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Quantifying Aristotle
The Impact, Spread and Decline of the Calculatores Tradition
Series: - Medieval and Early Modern Philosophy and Science, Volume: 34
Aristotelian philosophy is generally regarded as incompatible with the mathematical methods and principles that form the basis of modern science. This book offers an entirely new perspective on this presumed incompatibility. It surveys the tradition of the Oxford Calculators from its beginnings in the fourteenth century until Leibniz and the philosophy of the seventeenth century and explores how the Calculators' techniques of quantification expanded the conceptual and methodological limits of Aristotelianism. In the process, it examines a large number of authors, some of them never studied in this context. Exploring the relationship between various late medieval disciplines, the book sheds new light on the problem of continuity vs. discontinuity between scholasticism and modern science. Beyond its historiographical purpose, this book also hopes to be a source of inspiration for present-day philosophers of science.
Daniel A. Di Liscia (Ph.D. 2003), is Lecturer at the Ludwig-Maximilians-Universität München (Germany), at the Munich Center for Mathematical Philosophy. He worked on the edition of Copernicus and Kepler, and published several papers on the Oxford Calculators, in particular on the latitude of forms.
Edith D. Sylla (Ph.D. 1971) is Professor Emerita at North Carolina State University (Raleigh, North Carolina). She works on the history of mathematics, physics, and their interrelations from the late Middle Ages to the early eighteenth century.
Edith D. Sylla (Ph.D. 1971) is Professor Emerita at North Carolina State University (Raleigh, North Carolina). She works on the history of mathematics, physics, and their interrelations from the late Middle Ages to the early eighteenth century.
Acknowledgements
List of Figures
Notes on Contributors
Introduction
âDaniel A. Di Liscia
1 Thomas Wylton on the Ceasing of an Instant of Time
âCecilia Trifogli
2 The New Interpretation of Aristotle: Richard Kilvington, Thomas Bradwardine, and the New Rule of Motion
âElżbieta Jung
3 The Opuscula de motu Ascribed to Richard Swineshead: The Testimony of the Ongoing Development of the Oxford Calculatorsâ Science of Motion
âRobert PodkoÅski
4 Calculations in Thomas Bradwardineâs De causa dei, Book I
âEdit Anna Lukács
5 The Calculators on the Insolubles: Bradwardine, Kilvington, Heytesbury, Swyneshed, and Dumbleton
âStephen Read
6 The Influence of the Oxford Calculatores on the Understanding of Local Motion: The Example of the Tractatus de sex inconvenientibus
âSabine Rommevaux-Tani
7 Wyclif, the Black Sheep of the Oxford Calculators
âMark Thakkar
8 On the Reception of English Logic at Universities of Central Europe: Helmoldus de Zoltwedel (Prague, Leipzig) on the Liar-Paradox
âHarald Berger
9 Blasius of Parma on the Calculation of the Variation of Qualities and Aristotelian Physics
âJoël Biard
10 The Calculators Tradition in Oresmeâs De visione stellarum
âAnÃbal Szapiro
11 Perfections and Latitudes: The Development of the Calculatorsâ Tradition and the Geometrisation of Metaphysics and Theology
âDaniel A. Di Liscia
12 Decline of the Calculators in Paris c. 1500: Humanism and Print
âRichard Oosterhoff
13 Some Aspects of the âRulesâ of motus difformis in Angelo da Fossambrunoâs Commentary on Heytesburyâs De tribus praedicamentis
âFabio Seller
14 Leibniz and the Calculators
âEdith Dudley Sylla
Manuscripts
Bibliography
Index Nominum
List of Figures
Notes on Contributors
Introduction
âDaniel A. Di Liscia
1 Thomas Wylton on the Ceasing of an Instant of Time
âCecilia Trifogli
2 The New Interpretation of Aristotle: Richard Kilvington, Thomas Bradwardine, and the New Rule of Motion
âElżbieta Jung
3 The Opuscula de motu Ascribed to Richard Swineshead: The Testimony of the Ongoing Development of the Oxford Calculatorsâ Science of Motion
âRobert PodkoÅski
4 Calculations in Thomas Bradwardineâs De causa dei, Book I
âEdit Anna Lukács
5 The Calculators on the Insolubles: Bradwardine, Kilvington, Heytesbury, Swyneshed, and Dumbleton
âStephen Read
6 The Influence of the Oxford Calculatores on the Understanding of Local Motion: The Example of the Tractatus de sex inconvenientibus
âSabine Rommevaux-Tani
7 Wyclif, the Black Sheep of the Oxford Calculators
âMark Thakkar
8 On the Reception of English Logic at Universities of Central Europe: Helmoldus de Zoltwedel (Prague, Leipzig) on the Liar-Paradox
âHarald Berger
9 Blasius of Parma on the Calculation of the Variation of Qualities and Aristotelian Physics
âJoël Biard
10 The Calculators Tradition in Oresmeâs De visione stellarum
âAnÃbal Szapiro
11 Perfections and Latitudes: The Development of the Calculatorsâ Tradition and the Geometrisation of Metaphysics and Theology
âDaniel A. Di Liscia
12 Decline of the Calculators in Paris c. 1500: Humanism and Print
âRichard Oosterhoff
13 Some Aspects of the âRulesâ of motus difformis in Angelo da Fossambrunoâs Commentary on Heytesburyâs De tribus praedicamentis
âFabio Seller
14 Leibniz and the Calculators
âEdith Dudley Sylla
Manuscripts
Bibliography
Index Nominum
The book is of interest for post-graduate students and researchers interested in late medieval and early modern natural philosophy and logic within the context of Aristotelian science.