Book Review of Mathematics:The Loss of Certainty
“Mathematics: The Loss of Certainty” is a classical work by American historian of mathematics Morris Kline, offering a systematic exploration of mathematics' evolution from “absolute truth” to “uncertainty” through philosophical and historical lenses. Kline reveals the inherent contradictions and limitations of mathematics as a human rational tool by analyzing foundational crises (such as Gödel' s incompleteness theorems and Russell' s paradox) , the impact of non-Euclidean geometry, and modern mathematics' abstract shift. This book not only chronicles the intellectual history of mathematics but also provides profound philosophical reflections on its nature, challenging the traditional notion of mathematics as “eternal truth” while offering unique perspectives on the interplay between scientific and humanistic thought.
Authors
- Jimin Zhang (ORCID: https://orcid.org/0000-0002-4939-0826)
Publication Details
- Journal
- Frontiers of Chinese Pure Mathematics
- Published
- 2025-03-28
- DOI
- https://doi.org/10.48014/fcpm.20250227004
- Primary Topic
- Complex Systems and Decision Making
- Type
- article
- Field-Weighted Citation Impact
- 0.00