Selected Essays On Pre And Early Modern Mathematical Practice

Author by : Jens Høyrup
Languange : en
Publisher by : Springer Nature
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Description : This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.


Minerva Meets Vulcan Scientific And Technological Literature 1450 1750

Author by : Wolfgang Lefèvre
Languange : en
Publisher by : Springer Nature
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Description : This book offers a comprehensive account of the co-evolution of technological and scientific literature in the early modern period (1450-1750). It examines the various relationships of these literatures in six areas of knowledge Architecture, Chemistry, Gunnery, Mechanical Engineering, Mining, and Practical Mathematics which represent the main types of advanced technological and scientific knowledge of the era. In this way, the volume tries to convey a new idea of the variety and disunity of the early modern interrelations and interactions between learned and practical knowledge. The book will be primarily of interest to historians of science and technology and can serve as a textbook in these fields of study. Since the book addresses fundamental aspects of the significance that the emergence and development of the modern natural and technological sciences have for the self-image of the West, it will also be of interest to a wider readership.


The New Yearbook For Phenomenology And Phenomenological Philosophy

Author by : Burt Hopkins
Languange : en
Publisher by : Routledge
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Description : Volume XVIII Special Issue: Gian-Carlo Rota and The End of Objectivity, 2019 Aim and Scope: The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer. Contributors: Gabriele Baratelli, Stefania Centrone, Giovanna C. Cifoletti, Jean-Marie Coquard, Steven Crowell, Deborah De Rosa, Daniele De Santis, Nicolas de Warren, Agnese Di Riccio, Aurélien Djian, Yuval Dolev, Mirja Hartimo, Burt C. Hopkins, Talia Leven, Ah Hyun Moon, Luis Niel, Fabrizio Palombi, Mario Ariel González Porta, Gian-Carlo Rota, Michael Roubach, Franco Trabattoni and Michele Vagnetti. Submissions: Manuscripts, prepared for blind review, should be submitted to the Editors ([email protected] and [email protected]edu) electronically via e-mail attachments.


Selected Essays By Frank H Knight Volume 1

Author by : Frank H. Knight
Languange : en
Publisher by : University of Chicago Press
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Description : Frank H. Knight (1885-1972) was a central figure—many say the dominant influence—in the development of the "Chicago School of Economics" at the University of Chicago in the 1930s and 1940s, where he taught future Nobel laureates Milton Friedman, James Buchanan, George Stigler, and many other notable scholars. It was Knight's embedded skepticism about the reach of economic knowledge that set the stage for the laissez-faire economics that matured at the University in the 1950s and 1960s. But as important as Knight's technical economic contributions were, he never strayed far from his broad philosophical interests and concern for the state of modern liberal democracy. Ross B. Emmett's selection of Knight's essays is the first to offer a comprehensive picture of the work of this notable social scientist over the span of his career. Included are not only Knight's most influential writings, but also a number of uncollected papers which have not previously been widely accessible. These essays illustrate Knight's views on the central debates regarding economics, social science, ethics, education, and modern liberalism. Volume 1: "What is Truth" in Economics? contains fifteen of Knight's papers up through 1940. Volume 2: Laissez Faire: Pro and Con includes fourteen of Knight's papers from 1940 through 1967, including "Socialism: The Nature of the Problem" and "The Sickness of Liberal Society." These twenty-nine essays together stand not only as a monument to one of economics' most significant and original thinkers, but will also serve as an invaluable resource for economists, philosophers, and political scientists interested in the development of the western liberal tradition.


Intuition And The Axiomatic Method

Author by : Emily Carson
Languange : en
Publisher by : Springer Science & Business Media
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Description : Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant’s theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, Gödel, Poincaré, Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and they had very different accounts of what they called intuition. But they had in common that their views of mathematics and physics were significantly influenced by their readings of Kant. In the present volume, various views of intuition and the axiomatic method are explored, beginning with Kant’s own approach. By way of these investigations, we hope to understand better the rationale behind Kant’s theory of intuition, as well as to grasp many facets of the relations between theories of intuition and the axiomatic method, dealing with both their strengths and limitations; in short, the volume covers logical and non-logical, historical and systematic issues in both mathematics and physics.


The Architecture Of Modern Mathematics

Author by : J. Ferreiros
Languange : en
Publisher by : OUP Oxford
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Description : This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.


In Measure Number And Weight

Author by : Jens Høyrup
Languange : en
Publisher by : SUNY Press
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Description : Jens Hoyrup, recognized as the leading authority in social studies of pre-modern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context. Hoyrup moves from comparing features of Sumero-Babylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge.


Pleasure And Leisure In The Middle Ages And Early Modern Age

Author by : Albrecht Classen
Languange : en
Publisher by : Walter de Gruyter GmbH & Co KG
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Total Read : 37
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Description : Jan Huizinga and Roger Caillois have already taught us to realize how important games and play have been for pre-modern civilization. Recent research has begun to acknowledge the fundamental importance of these aspects in cultural, religious, philosophical, and literary terms. This volume expands on the traditional approach still very much focused on the materiality of game (toys, cards, dice, falcons, dolls, etc.) and acknowledges that game constituted also a form of coming to terms with human existence in an unstable and volatile world determined by universal randomness and fortune. Whether considering blessings or horse fighting, falconry or card games, playing with dice or dolls, we can gain a much deeper understanding of medieval and early modern society when we consider how people pursued pleasure and how they structured their leisure time. The contributions examine a wide gamut of approaches to pleasure, considering health issues, eroticism, tournaments, playing music, reading and listening, drinking alcohol, gambling and throwing dice. This large issue was also relevant, of course, in non-Christian societies, and constitutes a critical concern both for the past and the present because we are all homines ludentes.


Abduction In Context

Author by : Woosuk Park
Languange : en
Publisher by : Springer
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Description : This book offers a novel perspective on abduction. It starts by discussing the major theories of abduction, focusing on the hybrid nature of abduction as both inference and intuition. It reports on the Peircean theory of abduction and discusses the more recent Magnani concept of animal abduction, connecting them to the work of medieval philosophers. Building on Magnani's manipulative abduction, the accompanying classification of abduction, and the hybrid concept of abduction as both inference and intuition, the book examines the problem of visual perception together with the related concepts of misrepresentation and semantic information. It presents the author's views on caricature and the caricature model of science, and then extends the scope of discussion by introducing some standard issues in the philosophy of science. By discussing the concept of ad hoc hypothesis generation as enthymeme resolution, it demonstrates how ubiquitous the problem of abduction is in all the different individual scientific disciplines. This comprehensive text provides philosophers, logicians and cognitive scientists with a historical, unified and authoritative perspective on abduction.


Logic Meaning And Computation

Author by : C. Anthony Anderson
Languange : en
Publisher by : Springer Science & Business Media
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Description : This volume began as a remembrance of Alonzo Church while he was still with us and is now finally complete. It contains papers by many well-known scholars, most of whom have been directly influenced by Church's own work. Often the emphasis is on foundational issues in logic, mathematics, computation, and philosophy - as was the case with Church's contributions, now universally recognized as having been of profound fundamental significance in those areas. The volume will be of interest to logicians, computer scientists, philosophers, and linguists. The contributions concern classical first-order logic, higher-order logic, non-classical theories of implication, set theories with universal sets, the logical and semantical paradoxes, the lambda-calculus, especially as it is used in computation, philosophical issues about meaning and ontology in the abstract sciences and in natural language, and much else. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields.


Nicholas Of Cusa And The Making Of The Early Modern World

Author by : Anonim
Languange : en
Publisher by : BRILL
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Description : The authors focus on four major thematic areas – the reform of church, the reform of theology, the reform of perspective, and the reform of method – which together encompasses the breadth and depth of Cusanus’ own reform initiatives.


Collected Essays In Architectural Criticism

Author by : Alan Colquhoun
Languange : en
Publisher by : Artifice Incorporated
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Description : Collected Essays in Architectural Criticism is an indispensable anthology of writing by one of the most important voices in architectural theory of the last 50 years. Born in 1921, Colquhoun graduated from the Architectural Association in 1949. Currently Professor Emeritus of Architecture at Princeton University, he has taught at the AA, Cornell University and University College Dublin, among many other schools of architecture. He is the author of several books including the seminal Essays in Architectural Criticism, 1981, Modernity and the Classical Tradition, 1991, (both republished here in their entirety) and The Oxford History of Modern Architecture, 2002. This book includes essays from throughout Colquhoun's distinguished career. In his early writing Colquhoun subjects modern architecture to a far more thorough reading than was then customary. His meticulous evaluation of Modernism raised the standard of architectural historiography and has influenced new directions in theory and practice ever since. Collected Essays in Architectural Criticism encompasses the clarity of style and rigorous, erudite analysis that Colquhoun has brought to bear on a diverse range of subjects, including Le Corbusier, Robert Venturi and Denise Scott Brown, the Pompidou Centre, Postmodernism and the design of museums. 180 colour & b'w illustrations


Mathematics As Metaphor

Author by : I͡U. I. Manin
Languange : en
Publisher by : American Mathematical Soc.
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Description : The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay on the mythological trickster figure, where the evolutionary role of manipulative behavior is discussed in connection with the problem of the origin of human language. With the foreword by Freeman Dyson, this book will be of interest to anyone interested in the philosophy and history of mathematics, physics, and linguistics.


Professors Physicians And Practices In The History Of Medicine

Author by : Gideon Manning
Languange : en
Publisher by : Springer
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Description : This book presents essays by eminent scholars from across the history of medicine, early science and European history, including those expert on the history of the book. The volume honors Professor Nancy Siraisi and reflects the impact that Siraisi's scholarship has had on a range of fields. Contributions address several topics ranging from the medical provenance of biblical commentary to the early modern emergence of pathological medicine. Along the way, readers may learn of the purchasing habits of physician-book collectors, the writing of history and the development of natural history. Modeling the interdisciplinary approaches championed by Siraisi, this volume attests to the enduring value of her scholarship while also highlighting critical areas of future research. Those with an interest in the history of science, the history of medicine and all related fields will find this work a stimulating and rewarding read.


Mathematical Reviews

Author by : Anonim
Languange : en
Publisher by : Unknown
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Philosophy Begins In Wonder

Author by : Michael Funk Deckard
Languange : en
Publisher by : ISD LLC
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Description : Philosophy begins with wonder, according to Plato and Aristotle. Yet Plato and Aristotle did not expand a great deal on what precisely wonder is. Does this fact alone not raise curiosity in us as to why this passion or concept is important? What is wonder's role in science, philosophy, or theology except to end thinking or theorizing as soon as one begins? The primary purpose of this book is to show how seventeenth- and eighteenth-century developments in natural theology, metaphysics, epistemology, ethics, aesthetics, and the philosophy of science resulted in a complex history of the passion of wonder-a history in which the elements of continuation, criticism, and reformulation are equally present. Philosophy Begins in Wonder provides the first historical overview of wonder and changes the way we see early modern Europe. It is intended for readers who are curious-who wonder-about how modern philosophy and science were born. The book is for scholars and educated readers alike.


Crime Law And Society

Author by : MalcolmM. Feeley
Languange : en
Publisher by : Routledge
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Description : Malcolm Feeley?s work is well-known to scholars around the world and has influenced two generations of criminologists and legal scholars. He has written extensively on crime and the legal process and has published numerous articles in law, history, social science and philosophy journals; two of his books, The Process is the Punishment and Court Reform on Trials, have won awards. This volume brings together many of his better-known articles and essays, as well as some of his lesser-known but nevertheless important contributions, all of which share the common theme of the value of the rule of law, albeit a more sophisticated concept than is commonly embraced. The selections also reveal the full range of his interests and the way in which his research interests have developed.


In The Light Of Logic

Author by : Solomon Feferman
Languange : en
Publisher by : Oxford University Press
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Description : In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.


Imagined Civilizations

Author by : Roger Hart
Languange : en
Publisher by : JHU Press
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Description : While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.


Envisioning Others Race Color And The Visual In Iberia And Latin America

Author by : Anonim
Languange : en
Publisher by : BRILL
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Description : Envisioning Others offers a multidisciplinary view of the relationship between race and visual culture in the Spanish- and Portuguese-speaking world, from the kingdoms of Spain and Portugal to colonial Peru and Colombia, post-Independence Mexico, and the pre-Emancipation United States.


Music Experiment And Mathematics In England 1653 1705

Author by : Benjamin Wardhaugh
Languange : en
Publisher by : Routledge
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Description : How, in 1705, was Thomas Salmon, a parson from Bedfordshire, able to persuade the Royal Society that a musical performance could constitute a scientific experiment? Or that the judgement of a musical audience could provide evidence for a mathematically precise theory of musical tuning? This book presents answers to these questions. It constitutes a general history of quantitative music theory in the late seventeenth century as well as a detailed study of one part of that history: namely the applications of mathematical and mechanical methods of understanding to music that were produced in England between 1653 and 1705, beginning with the responses to Descartes's 1650 Compendium musicand ending with the Philosophical Transactions' account of the appearance of Thomas Salmon at the Royal Society in 1705. The book is organized around four key questions. Do musical pitches form a small set or a continuous spectrum? Is there a single faculty of hearing which can account for musical sensation, or is more than one faculty at work? What is the role of harmony in the mechanical world, and where can its effects be found? And what is the relationship between musical theory and musical practice? These are questions which are raised and discussed in the sources themselves, and they have wide significance for early modern theories of knowledge and sensation more generally, as well as providing a fascinating side light onto the world of the scientific revolution.


The Topkapi Scroll

Author by : Gülru Necipoğlu
Languange : en
Publisher by : Getty Publications
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Total Read : 10
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Description : Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.


The British National Bibliography

Author by : Arthur James Wells
Languange : en
Publisher by : Unknown
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Sapientia Astrologica Astrology Magic And Natural Knowledge Ca 1250 1800

Author by : H Darrel Rutkin
Languange : en
Publisher by : Springer
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Total Read : 49
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Description : This book explores the changing perspective of astrology from the Middle Ages to the Early Modern Era. It introduces a framework for understanding both its former centrality and its later removal from legitimate knowledge and practice. The discussion reconstructs the changing roles of astrology in Western science, theology, and culture from 1250 to 1500. The author considers both the how and the why. He analyzes and integrates a broad range of sources. This analysis shows that the history of astrology—in particular, the story of the protracted criticism and ultimate removal of astrology from the realm of legitimate knowledge and practice—is crucial for fully understanding the transition from premodern Aristotelian-Ptolemaic natural philosophy to modern Newtonian science. This removal, the author argues, was neither obvious nor unproblematic. Astrology was not some sort of magical nebulous hodge-podge of beliefs. Rather, astrology emerged in the 13th century as a richly mathematical system that served to integrate astronomy and natural philosophy, precisely the aim of the “New Science” of the 17th century. As such, it becomes a fundamentally important historical question to determine why this promising astrological synthesis was rejected in favor of a rather different mathematical natural philosophy—and one with a very different causal structure than Aristotle's.


An Age Of Risk

Author by : Emily C. Nacol
Languange : en
Publisher by : Princeton University Press
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Description : In An Age of Risk, Emily Nacol shows that risk, now treated as a permanent feature of our lives, did not always govern understandings of the future. Focusing on the epistemological, political, and economic writings of Thomas Hobbes, John Locke, David Hume, and Adam Smith, Nacol explains that in seventeenth- and eighteenth-century Britain, political and economic thinkers reimagined the future as a terrain of risk, characterized by probabilistic calculation, prediction, and control. In these early modern sources, Nacol contends, we see three crucial developments in thought on risk and politics. While early modern thinkers differentiated uncertainty about the future from probabilistic calculations of risk, they remained attentive to the ways uncertainty and risk remained in a conceptual tangle, a problem that constrained good decision making. They developed sophisticated theories of trust and credit as crucial background conditions for prudent risk-taking, and offered complex depictions of the relationships and behaviors that would make risk-taking more palatable. They also developed two narratives that persist in subsequent accounts of risk—risk as a threat to security, and risk as an opportunity for profit. Looking at how these narratives are entwined in early modern thought, Nacol locates the origins of our own ambivalence about risk-taking. By the end of the eighteenth century, she argues, a new type of political actor would emerge from this ambivalence, one who approached risk with fear rather than hope. By placing a fresh lens on early modern writing, An Age of Risk demonstrates how new and evolving orientations toward risk influenced approaches to politics and commerce that continue to this day.


Advanced Courses Of Mathematical Analysis Ii

Author by : M. V. Velasco
Languange : en
Publisher by : World Scientific
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Total Read : 98
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Description : This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of new directions and advances in topics for current and future research in the field. Contents: Lineable and Spaceable Properties (R M Aron); Alexander Grothendieck's Work on Functional Analysis (F Bombal); Maximal Functions in Fourier Analysis (J Duoandikoetxea); Hypercyclic Operators: Some Recent Progress (G Godefroy); On the Hahn-Banach Theorem (L Narici); Lipschitz Quotient Maps Between Banach Spaces (W B Johnson); Approximation Algorithms in Banach Spaces (N Kalton); Spectral Properties of Cesa'ro-Like Operators (M M Neumann); Some Ideas on Mathematical Training Concerning Mathematical Analysis (B Rubio); Interpolation and Sampling (K Seip); Classes of Indefinitely Differentiable Functions (M Valdivia); Classical Potential Theory and Analytic Capacity (J Verdera); Best Approximations on Small Regions: A General Approach (F Zo & H H Cuenya). Readership: Mathematicians in analysis and differential equations and approximation theory.


Writing In The Electronic Environment

Author by : Ian Colford
Languange : en
Publisher by : Halifax, N.S. : Dalhousie University, School of Library and Information Studies
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Total Read : 79
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Meaning Understanding And Practice

Author by : Barry Stroud
Languange : en
Publisher by : Oxford University Press
Format Available : PDF, ePub, Mobi
Total Read : 34
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Description : Meaning, Understanding, and Practice is a selection of the most notable essays of a leading contemporary philosopher on a set of central topics in analytic philosophy. Barry Stroud offers penetrating studies of meaning, understanding, necessity, and the intentionality of thought. A question which runs through much of this work is what can be expected from a philosophical account of one's understanding of the meaning of something. Five of the essays are focused specifically on the philosophy of Wittgenstein, and most of the rest work with ideas derived from Wittgenstein. Stroud's introduction puts the papers in context by explaining how his ideas and aims developed over the years, and drawing out the recurring themes of the book.


Tradition Transmission Transformation

Author by : F. Jamil Ragep
Languange : en
Publisher by : BRILL
Format Available : PDF, ePub, Mobi
Total Read : 83
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Description : In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.