Synopsis
Questioning the foundations of modern analysis and the philosophy of fluxions
This classic work challenges the methods used by 18th?century mathematicians to solve geometry and understand nature. It presents a sharp, skeptical view of how infinitesimal quantities and moving quantities are used in proof and calculation, and it asks whether these ideas truly advance understanding or merely cloak assumptions. The result is a rigorous, thought?provoking examination of mathematics and its claims to certainty.
The analyst is put under scrutiny as the author probes the logic, consistency, and practical uses of fluxions and differences. Readers will encounter a clear, pointed argument about how mathematical ideas relate to time, space, and measurement, and why careful reasoning matters when ideas push beyond concrete experience. The discussion is accessible to readers curious about the philosophy of mathematics, not only its technical details.
- Understand the central critique of the fluxional method and its foundations
- Explore the questions the author raises about measurement, limits, and infinity
- Learn how geometry, algebra, and logic are connected in this debate
- Encounter a historical perspective on why rigorous thinking matters in math
Ideal for readers of philosophy of science, history of mathematics, and anyone curious about the underpinnings of mathematical reasoning.
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About the Author
George Berkeley (1685-1753) was one of the three great British empiricist philosophers; his best known works include An Essay towards a New Theory of Vision and A Treatise Concerning the Principles of Human Knowledge.
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The Analyst, or a Discourse Addressed to an Infidel Mathematician
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Paperback. Condition: New. Print on Demand. This book, first published in 1734, is a wide-ranging inquiry into the nature of mathematics, structured as a dialogue between the author and a mathematician. The author challenges the mathematician's unwavering faith in the mathematical method of fluxions and other contemporary analytical methods, and argues that these methods are often unclear, leading to invalid conclusions. The author contends that mathematics should be pursued logically and without reliance on unproven suppositions. The book's insights on the logical foundations of mathematics remain relevant hundreds of years after its initial publication. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332937271_0
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