Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy
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Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy
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Author : David Sepkoski
language : en
Publisher: Routledge
Release Date : 2013-05-24
Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy written by David Sepkoski and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Philosophy categories.
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.
Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy
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Author : David Sepkoski
language : en
Publisher: Routledge
Release Date : 2013-05-24
Nominalism And Constructivism In Seventeenth Century Mathematical Philosophy written by David Sepkoski and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Mathematics categories.
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
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Author : David Christopher Sepkoski
language : en
Publisher:
Release Date : 2002
Numbers And Things written by David Christopher Sepkoski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Magical Nominalism
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Author : Martin Jay
language : en
Publisher: University of Chicago Press
Release Date : 2025-01-22
Magical Nominalism written by Martin Jay and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-22 with Philosophy categories.
A bold and wide-ranging study across centuries, examining the conflict between “conventional” and “magical” nominalism in philosophy, history, aesthetics, political theory, and photography. In this magisterial new book, intellectual historian Martin Jay traces the long-standing competition between two versions of nominalism—the “conventional” and the “magical.” Since at least William of Ockham, according to Jay, the conventional form of nominalism has contributed to the disenchantment of the world, by viewing general terms as nothing more than mere names we use to group particular objects together, rejecting the idea that they refer to a further, “higher” reality. Magical nominalism, instead, performs a reenchanting function, by investing proper names, disruptive events, and singular objects with an auratic power of their own. Drawing in part on Jewish theology, it challenges the elevation of the constitutive subject resulting from Ockham’s reliance on divine will in his critique of real universals. Starting with the fourteenth-century revolution of nominalism against Scholastic realism, Jay unpacks various “counterrevolutions” against nominalism itself, including a magical alternative to its conventional form. Focusing on fundamental debates over the relationship between language, thought, and reality, Jay illuminates connections across thinkers, disciplines, and vast realms of human experience. Ranging from theology and philosophy of history to aesthetics and political theory, this book engages with a range of artists and thinkers, including Adorno, Ankersmit, Badiou, Barthes, Bataille, Benjamin, Blumenberg, Derrida, Duchamp, Foucault, Kracauer, Kripke, and Lyotard. Ultimately, Magical Nominalism offers a strikingly original way to understand humanity’s intellectual path to modernity.
Isaac Newton On Mathematical Certainty And Method
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Author : Niccolo Guicciardini
language : en
Publisher: MIT Press
Release Date : 2011-08-19
Isaac Newton On Mathematical Certainty And Method written by Niccolo Guicciardini and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-19 with Mathematics categories.
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
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Author : Wolfram Schmidgen
language : en
Publisher: University of Pennsylvania Press
Release Date : 2021-08-13
Infinite Variety written by Wolfram Schmidgen and has been published by University of Pennsylvania Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-13 with Literary Criticism categories.
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
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Author : Steffen Ducheyne
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-20
The Main Business Of Natural Philosophy written by Steffen Ducheyne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with History categories.
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.
Historical Dictionary Of Hobbes S Philosophy
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Author : Juhana Lemetti
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2011-12-16
Historical Dictionary Of Hobbes S Philosophy written by Juhana Lemetti and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-16 with Philosophy categories.
Thomas Hobbes (1588-1679) is one of the most important early modern thinkers. Though Hobbes is best known for Leviathan (1651) and the theory of absolute sovereignty, his works discuss virtually all the major problems of philosophy as well as science and mathematics, and contain the translations of classical texts like Thucydides' History of the Peloponnesian War, a verse church history, and various essays. Hobbes spent most of his adult life in the service of the influential Cavendish family. The Historical Dictionary of Hobbes's Philosophy offers a comprehensive guide to the many facets of Hobbes's work. Through its chronology, introductory essay, bibliography, and hundreds of cross-referenced dictionary entries on concepts, people, works, and technical terms, Hobbes's impact on philosophy and related fields is made accessible to the reader in this must-have reference. Intended as a reference to learn about particular aspects of Hobbes, it also serves as a quick guide to check information and find the relevant secondary literature on Hobbes. It is an excellent access point for students, researchers, and anyone wanting to know more about Thomas Hobbes.
Pierre Gassendi
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Author : Delphine Bellis
language : en
Publisher: Taylor & Francis
Release Date : 2023-04-21
Pierre Gassendi written by Delphine Bellis and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-21 with Philosophy categories.
Pierre Gassendi (1592–1655) was a major figure in seventeenth-century philosophy and science and his works contributed to shaping Western intellectual identity. Among “new philosophers,” he was considered Descartes’s main rival, and he belonged to the first rank of those attempting to carve out an alternative to Aristotelian philosophy. In his writings, he promoted a revival of atomism and Epicureanism within a Christian framework, and advocated an empiricist and probabilistic epistemology which was to have a major impact on later thinkers such as Locke and Newton. He is moreover important for his astronomical work, for his defense of Galileo’s mechanics and cosmology, and for his activity as a biographer. Given the importance of Gassendi for the history of science and philosophy, it is surprising to see that he has been largely ignored in the Anglophone world. This collection of essays constitutes the first book on Gassendi in the English language that covers his biography, bibliography, and all aspects of his work. The book is divided into three parts. Part I offers a reconstruction of the genesis of Gassendi’s Epicurean project, an overview of his biography, and analyses of Gassendi’s early attacks on Aristotle, of his advocacy of Epicurean philosophy, and his relation to the skeptical tradition and to Cicero’s thought. Part II addresses Gassendi as a participant in seventeenth-century philosophical and scientific debates, focusing especially on his controversies with Descartes and Fludd. Part III explores Gassendi’s contributions to logic, theories of space and time, mechanics, astronomy, cosmology, and the study of living beings, and presents the reception of Gassendi’s thought in England. This book is an essential resource for scholars and upper-level students of early modern philosophy, intellectual history, and the history of science who want to get acquainted with Pierre Gassendi as a major philosopher and intellectual figure of the early modern period.
Spinoza S Epistemology Through A Geometrical Lens
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Author : Matthew Homan
language : en
Publisher: Springer Nature
Release Date : 2021-07-05
Spinoza S Epistemology Through A Geometrical Lens written by Matthew Homan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-05 with Philosophy categories.
This book interrogates the ontology of mathematical entities in Spinoza as a basis for addressing a wide range of interpretive issues in Spinoza’s epistemology—from his antiskepticism and philosophy of science to the nature and scope of reason and intuitive knowledge and the intellectual love of God. Going against recent trends in Spinoza scholarship, and drawing on various sources, including Spinoza’s engagements with optical theory and physics, Matthew Homan argues for a realist interpretation of geometrical figures in Spinoza; illustrates their role in a Spinozan hypothetico-deductive scientific method; and develops Spinoza’s mathematical examples to better illuminate the three kinds of knowledge. The result is a portrait of Spinoza’s epistemology as sanguine and distinctive yet at home in the new Cartesian and Galilean scientific-philosophical paradigm.