Anachronisms in the History of Mathematics Essays on the Historical Interpretation of Mathematical Texts
Book contents
- Frontmatter
- Contents
- Contributors
- Figures
- Preface
- 1 Introduction: The historical interpretation of mathematical texts and the problem of anachronism
- 2 From reading rules to reading algorithms: textual anachronisms in the history of mathematics and their effects on interpretation
- 3 Anachronism and anachorism in the study of mathematics in India
- 4 On the need to re-examine the relationship between the mathematical sciences and philosophy in Greek antiquity
- 5 Productive anachronism: on mathematical reconstruction as a historiographical method
- 6 Anachronism in the Renaissance historiography of mathematics
- 7 Deceptive familiarity: differential equations in Leibniz and the Leibnizian school (1689–1736)
- 8 Euler and analysis: case studies and historiographical perspectives
- 9 Measuring past geometers: a history of non-metric projective anachronism
- 10 Anachronism: Bonola and non-Euclidean geometry
- 11 Anachronism and incommensurability:words, concepts, contexts, and intentions
- Index
10 - Anachronism: Bonola and non-Euclidean geometry
Published online by Cambridge University Press: 19 July 2021
By
Edited by
Book contents
- Frontmatter
- Contents
- Contributors
- Figures
- Preface
- 1 Introduction: The historical interpretation of mathematical texts and the problem of anachronism
- 2 From reading rules to reading algorithms: textual anachronisms in the history of mathematics and their effects on interpretation
- 3 Anachronism and anachorism in the study of mathematics in India
- 4 On the need to re-examine the relationship between the mathematical sciences and philosophy in Greek antiquity
- 5 Productive anachronism: on mathematical reconstruction as a historiographical method
- 6 Anachronism in the Renaissance historiography of mathematics
- 7 Deceptive familiarity: differential equations in Leibniz and the Leibnizian school (1689–1736)
- 8 Euler and analysis: case studies and historiographical perspectives
- 9 Measuring past geometers: a history of non-metric projective anachronism
- 10 Anachronism: Bonola and non-Euclidean geometry
- 11 Anachronism and incommensurability:words, concepts, contexts, and intentions
- Index
Summary
Roberto Bonola, in his celebrated history of non-Euclidean geometry, imported a distinction between elementary and advanced mathematics commonly drawn around 1900 back to the discoveries of the 1820s and 1830s. In so doing he fell into anachronism and misrepresented the subject, most obviously in his treatment of the work of Lobachevskii.
Keywords
- Type
- Chapter
- Information
- Anachronisms in the History of MathematicsEssays on the Historical Interpretation of Mathematical Texts, pp. 281 - 306Publisher: Cambridge University PressPrint publication year: 2021
- 1
- Cited by