La philosophie de l'algébre: Recherches sur quelques concepts et méthodes de l'algebre moderne PDF Download
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Author: Jules Vuillemin
Publisher:
ISBN:
Category : Algebra
Languages : fr
Pages : 600
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Book Description
Author: Jules Vuillemin
Publisher:
ISBN:
Category : Algebra
Languages : fr
Pages : 600
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Book Description
Author: C. Sasaki
Publisher: Springer Science & Business Media
ISBN: 9401712255
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221
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Book Description
Author: Hassan Tahiri
Publisher: Springer
ISBN: 3319937332
Category : Mathematics
Languages : en
Pages : 357
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Book Description
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.
Author: Daniel Parrochia
Publisher: John Wiley & Sons
ISBN: 1119527791
Category : Philosophy
Languages : en
Pages : 358
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Book Description
This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).
Author: Vera Bühlmann
Publisher: Bloomsbury Publishing
ISBN: 1350019755
Category : Computers
Languages : en
Pages : 372
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Book Description
This book introduces the reader to Serres' unique manner of 'doing philosophy' that can be traced throughout his entire oeuvre: namely as a novel manner of bearing witness. It explores how Serres takes note of a range of epistemologically unsettling situations, which he understands as arising from the short-circuit of a proprietary notion of capital with a praxis of science that commits itself to a form of reasoning which privileges the most direct path (simple method) in order to expend minimal efforts while pursuing maximal efficiency. In Serres' universal economy, value is considered as a function of rarity, not as a stock of resources. This book demonstrates how Michel Serres has developed an architectonics that is coefficient with nature. Mathematic and Information in the Philosophy of Michel Serres acquaints the reader with Serres' monist manner of addressing the universality and the power of knowledge – that is at once also the anonymous and empty faculty of incandescent, inventive thought. The chapters of the book demarcate, problematize and contextualize some of the epistemologically unsettling situations Serres addresses, whilst also examining the particular manner in which he responds to and converses with these situations.
Author: Klaus Mainzer
Publisher: Walter de Gruyter
ISBN: 3110886936
Category : Philosophy
Languages : en
Pages : 696
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Book Description
Author: Arkady Plotnitsky
Publisher: Springer Nature
ISBN: 3031136780
Category : Mathematics
Languages : en
Pages : 307
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Book Description
This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics. The first aspect is conceptual, which characterizes mathematics as the invention of and working with concepts, rather than only by its logical nature. The second, Pythagorean, aspect is grounded, first, in the interplay of geometry and algebra in modern mathematics, and secondly, in the epistemologically most radical form of modern mathematics, designated in this study as radical Pythagorean mathematics. This form of mathematics is defined by the role of that which beyond the limits of thought in mathematical thinking, or in ancient Greek terms, used in the book’s title, an alogon in the logos of mathematics. The outcome of this investigation is a new philosophical and historical understanding of the nature of modern mathematics and mathematics in general. The book is addressed to mathematicians, mathematical physicists, and philosophers and historians of mathematics, and graduate students in these fields.
Author: Ludger Hovestadt
Publisher: Birkhäuser
ISBN: 3990435787
Category : Design
Languages : en
Pages : 224
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Book Description
domesticating symbols looks at the entropic dissolution of symbolic structures we are experiencing today and explores various approaches towards learning to create code. Photovoltaics and its capacity to capture energy by coding instead of exploitation of resources, and of integrating in additional or surplus quantities of energy into the ecosphere of the planet‘s natural balance is the central focus of this publication. Energythereby also encompasses the genuinely abstract format of electricity, which makes it possible to convert any form of energy into any other form. This is the second volume of the Applied Virtuality book series based on the Metalithicum Conferences by the Laboratory of Applied Virtuality at the Chair for Computer Aided Architectural Design, Swiss Federal Institute of Technology (ETH) Zurich.
Author: Rosi Braidotti
Publisher: Bloomsbury Publishing
ISBN: 1350030236
Category : Philosophy
Languages : en
Pages : 577
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Book Description
If art, science, and the humanities have shared one thing, it was their common engagement with constructions and representations of the human. Under the pressure of new contemporary concerns, however, we are experiencing a “posthuman condition”; the combination of new developments-such as the neoliberal economics of global capitalism, migration, technological advances, environmental destruction on a mass scale, the perpetual war on terror and extensive security systems- with a troublesome reiteration of old, unresolved problems that mean the concept of the human as we had previously known it has undergone dramatic transformations. The Posthuman Glossary is a volume providing an outline of the critical terms of posthumanity in present-day artistic and intellectual work. It builds on the broad thematic topics of Anthropocene/Capitalocene, eco-sophies, digital activism, algorithmic cultures and security and the inhuman. It outlines potential artistic, intellectual, and activist itineraries of working through the complex reality of the 'posthuman condition', and creates an understanding of the altered meanings of art vis-à-vis critical present-day developments. It bridges missing links across disciplines, terminologies, constituencies and critical communities. This original work will unlock the terms of the posthuman for students and researchers alike.
