David Hume's critique of infinity
In: Brill's studies in intellectual history 102
In: Brill's studies in intellectual history v. 102
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.
In: Brill's studies in intellectual history 102
In: Brill's Studies in Intellectual History Ser v.102
DAVIDHUME'S CRITIQUE OF INFINITY -- Copy right -- CONTENTS -- PREFACE -- ACKNOWLEDGMENTS -- INTRODUCTION TWO-FOLD TASK OF HUME'S CRITIQUE -- Hume's Strict Finitism -- Dialectical Structure of Hume's Critique -- Historical-Philosophical Context -- Bayle's Trilemma for the Divisiblity of Extension -- L·gacyand Influence of Berkeley on Hume's Metaphysics of Space and Philosophy of Mathematics -- PART ONE THE INKSPOT EXPERIMENT -- CHAPTER 1 MINIMA SENSIBILIA -- A Spot of Ink on Paper -- Limitations of Impressions and Ideas -- Sensible Extensionless Indivisibles as the Constituents of Extension
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