The Good Life in the Scientific Revolution: Descartes, Pascal, Leibniz, and the Cultivation of Virtue

By Matthew L. Jones | Go to book overview

Index
accommodation, Jesuit, 68–69,134–35, 253–55, 325nl36
Agrippa von Nettesheim, Heinrich Cornelius, 274n32
algebra
dangers of, 2–3, 34–38, 73–74
debates over role in Descartes, 276n30, 277n45, 277n49
geometry, relationship to, 22–23, 174
Hobbes on, 194, 307nl06
interconnection and, 34
intuition and deduction, 33–34, 77
temporary art for discovery, 32–34
Alpers, Svetlana, 214
Alsted, Johann, 209, 234
Alumbrados, 56
Amadis de Gaul, 26
anamorphosis, 180–82,187–89
Apollonius, 174, 302n38
Archimedes, 174, 261
Aristotelianism. See scholastic philosophy
Aristotle, 20, 26, 32, 72
arithmetical triangle. See Pascal, works: Treatise on the Arithmetical Triangle; triangle, arithmetical
Arnauld, Antoine, 124–27,190, 264
geometry, 50–51
on Jesuit theology, 145
See also Logic, or the Art of Thinking
Arthur, Richard T. W., on Leibniz
categorematic and syncategorematic infinite, 301n25
continuum, 300n5
infinitely-sided polygon, 309nl36
transcendental numbers, 301n21
artificial techniques
dangers of, 2–3, 7, 25–26, 32–38, 111, 145
ingenium and, 73
interconnected knowledge, 60
artisans
knowledge of, 3, 35–38, 261
mathematical, 35–38,40–42
mechanical curves and, 40–41
askesis. See exercise; philosophy: as way of life
astonishment, 43,187, 251
attention
allowable curves, 40
clarity and distinctness, 63, 70
deduction, 76–77
in Descartes, 25–26, 28, 53, 61–63, 76–77
focused on intellect, 28
in Leibniz, 186, 226, 257
necessary for intuition, 61–62
audience
Descartes, 52–53, 295nl4
Leibniz on attracting, 180–87, 253–55
Pascal, 95–96,132,135–36, 290n37, 295nl2, 297n54

-363-

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The Good Life in the Scientific Revolution: Descartes, Pascal, Leibniz, and the Cultivation of Virtue
Table of contents

Table of contents

  • Title Page iii
  • Contents vii
  • Illustrations ix
  • Acknowledgments xi
  • Abbreviations xv
  • A Note on Conventions xvii
  • Introduction 1
  • Part I - Descartes 13
  • Chapter One - Geometry as Spiritual Exercise 15
  • Chapter Two - A Rhetorical History of Truth 55
  • Part II - Pascal 87
  • Chapter Three - Mathematical Liaisons 89
  • Chapter Four - The Anthropology of Disproportion 131
  • Part III - Leibniz 167
  • Chapter Five - Forms of Expression 169
  • Chapter Six - Seeing All at Once 229
  • Epilogue 267
  • Notes 271
  • Bibliography 329
  • Index 363
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