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Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy

2013-05-24 Philosophy
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Release : 2013-05-24
Genre : Philosophy
Kind : eBook
Book Rating : 67X/5 ( reviews)

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Book Synopsis Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy by : David Sepkoski

Download or read book Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy written by David Sepkoski. This book was released on 2013-05-24. Available in PDF, EPUB and Kindle. Book excerpt: What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answering this question, this book demonstrates that a significant group of philosophers shared the belief that there is no necessary correspondence between external reality and objects of human understanding, which they held to include the objects of mathematical and linguistic discourse. The result is a scholarly reliable, but accessible, account of the role of mathematics in the works of (amongst others) Galileo, Kepler, Descartes, Newton, Leibniz, and Berkeley. This impressive volume will benefit scholars interested in the history of philosophy, mathematical philosophy and the history of mathematics.

Numbers and Things

2002
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Release : 2002
Genre :
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Book Synopsis Numbers and Things by : David Christopher Sepkoski

Download or read book Numbers and Things written by David Christopher Sepkoski. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt:

Isaac Newton on Mathematical Certainty and Method

2011-08-19 Mathematics
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Release : 2011-08-19
Genre : Mathematics
Kind : eBook
Book Rating : 657/5 ( reviews)

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Book Synopsis Isaac Newton on Mathematical Certainty and Method by : Niccolo Guicciardini

Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolo Guicciardini. This book was released on 2011-08-19. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.

Infinite Variety

2021-08-13 Literary Criticism
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Release : 2021-08-13
Genre : Literary Criticism
Kind : eBook
Book Rating : 299/5 ( reviews)

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Book Synopsis Infinite Variety by : Wolfram Schmidgen

Download or read book Infinite Variety written by Wolfram Schmidgen. This book was released on 2021-08-13. Available in PDF, EPUB and Kindle. Book excerpt: Infinite Variety offers a brilliantly learned analysis of a seventeenth-century aesthetic framed not by the rise of secularism, but by its opposite, and embraced by English writers including Thomas Hobbes, Richard Blackmore, John Locke, Jonathan Swift, and Daniel Defoe.

“The main Business of natural Philosophy”

2011-10-20 History
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Release : 2011-10-20
Genre : History
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Book Rating : 269/5 ( reviews)

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Book Synopsis “The main Business of natural Philosophy” by : Steffen Ducheyne

Download or read book “The main Business of natural Philosophy” written by Steffen Ducheyne. This book was released on 2011-10-20. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, Steffen Ducheyne provides a historically detailed and systematically rich explication of Newton’s methodology. Throughout the pages of this book, it will be shown that Newton developed a complex natural-philosophical methodology which encompasses procedures to minimize inductive risk during the process of theory formation and which, thereby, surpasses a standard hypothetico-deductive methodological setting. Accordingly, it will be highlighted that the so-called ‘Newtonian Revolution’ was not restricted to the empirical and theoretical dimensions of science, but applied equally to the methodological dimension of science. Furthermore, it will be documented that Newton’s methodology was far from static and that it developed alongside with his scientific work. Attention will be paid not only to the successes of Newton’s innovative methodology, but equally to its tensions and limitations. Based on a thorough study of Newton’s extant manuscripts, this monograph will address and contextualize, inter alia, Newton’s causal realism, his views on action at a distance and space and time, the status of efficient causation in the /Principia/, the different phases of his methodology, his treatment of force and the constituents of the physico-mathematical models in the context of Book I of the /Principia/, the analytic part of the argument for universal gravitation, the meaning and significance of his regulae philosophandi, the methodological differences between his mechanical and optical work, and, finally, the interplay between Newton’s theology and his natural philosophy.

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