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Philosophie der Mathematik & Mathematische Praxis im 17. Jahrhundert - Mancosu
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Artikelmerkmale
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- ISBN
- 9780195132441
Über dieses Produkt
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0195132440
ISBN-13
9780195132441
eBay Product ID (ePID)
65369
Product Key Features
Number of Pages
288 Pages
Publication Name
Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
Language
English
Subject
History & Philosophy, Logic
Publication Year
1999
Type
Textbook
Subject Area
Mathematics, Philosophy
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
15.6 Oz
Item Length
9.1 in
Item Width
6 in
Additional Product Features
Intended Audience
College Audience
Dewey Edition
21
Reviews
"Students of the history of mathematics and philosophers of mathematics will find this a valuable addition to the literature."--Choice "Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis "Mancosu tells the story well and is good at bringing out significant points"--International Philosophical Quarterly "Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis "This is a very carefully researched and documented analysis of the rich relationship between philosophy of mathematics and mathematical practice during the 17th century."--Mathematical Reviews, "Mancosu's book shows philosophical acumen as well as high technicalcompetence--and it makes good reading even as it explores abstruse notions orinvolved technicalities. For historians of early modern mathematics, it isessential reading."--Isis, "Mancosu's scholarly book is very carefully researched, but it is also clearly written and fascinating to read. It is not to be missed by anyone with a serious interest in philosophy of mathematics."--Philosophia Mathematica, "Mancosu's scholarly book is very carefully researched, but it is alsoclearly written and fascinating to read. It is not to be missed by anyone witha serious interest in philosophy of mathematics."--PhilosophiaMathematica, "Students of the history of mathematics and philosophers of mathematics will find this a valuable addition to the literature."--Choice"Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis"Mancosu tells the story well and is good at bringing out significant points"--International Philosophical Quarterly"Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis"This is a very carefully researched and documented analysis of the rich relationship between philosophy of mathematics and mathematical practice during the 17th century."--Mathematical Reviews"...this is an important and interesting book....it is useful to have this material together in one volume, and anyone interested in seventeenth-century philosophy or mathematics is sure to find much here that is valuable."--The Philosophical Review"Students of the history of mathematics and philosophers of mathematics will find this a valuable addition to the literature."--Choice"Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis"Mancosu tells the story well and is good at bringing out significant points"--International Philosophical Quarterly"Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis"This is a very carefully researched and documented analysis of the rich relationship between philosophy of mathematics and mathematical practice during the 17th century."--Mathematical Reviews"Mancosu's scholarly book is very carefully researched, but it is also clearly written and fascinating to read. It is not to be missed by anyone with a serious interest in philosophy of mathematics."--Philosophia Mathematica, "...this is an important and interesting book....it is useful to have thismaterial together in one volume, and anyone interested in seventeenth-centuryphilosophy or mathematics is sure to find much here that is valuable."--ThePhilosophical Review, "Mancosu tells the story well and is good at bringing out significantpoints"--International Philosophical Quarterly, "Students of the history of mathematics and philosophers of mathematics will find this a valuable addition to the literature."--Choice"Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis"Mancosu tells the story well and is good at bringing out significant points"--International Philosophical Quarterly"Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis"This is a very carefully researched and documented analysis of the rich relationship between philosophy of mathematics and mathematical practice during the 17th century."--Mathematical Reviews, "...this is an important and interesting book....it is useful to have this material together in one volume, and anyone interested in seventeenth-century philosophy or mathematics is sure to find much here that is valuable."--The Philosophical Review, "Students of the history of mathematics and philosophers of mathematics will find this a valuable addition to the literature."--Choice, "This is a very carefully researched and documented analysis of the rich relationship between philosophy of mathematics and mathematical practice during the 17th century."--Mathematical Reviews, "Students of the history of mathematics and philosophers of mathematics will find this a valuable addition to the literature."-- Choice "Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."-- Isis "Mancosu tells the story well and is good at bringing out significant points"-- International Philosophical Quarterly "Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."-- Isis "This is a very carefully researched and documented analysis of the rich relationship between philosophy of mathematics and mathematical practice during the 17th century."-- Mathematical Reviews, "This is a very carefully researched and documented analysis of the richrelationship between philosophy of mathematics and mathematical practice duringthe 17th century."--Mathematical Reviews, "Mancosu tells the story well and is good at bringing out significant points"--International Philosophical Quarterly, "Students of the history of mathematics and philosophers of mathematicswill find this a valuable addition to the literature."--Choice, "Mancosu's book shows philosophical acumen as well as high technical competence--and it makes good reading even as it explores abstruse notions or involved technicalities. For historians of early modern mathematics, it is essential reading."--Isis
Illustrated
Yes
Dewey Decimal
501.0903
Table Of Content
1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century1.1. The Quaestio de Certitudine Mathematicarum1.2. The Quaestio in the Seventeenth Century1.3. The Quaestio and Mathematical Practice2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity2.1. Magnitudes, Ratios, and the Method of Exhaustion2.2. Cavalieri's Two Methods of Indivisibles2.3. Guldin's Objections to Cavalieri's Geometry of Indivisibles2.4. Guldin's Centrobaryca and Cavalieri's Objections3. Descartes' Géométrie3.1. Descartes' Géométrie3.2. The Algebraization of Mathematics4. The Problem of Continuity4.1. Motion and Genetic Definitions4.2. The "Casual" Theories in Arnauld and Bolzano4.3. Proofs by Contradiction from Kant to the Present5. Paradoxes of the Infinite5.1. Indivisibles and Infinitely Small Quantities5.2. The Infinitely Large6. Leibniz's Differential Calculus and Its Opponents6.1. Leibniz's Nova Methodus and L'Hôpital's Alalyse des Infiniment Petits6.2. Early Debates with Clüver and Nieuwentijt6.3. The Foundational Debate in the Paris Academy of SciencesAppendix: Giuseppe Biancani's De Mathematicarum Natura, Translated by Gyula KlimaNotesReferencesIndex
Synopsis
The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics., The seventeenth century saw dramatic advances in mathematical theory and practice than any era before or since. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, analytic geometry, the geometry of indivisibles, the arithmetic of infinites, and the calculus had been developed. Although many technical studies have been devoted to these innovations, Paolo Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Beginning with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie , the relationship between empiricist epistemology and infinitistic theorems in geometry, and the debates concerning the foundations of the Leibnizian calculus In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics., The seventeenth century saw dramatic advances in mathematical theory and practice than any era before or since. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, analytic geometry, the geometry of indivisibles, the arithmetic of infinites, and the calculus had been developed. Although many technical studies have been devoted to these innovations, Paolo Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Beginning with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relationship between empiricist epistemology and infinitistic theorems in geometry, and the debates concerning the foundations of the Leibnizian calculus In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics., Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques. He draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics.
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94,6% positive Bewertungen•10 Tsd. Artikel verkauft
Angemeldet als privater VerkäuferDaher finden verbraucherschützende Vorschriften, die sich aus dem EU-Verbraucherrecht ergeben, keine Anwendung. Der eBay-Käuferschutz gilt dennoch für die meisten Käufe.
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- t***9 (282)- Bewertung vom Käufer.Letzter MonatBestätigter Kaufgood packing. happy with this set. thank you.
- t***e (211)- Bewertung vom Käufer.Letzter MonatBestätigter KaufWell packed, fast shipping. Item arrived in great shape and as described. Thank you.
- _***c (363)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufSmooth transaction, authentic item, happy buyer, A+++ seller!