David Hume's critique of infinity /

David Hume's critique of infinity / / by Dale Jacquette.

This new study of David Hume’s philosophy of mathematics critically examines his objections to the concept of infinity. Although infinity raises some of the most challenging paradoxes for Hume’s empiricism, there have been few detailed and no fully comprehensive systematic discussions of Hume’s crit...

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Bibliographic Details
Superior document:Brill's studies in intellectual history, volume 102
VerfasserIn:
Jacquette, Dale,
Place / Publishing House:Leiden ;, Boston : : Brill,, 2001.
Year of Publication:2001
Language:English
Series:Brill's studies in intellectual history ; v. 102.
Physical Description:1 online resource (399 pages)
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Table of Contents:
  • Preliminary Material
  • INTRODUCTION: TWO-FOLD TASK OF HUME'S CRITIQUE
  • CHAPTER 1: MINIMA SENSIBILIA
  • CHAPTER 2: AGAINST MIND-MEDIATED IDEAS OF INFINITE DIVISIBILITY
  • CHAPTER 3: HUME'S INKSPOT METAPHYSICS OF SPACE: FINITE DIVISIBILITY OF EXTENSION INTO SENSIBLE EXTENSIONLESS INDIVISIBLES
  • CHAPTER 4: HUME'S REDUCTIO ARGUMENTS
  • CHAPTER 5: ANTITHESIS IN KANT'S SECOND ANTINOMY
  • CHAPTER 6: CLASSICAL MATHEMATICS AND HUME'S REFUTATION OF INFINITE DIVISIBILITY
  • CHAPTER 7: INFINITE DIVISIBILITY IN HUME'S FIRST ENQUIRY
  • CONCLUSION: HUME AGAINST THE MATHEMATICIANS
  • AFTERWORD: HUME'S AESTHETIC PSYCHOLOGY OF DISTANCE, GREATNESS, AND THE SUBLIME
  • BIBLIOGRAPHY
  • INDEX.

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