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"It is wrong always, everywhere, and for anyone, to believe anythingupon insufficient evidence." -- W. K. CliffordThe above forthright assertion of mathematician and educator W. K. Clifford (1845-1879) in his famous essay "The Ethics of Belief" drew an immediate response from Victorian-era critics, who took issue with his reasoned and brilliantly presented attack on beliefs "not founded on fair inquiry." An advocate of evolutionary theory, Clifford recognized that working hypotheses and assumptions are necessary for belief formation and that testing and assessing one''s beliefs in light of new evidence strengthens those worthy of being held. "The Ethics of Belief" is presented here in complete form, along with an insightful biographical introduction by editor Timothy J. Madigan. Also included are four other noteworthy essays by Clifford: "On the Aims and Instruments of Scientific Thought," "Right and Wrong," "The Ethics of Religion," and "The Influence upon Morality of a Decline in Religious Belief."
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.