An exploration of the scientific limits of knowledge that challenges our deep-seated beliefs about our universe, our rationality, and ourselves.
Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.
Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.
Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Описание: In The World Upside Down in 16th Century French Literature and Visual Culture Vincent Robert-Nicoud offers an interdisciplinary account of the topos of the world upside down in early modern France. To call something ‘topsy-turvy’ in the sixteenth century is to label it as abnormal. The topos of the world upside down evokes a world in which everything is inside-out and out of bounds: fish live in trees, children rule over their parents, and rivers flow back to their source. The world upside down proves to be key in understanding how the social, political, and religious turmoil of sixteenth-century France was represented and conceptualised, and allows us to explore the dark side of the Renaissance by unpacking one of its most prevalent metaphors.
Название: History of the history of mathematics ISBN: 303430708X ISBN-13(EAN): 9783034307086 Издательство: Peter Lang Рейтинг: Цена: 8593.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: At a time of increasing interest in the history of mathematics, this book presents seven case studies illustrating the different ways that mathematical histories have been written since the seventeenth century, ranging from the `historia` of John Wallis to the re-presentation of Thomas Harriot`s manuscripts online.
Описание: A second volume of papers on Thomas Harriot that is based on the annual Harriot lectures delivered at Oriel College, Oxford between 2000 and 2009. It complements the previous volume, published as "Thomas Harriot".
Автор: Rashed Roshdi Название: Classical Mathematics from Al-Khwarizmi to Descartes ISBN: 0415833884 ISBN-13(EAN): 9780415833882 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat.
Автор: Stillwell John Название: Reverse Mathematics: Proofs from the Inside Out ISBN: 0691177171 ISBN-13(EAN): 9780691177175 Издательство: Wiley Рейтинг: Цена: 3485.00 р. 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.
Based on a sweeping range of archival, visual, and material evidence, Wild Frenchmen and Frenchified Indians examines perceptions of Indians in French colonial Louisiana and demonstrates that material culture—especially dress—was central to the elaboration of discourses about race. At the heart of France's seventeenth-century plans for colonizing New France was a formal policy—Frenchification. Intended to turn Indians into Catholic subjects of the king, it also carried with it the belief that Indians could become French through religion, language, and culture. This fluid and mutable conception of identity carried a risk: while Indians had the potential to become French, the French could themselves be transformed into Indians. French officials had effectively admitted defeat of their policy by the time Louisiana became a province of New France in 1682. But it was here, in Upper Louisiana, that proponents of French-Indian intermarriage finally claimed some success with Frenchification. For supporters, proof of the policy's success lay in the appearance and material possessions of Indian wives and daughters of Frenchmen. Through a sophisticated interdisciplinary approach to the material sources, Wild Frenchmen and Frenchified Indians offers a distinctive and original reading of the contours and chronology of racialization in early America. While focused on Louisiana, the methodological model offered in this innovative book shows that dress can take center stage in the investigation of colonial societies—for the process of colonization was built on encounters mediated by appearance.
Автор: Phillippy Patricia Название: A History of Early Modern Women`s Writing ISBN: 1107137063 ISBN-13(EAN): 9781107137066 Издательство: Cambridge Academ Рейтинг: Цена: 20275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains expansive, multifaceted narrative of British women`s literary and textual production from the Reformation to the Restoration.
Описание: In Jacopo Strada and Cultural Patronage at the Imperial Court: Antiquity as Innovation, Dirk Jansen provides a survey of the life and career of the antiquary, architect, and courtier Jacopo Strada (Mantua 1515-Vienna 1588). His manifold activities -- also as a publisher and as an agent and artistic and scholarly advisor of powerful patrons such as Hans Jakob Fugger, the Duke of Bavaria and the Emperors Ferdinand I and Maximilian II -- are examined in detail, and studied within the context of the cosmopolitan learned and courtly environments in which he moved. These volumes offer a substantial reassessment of Strada's importance as an agent of change, transmitting the ideas and artistic language of the Italian Renaissance to the North.
Автор: Friedman, Michael. Название: A history of folding in mathematics : ISBN: 331972486X ISBN-13(EAN): 9783319724867 Издательство: Springer Рейтинг: Цена: 30745.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
