from discrete to continuous the broadening of number concepts in early modern england studies in history and philosophy of science

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From Discrete To Continuous

Author : K. Neal
ISBN : 9789401700771
Genre : Mathematics
File Size : 34. 84 MB
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In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number versus continuous magnitude was challenged in the early modern period in several ways. This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept.

The Science Of Nature In The Seventeenth Century

Author : Peter R. Anstey
ISBN : 9781402037030
Genre : Philosophy
File Size : 40. 92 MB
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One of the hallmarks of the modern world has been the stunning rise of the natural sciences. The exponential expansion of scientific knowledge and the accompanying technology that so impact on our daily lives are truly remarkable. But what is often taken for granted is the enviable epistemic-credit rating of scientific knowledge: science is authoritative, science inspires confidence, science is right. Yet it has not always been so. In the seventeenth century the situation was markedly different: competing sources of authority, shifting disciplinary boundaries, emerging modes of experimental practice and methodological reflection were some of the constituents in a quite different mélange in which knowledge of nature was by no means p- eminent. It was the desire to probe the underlying causes of the shift from the early modern ‘nature-knowledge’ to modern science that was one of the stimuli for the ‘Origins of Modernity: Early Modern Thought 1543–1789’ conference held in Sydney in July 2002. How and why did modern science emerge from its early modern roots to the dominant position which it enjoys in today’s post-modern world? Under the auspices of the International Society for Intellectual History, The University of New South Wales and The University of Sydney, a group of historians and philosophers of science gathered to discuss this issue. However, it soon became clear that a prior question needed to be settled first: the question as to the precise nature of the quest for knowledge of the natural realm in the seventeenth century.

The Idea Of Principles In Early Modern Thought

Author : Peter R. Anstey
ISBN : 9781315452685
Genre : Philosophy
File Size : 24. 48 MB
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This collection presents the first sustained examination of the nature and status of the idea of principles in early modern thought. Principles are almost ubiquitous in the seventeenth and eighteenth centuries: the term appears in famous book titles, such as Newton’s Principia; the notion plays a central role in the thought of many leading philosophers, such as Leibniz’s Principle of Sufficient Reason; and many of the great discoveries of the period, such as the Law of Gravitational Attraction, were described as principles. Ranging from mathematics and law to chemistry, from natural and moral philosophy to natural theology, and covering some of the leading thinkers of the period, this volume presents ten compelling new essays that illustrate the centrality and importance of the idea of principles in early modern thought. It contains chapters by leading scholars in the field, including the Leibniz scholar Daniel Garber and the historian of chemistry William R. Newman, as well as exciting, emerging scholars, such as the Newton scholar Kirsten Walsh and a leading expert on experimental philosophy, Alberto Vanzo. The Idea of Principles in Early Modern Thought: Interdisciplinary Perspectives charts the terrain of one of the period’s central concepts for the first time, and opens up new lines for further research.

Mathematical Reviews

Author :
ISBN : UOM:39015062317246
Genre : Mathematics
File Size : 78. 68 MB
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Great Events From History

Author : Christina J. Moose
ISBN : WISC:89090423526
Genre : History
File Size : 69. 10 MB
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The Renaissance & Early Modern Era's start date, 1454, was selected because it immediately follows the end of the Hundred Years? War and the Fall of Constantinople. The following century was marked by the height of the Renaissance in Europe, the rise of the Ottomans and the Wars of the Roses in Britain. Also, European colonization expanded into Africa, Asia and the Americas, Japan became unified and the rise of both indigenous and colonial trade empires in Africa became important. The set discusses major changes in world economics and demographics.

Books In Print

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ISBN : UOM:39015054023182
Genre : American literature
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Einf Hrung In Die Endliche Mathematik

Author : John G. Kemeny
ISBN : 3525407165
Genre :
File Size : 54. 47 MB
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Ber Vorgriechische Mathematik

Author : O. Neugebauer
ISBN : 9783663157854
Genre : Mathematics
File Size : 46. 60 MB
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Philosophie Als Analysis

Author : Hans-Jürgen Engfer
ISBN : UOM:39015048987534
Genre : Analysis (Philosophy)
File Size : 80. 77 MB
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Die philosophische Methode ist im 17. und fruhen 18. Jahrhundert vom Vorbild der mathematischen Methode bestimmt. Die Arbeit zeigt, dass es sich dabei um unterschiedliche Methodenmodelle handelt. Diese fuhren dazu, dass sich bei Descartes, Leibniz und Wolff unter philosophischer Analysis sehr unterschiedliche Methodenansatze entwickeln. Sie bilden den historischen Hintergrund fur das analytische Programm und den Begriff der Aufklarung, was in der bisherigen Forschung oft ubersehen wurde. The philosophical method in the 17th and early 18th centuries was governed by the example of the mathematical method. This work shows that there were however varying types of methods concerned. The result was that when subjected to philosophical analysis, in their works Descartes, Leibniz and Wolff developed very different approaches to their methods. These constitute the historical background for the analytical agenda and the concept of Enlightenment which has often been overlooked by researchers up to now.

Humanismus Und Medizin

Author : Dr. Rudolf Schmitz
ISBN : UCAL:B4257690
Genre : Humanism
File Size : 84. 3 MB
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