The Analyst; Or, a Discourse Addressed to an Infidel Mathematician, by the Author of 'The Minute Philosopher'

The Analyst; Or, A Discourse Addressed To An Infidel Mathematician, By The Author Of 'The Minute Philosopher' by George Berkeley. This eighteenth?century polemic targets the then?modern analytic method of fluxions and the calculus, arguing that their foundations rest on obscure notions of moments, velocities, and infinitesimals. Berkeley questions the logic and demonstration of the contemporary Analysts, condemns the shifting suppositions and the practice of discarding infinitesimals, and urges a return to clear geometrical reasoning grounded in defined principles. The work surveys topics such as differences, fluxions, moments, and algebraic expressions, and presents a sequence of arguments about the relationship between mathematics and religion, truth, and epistemology. Through a rigorous critique, The Analyst aims to expose the speculative nature of contemporary analysis and to defend traditional mathematical rigor.