): 9780691195056
Издательство: Wiley
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Цена: 44350.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

An original and provocative book that illuminates the origins of philosophy in ancient Greece by revealing the surprising early meanings of the word "philosopher"

Calling Philosophers Names provides a groundbreaking account of the origins of the term philosophos or "philosopher" in ancient Greece. Tracing the evolution of the word's meaning over its first two centuries, Christopher Moore shows how it first referred to aspiring political sages and advice-givers, then to avid conversationalists about virtue, and finally to disciplinary investigators who focused on the scope and conditions of those conversations. Questioning the familiar view that philosophers from the beginning "loved wisdom" or merely "cultivated their intellect," Moore shows that they were instead mocked as laughably unrealistic for thinking that their incessant talking and study would earn them social status or political and moral authority.

Taking a new approach to the history of early Greek philosophy, Calling Philosophers Names seeks to understand who were called philosophoi or "philosophers," and why, and how the use of and reflections on the word contributed to the rise of a discipline. Drawing on a wide range of evidence, the book demonstrates that a word that began in part as a wry reference to a far-flung political bloc, came, hardly a century later, to mean a life of determined self-improvement based on research, reflection, and deliberation. Early philosophy dedicated itself to justifying its own dubious-seeming enterprise. And this original impulse to seek legitimacy holds novel implications for understanding the history of the discipline and its influence.

Автор: Ge Mo-Lin Et Al
Название: Fifty Years Of Mathematical Physics: Selected Works Of Ludwig Faddeev
ISBN: 9813109335 ISBN-13(EAN): 9789813109339
Издательство: World Scientific Publishing
Цена: 80080.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This Unique Volume Summarizes With A Historical Perspective Several Of The Major Scientific Achievements Of Ludwig Faddeev, With A Foreword By Nobel Laureate C N Yang. The Volume That Spans Over Fifty Years Of Faddeev'S Career Begins Where He Started His Own Scientific Research, In The Subject Of Scattering Theory And The Three-Body Problem. It Then Continues To Describe Faddeev'S Contributions To Automorphic Functions, Followed By An Extensive Account Of His Many Fundamental Contributions To Quantum Field Theory Including His Original Article On Ghosts With Popov. Faddeev'S Contributions To Soliton Theory And Integrable Models Are Then Described, Followed By A Survey Of His Work On Quantum Groups. The Final Scientific Section Is Devoted To Faddeev'S Contemporary Research Including Articles On His Long-Term Interest In Constructing Knotted Solitons And Understanding Confinement. The Volume Concludes With His Personal View On Science And Mathematical Physics In Particular.