A Defence of Free-Thinking in Mathematics (Classic Reprint): In Answer to a Pamphlet of Philalethes Cantabrigiensis, Intituled, Geometry No Friend to ... the British Mathematicians (Classic Reprint) - Softcover

Berkeley, George

 
9781333463847: A Defence of Free-Thinking in Mathematics (Classic Reprint): In Answer to a Pamphlet of Philalethes Cantabrigiensis, Intituled, Geometry No Friend to ... the British Mathematicians (Classic Reprint)

Synopsis

This book is a detailed examination and critique of the foundational principles of Isaac Newton and his followers in the realm of mathematics, specifically regarding the concept of fluxions, or the mathematics of change. The author argues that the concept, as presented by Newton and his followers, is fundamentally flawed and ultimately incomprehensible. Expanding upon ideas hinted at in previous works, the author provides a careful analysis of the inconsistencies and paradoxes inherent in the theory of fluxions, demonstrating how the rejection of infinitely small quantities leads to absurd and contradictory results. The book delves deeply into the philosophical underpinnings of mathematics, questioning the validity of certain mathematical principles and challenging the blind acceptance of authority in the field. Ultimately, the author's insights shed light on the limitations of human understanding and the importance of critical thinking in the pursuit of scientific knowledge.

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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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