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 : 55. 76 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 : 26. 71 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 : 76. 74 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

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ISBN : UOM:39015062317246
Genre : Mathematics
File Size : 80. 96 MB
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The Philosophy Of History

Author : Georg Wilhelm Friedrich Hegel
ISBN : HARVARD:32044010251528
Genre : History
File Size : 63. 28 MB
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Shaping Written Knowledge

Author : Charles Bazerman
ISBN : 0299116948
Genre : Literary Criticism
File Size : 36. 61 MB
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The forms taken by scientific writing help to determine the very nature of science itself. In this closely reasoned study, Charles Bazerman views the changing forms of scientific writing as solutions to rhetorical problems faced by scientists arguing for their findings. Examining such works as the early Philosophical Transactions and Newton's optical writings as well as Physical Review, Bazerman views the changing forms of scientific writing as solutions to rhetorical problems faced by scientists. The rhetoric of science is, Bazerman demonstrates, an embedded part of scientific activity that interacts with other parts of scientific activity, including social structure and empirical experience. This book presents a comprehensive historical account of the rise and development of the genre, and views these forms in relation to empirical experience.

The History And Philosophy Of Social Science

Author : H. Scott Gordon
ISBN : 9781134863075
Genre : Business & Economics
File Size : 35. 74 MB
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First published in 1993. Routledge is an imprint of Taylor & Francis, an informa company.

Approaches And Methodologies In The Social Sciences

Author : Donatella Della Porta
ISBN : 9781139474597
Genre : Political Science
File Size : 48. 42 MB
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A revolutionary textbook introducing masters and doctoral students to the major research approaches and methodologies in the social sciences. Written by an outstanding set of scholars, and derived from successful course teaching, this volume will empower students to choose their own approach to research, to justify this approach, and to situate it within the discipline. It addresses questions of ontology, epistemology and philosophy of social science, and proceeds to issues of methodology and research design essential for producing a good research proposal. It also introduces researchers to the main issues of debate and contention in the methodology of social sciences, identifying commonalities, historic continuities and genuine differences.

New Challenges To Philosophy Of Science

Author : Hanne Andersen
ISBN : 9789400758452
Genre : Science
File Size : 72. 95 MB
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This volume is a serious attempt to open up the subject of European philosophy of science to real thought, and provide the structural basis for the interdisciplinary development of its specialist fields, but also to provoke reflection on the idea of ‘European philosophy of science’. This efforts should foster a contemporaneous reflection on what might be meant by philosophy of science in Europe and European philosophy of science, and how in fact awareness of it could assist philosophers interpret and motivate their research through a stronger collective identity. The overarching aim is to set the background for a collaborative project organising, systematising, and ultimately forging an identity for, European philosophy of science by creating research structures and developing research networks across Europe to promote its development.

Books In Print

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ISBN : UOM:39015054023182
Genre : American literature
File Size : 51. 18 MB
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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.

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