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Tables of Contents for The Philosophy of Mathematics & Mathematical Practice in the Seventeenth Century
Chapter/Section Title
Page #
Page Count
Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century
8
26
The Quaestio de Certitudine Mathematicarum
10
5
The Quaestio in the Seventeenth Century
15
9
The Quaestio and Mathematical Practice
24
10
Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity
34
31
Magnitudes, Ratios, and the Method of Exhaustion
35
3
Cavalieri's Two Methods of Indivisibles
38
12
Guldin's Objections to Cavalieri's Geometry of Indivisibles
50
6
Guldin's Centrobaryca and Cavalieri's Objections
56
9
Descartes' Geometrie
65
27
Descartes' Geometrie
65
19
The Algebraization of Mathematics
84
8
The Problem of Continuity
92
26
Motion and Genetic Definitions
94
6
The ``Causal'' Theories in Arnauld and Bolzano
100
5
Proofs by Contradiction from Kant to the Present
105
13
Paradoxes of the Infinite
118
32
Indivisibles and Infinitely Small Quantities
119
10
The Infinitely Large
129
21
Leibniz's Differential Calculus and Its Opponents
150
28
Leibniz's Nova Methodus and L`Hopital's Analyse des Infiniment Petits
151
5
Early Debates with Cluver and Nieuwentijt
156
9
The Foundational Debate in the Paris Academy of Sciences
165
13
Appendix: Giuseppe Biancani's De Mathematicarum Natura
178
35
Gyula Klima
Notes
213
36
References
249
18
Index
267