We use cookies to provide essential features and services. By using our website you agree to our use of cookies .

×

Warehouse Stock Clearance Sale

Grab a bargain today!

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
By

Rating

Product Description
Product Details

Table of Contents

1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century 1.1: The Quaestio de Certitudine Mathematicarum 1.2: The Quaestio in the Seventeenth Century 1.3: The Quaestio and Mathematical Practice 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity 2.1: Magnitudes, Ratios, and the Method of Exhaustion 2.2: Cavalieri's Two Methods of Indivisibles 2.3: Guldin's Objections to Cavalieri's Geometry of Indivisibles 2.4: Guldin's Centrobaryca and Cavalieri's Objections 3. Descartes' Geometrie 3.1: Descartes' Geometrie 3.2: The Algebraization of Mathematics 4. The Problem of Continuity 4.1: Motion and Genetic Definitions 4.2: The "Casual" Theories in Arnauld and Bolzano 4.3: Proofs by Contradiction from Kant to the Present 5. Paradoxes of the Infinite 5.1: Indivisibles and Infinitely Small Quantities 5.2: The Infinitely Large 6. Leibniz's Differential Calculus and Its Opponents 6.1: Leibniz's Nova Methodus and L'Hopital's Alalyse des Infiniment Petits 6.2: Early Debates with Cluver and Nieuwentijt 6.3: The Foundational Debate in the Paris Academy of Sciences Appendix: Giuseppe Biancani's De Mathematicarum Natura, Translated by Gyula Klima Notes References Index

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 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

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
People also searched for
Item ships from and is sold by Fishpond World Ltd.
Back to top