Mathematiques Et Philosophie De Lantiquite A Lage Classique

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Mathématiques et philosophie de l'antiquité à l'age classique

Author : Jules Vuillemin
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Mathématiques et philosophie de l'antiquité à l'age classique by : Jules Vuillemin

Download or read book Mathématiques et philosophie de l'antiquité à l'age classique written by Jules Vuillemin and published by . This book was released on 1991 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette édition numérique a été réalisée à partir d'un support physique, parfois ancien, conservé au sein du dépôt légal de la Bibliothèque nationale de France, conformément à la loi n° 2012-287 du 1er mars 2012 relative à l'exploitation des Livres indisponibles du XXe siècle. Pages de début Préface La section de la ligne dans la République (VI 509d 26-28) Le problème de la mesure dans la perspective de l'Être et du non-Être Sur les principes des mathématiques chez Aristote et Euclide Sur la définition euclidienne de la droite L'analyse et la synthèse selon Ibn al-Haytham Histoire de la théorie des parallèles Implicit versus explicit geometrical methodologies: The case of construction Descartes and Galileo: The quantification of time and force L'analogie et la pensée mathématique La naissance du projectif L'usage philosophique des mathématiques au XVIIesiècle Pages de fin.

Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1351686003
Total Pages : 637 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics by : Roshdi Rashed

Download or read book Ibn al-Haytham's Geometrical Methods and the Philosophy of Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2017-07-20 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth volume of A History of Arabic Sciences and Mathematics is complemented by four preceding volumes which focused on the main chapters of classical mathematics: infinitesimal geometry, theory of conics and its applications, spherical geometry, mathematical astronomy, etc. This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors, Thābit ibn Qurra and al-Sijzī: The circle, its transformations and its properties; Analysis and synthesis: the founding of analytical art; A new mathematical discipline: the Knowns; The geometrisation of place; Analysis and synthesis: examples of the geometry of triangles; Axiomatic method and invention: Thābit ibn Qurra; The idea of an Ars Inveniendi: al-Sijzī. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.

Mathematics and Philosophy

Author : Daniel Parrochia
Publisher : John Wiley & Sons
ISBN 13 : 1786302098
Total Pages : 352 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Mathematics and Philosophy by : Daniel Parrochia

Download or read book Mathematics and Philosophy written by Daniel Parrochia and published by John Wiley & Sons. This book was released on 2018-07-24 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).

The Philosophers and Mathematics

Author : Hassan Tahiri
Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 357 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Philosophers and Mathematics by : Hassan Tahiri

Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Author : Paolo Mancosu
Publisher : Oxford University Press, USA
ISBN 13 : 0195132440
Total Pages : 290 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century by : Paolo Mancosu

Download or read book Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century written by Paolo Mancosu and published by Oxford University Press, USA. This book was released on 1999 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.

Encyclopedia of the History of Arabic Science

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1134977247
Total Pages : 1135 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis Encyclopedia of the History of Arabic Science by : Roshdi Rashed

Download or read book Encyclopedia of the History of Arabic Science written by Roshdi Rashed and published by Routledge. This book was released on 2019-08-08 with total page 1135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Arabic contribution is fundamental to the history of science, mathematics and technology, but until now no single publication has offered an up-to-date synthesis of knowledge in this area. In three fully-illustrated volumes the Encyclopedia of the History of Arabic Science documents the history and philosophy of Arabic science from the earliest times to the present day. The set as a whole covers seven centuries. Thirty chapters, written by an international team of specialists from Europe, America, the Middle East and Russia cover such areas as astronomy, mathematics, music, engineering, nautical science and scientific institutions.

Semiotik / Semiotics. 1. Teilband

Author : Roland Posner
Publisher : Walter de Gruyter
ISBN 13 : 3110203251
Total Pages : 1249 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Semiotik / Semiotics. 1. Teilband by : Roland Posner

Download or read book Semiotik / Semiotics. 1. Teilband written by Roland Posner and published by Walter de Gruyter. This book was released on 2008-07-14 with total page 1249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of HANDBOOKS OF LINGUISTICS AND COMMUNICATION SCIENCE is designed to illuminate a field which not only includes general linguistics and the study of linguistics as applied to specific languages, but also covers those more recent areas which have developed from the increasing body of research into the manifold forms of communicative action and interaction. For "classic" linguistics there appears to be a need for a review of the state of the art which will provide a reference base for the rapid advances in research undertaken from a variety of theoretical standpoints, while in the more recent branches of communication science the handbooks will give researchers both an overview and orientation. To attain these objectives, the series aims for a standard comparable to that of the leading handbooks in other disciplines, and to this end strives for comprehensiveness, theoretical explicitness, reliable documentation of data and findings, and up-to-date methodology. The editors, both of the series and of the individual volumes, and the individual contributors, are committed to this aim. The language of publication is English. The main aim of the series is to provide an appropriate account of the state of the art in the various areas of linguistics and communication science covered by each of the various handbooks; however no inflexible pre-set limits will is imposed on the scope of each volume. The series is open-ended, and can thus take account of further developments in the field. This conception, coupled with the necessity of allowing adequate time for each volume to be prepared with the necessary care, means that there is no set time-table for the publication of the whole series. Each volume is a self-contained work, complete in itself. The order in which the handbooks are published does not imply any rank ordering, but is determined by the way in which the series is organized; the editors of the whole series enlist a competent editor for each individual volume. Once the principal editor for a volume has been found, he or she then has a completely free hand in the choice of co-editors and contributors. The editors plan each volume independently of the others, being governed only by general formal principles. The series editors only intervene where questions of delineation between individual volumes are concerned. It is felt that this (modus operandi) is best suited to achieving the objectives of the series, namely to give a competent account of the present state of knowledge and of the perception of the problems in the area covered by each volume. To discuss your handbook idea or submit a proposal, please contact Birgit Sievert.

La mesure de l’être

Author : Sylvain Roudaut
Publisher : BRILL
ISBN 13 : 9004501894
Total Pages : 443 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis La mesure de l’être by : Sylvain Roudaut

Download or read book La mesure de l’être written by Sylvain Roudaut and published by BRILL. This book was released on 2021-12-28 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to analyze the problem of the intensity of forms in the late Middle Ages and to show how this debate eventually gave rise to a new metaphysical project in the 14th century: the project of quantifying the different types of perfections existing in the universe – that is the project of “measuring being”. Cet ouvrage se propose d’analyser l’histoire du débat relatif à l’intensité des formes au Moyen Âge, et de retracer la manière dont il conduisit au XIVe siècle à l’émergence d’un projet métaphysique nouveau : celui de quantifier les perfections contenues dans l’univers et, ainsi, de “mesurer l’être”.

Euclid Vindicated from Every Blemish

Author : Gerolamo Saccheri
Publisher : Springer
ISBN 13 : 3319059661
Total Pages : 384 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Euclid Vindicated from Every Blemish by : Gerolamo Saccheri

Download or read book Euclid Vindicated from Every Blemish written by Gerolamo Saccheri and published by Springer. This book was released on 2014-08-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.

Classical Mathematics from Al-Khwarizmi to Descartes

Author : Roshdi Rashed
Publisher : Routledge
ISBN 13 : 1317622383
Total Pages : 621 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis Classical Mathematics from Al-Khwarizmi to Descartes by : Roshdi Rashed

Download or read book Classical Mathematics from Al-Khwarizmi to Descartes written by Roshdi Rashed and published by Routledge. This book was released on 2014-08-21 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.

Leonhard Euler

Author : Ronald Calinger
Publisher : Princeton University Press
ISBN 13 : 0691196400
Total Pages : 689 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Leonhard Euler by : Ronald Calinger

Download or read book Leonhard Euler written by Ronald Calinger and published by Princeton University Press. This book was released on 2019-12-03 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is the first full-scale biography of Leonhard Euler (1707-83), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing chiefly on Euler's massive published works and correspondence, which fill more than eighty volumes so far, this biography sets Euler's work in its multilayered context--personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler's fundamental contributions to almost every area of pure and applied mathematics--especially calculus, number theory, notation, optics, and celestial, rational, and fluid mechanics--to his advancements in shipbuilding, telescopes, ballistics, cartography, chronology, and music theory. The narrative takes the reader from Euler's childhood and education in Basel through his first period in St. Petersburg, 1727-41, where he gained a European reputation by solving the Basel problem and systematically developing analytical mechanics. Invited to Berlin by Frederick II, Euler published his famous Introductio in analysin infinitorum, devised continuum mechanics, and proposed a pulse theory of light. Returning to St. Petersburg in 1766, he created the analytical calculus of variations, developed the most precise lunar theory of the time that supported Newton's dynamics, and published the best-selling Letters to a German Princess--all despite eye problems that ended in near-total blindness. In telling the remarkable story of Euler and how his achievements brought pan-European distinction to the Petersburg and Berlin academies of sciences, the book also demonstrates with new depth and detail the central role of mathematics in the Enlightenment."--Publisher's description.

Descartes’s Mathematical Thought

Author : C. Sasaki
Publisher : Springer Science & Business Media
ISBN 13 : 9401712255
Total Pages : 502 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Descartes’s Mathematical Thought by : C. Sasaki

Download or read book Descartes’s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.

Hegel and Newtonianism

Author : Michael John Petry
Publisher : Springer Science & Business Media
ISBN 13 : 9401116628
Total Pages : 636 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hegel and Newtonianism by : Michael John Petry

Download or read book Hegel and Newtonianism written by Michael John Petry and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: It could certainly be argued that the way in which Hegel criticizes Newton in the Dissertation, the Philosophy of Nature and the lectures on the History of Philosophy, has done more than anything else to prejudice his own reputation. At first sight, what we seem to have here is little more than the contrast between the tested accomplishments of the founding father of modern science, and the random remarks of a confused and somewhat disgruntled philosopher; and if we are persuaded to concede that it may perhaps be something more than this - between the work of a clearsighted mathematician and experimentalist, and the blind assertions of some sort of Kantian logician, blundering about among the facts of the real world. By and large, it was this clear-cut simplistic view of the matter which prevailed among Hegel's contemporaries, and which persisted until fairly recently. The modification and eventual transformation of it have come about gradually, over the past twenty or twenty-five years. The first full-scale commentary on the Philosophy of Nature was published in 1970, and gave rise to the realization that to some extent at least, the Hegelian criticism was directed against Newtonianism rather than the work of Newton himself, and that it tended to draw its inspiration from developments within the natural sciences, rather than from the exigencies imposed upon Hegel's thinking by a priori categorial relationships.

A History of Balance, 1250-1375

Author : Joel Kaye
Publisher : Cambridge University Press
ISBN 13 : 1107028450
Total Pages : 531 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis A History of Balance, 1250-1375 by : Joel Kaye

Download or read book A History of Balance, 1250-1375 written by Joel Kaye and published by Cambridge University Press. This book was released on 2014-04-03 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a groundbreaking history of balance, exploring how a new model of equilibrium emerged during the medieval period.

Theory, Evidence, Data: Themes from George E. Smith

Author : Marius Stan
Publisher : Springer Nature
ISBN 13 : 3031410416
Total Pages : 408 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Theory, Evidence, Data: Themes from George E. Smith by : Marius Stan

Download or read book Theory, Evidence, Data: Themes from George E. Smith written by Marius Stan and published by Springer Nature. This book was released on 2023-11-27 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book builds on the path-breaking work of George E. Smith and further explores the notions of evidence and confirmation in the exact sciences from two perspectives: conceptual and historical. Contributions in this volume investigate the philosophical presuppositions, explanatory scope, and historical precursors of evidence in mathematical physics and related disciplines. The papers are written by and of interest to philosophers and historians of science.

Great Circles

Author : Emily Rolfe Grosholz
Publisher : Springer
ISBN 13 : 3319982311
Total Pages : 275 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Great Circles by : Emily Rolfe Grosholz

Download or read book Great Circles written by Emily Rolfe Grosholz and published by Springer. This book was released on 2018-11-13 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge. The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology.

Routledge History of Philosophy Volume IV

Author : G.H.R. Parkinson
Publisher : Routledge
ISBN 13 : 1134938748
Total Pages : 444 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis Routledge History of Philosophy Volume IV by : G.H.R. Parkinson

Download or read book Routledge History of Philosophy Volume IV written by G.H.R. Parkinson and published by Routledge. This book was released on 2003-09-02 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The philosophy discussed in this volume covers a period of three hundred and fifty years, from the middle of the fourteenth century to the early years of the eighteenth century: the birth of modern philosophy. The chief topics are Renaissance philosophy and seventeenth century rationalism - in particular Descartes, Spinoza and Leibniz. The volume does not deal with these movements exclusively, but places them within a wider intellectual context. It considers the scholastic thought with which Renaissance philosophy interacted; it also considers the thought of seventeenth century philosophers such as Bacon, Hobbes and Gassendi, who were not rationalists but whose thought elicited responses from the rationalists. It considers, too, the important topic of the rise of modern science in the sixteenth and seventeenth centuries, and its relations to the philosophy of the period. This volume provides a broad, scholarly introduction to this period for students of philosophy and related disciplines, as well as some original interpretations of these authors. It includes a glossary of technical terms and a chronological table of philosophical, scientific and other cultural events.