Abstract:When Russell was fifteen, he was given a copy of W. K. Clifford’s The Common Sense of the Exact Sciences (1886). Russell later recalled reading it immediately “with passionate interest and with an intoxicating delight in intellectual clarification”. Why then, when Russell wrote An Essay on the Foundations of Geometry (1897), did he choose to defend spaces of homogeneous curvature as a priori? Why was he almost completely silent thereafter on the subject of Clifford, and his writings on geometry and (...) space? We suggest that Russell may have avoided Clifford’s hypothesis that space had heterogeneous curvature because it seemed impossible to reconcile a coherent theory of measurement with a space of variable curvature. Whitehead objected to Einstein’s general theory of relativity on this basis, formulating an alternate theory that preserved the constant curvature of space and, therefore, a familiar sense of measurement. After Einstein’s general theory, Russell chose to distance himself from the position he argued in the Essay. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:April 3, 2010 (11:17 am) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE2902\russell 29,2 050 red.wpd 188 Reviews 1 A.yW. Brown, The Metaphysical Society (New York: Octagon, 1973), pp. 180–1. THE ETHICS OF BELIEF Sylvia Nickerson History & Philosophy of Science & Technology / U. of Toronto Toronto, on, Canada m5s 1k1 [email protected] Timothy J. Madigan. W.yK. CliVord and “The Ethics of Beliefz”. Newcastle, uk: CambridgeScholars Publishing, 2009. Pp. [x], 202. isbn (...) 1-84718-503-7. £29.99; us$44.99 (hb). The mathematician William Kingdon CliTord (1845–1879) is generally remembered as a potentially great man whose life was cut short before his genius was fully realized. During his lifetime CliTord was well known in London as a public intellectual and noted authority on science. He was also an iconoclast, a leader in the application of Darwinian principles to areas beyond biology, and a proponent of non-Euclidean geometry. Unlike other agnostics, CliTord did not mourn the loss of his religious belief, nor did he worry that a secularized society would bring about general social decay. While other scientiWc naturalists worried that a collapse of religion would destroy morality and lead to social disintegration, CliTord willingly ceded the universal truths religion oTered, embracing the uncertainty that scientiWc knowledge actually entailed. He even dared to call himself an atheist. However, CliTord’s death at age 34 curtailed the trace of his thought. What remains is consigned to his scant private notebooks and collected works. Perhaps it was the brevity of his life that has led to his neglect within the history of science; no comprehensive appraisal of his mathematical work has been written. CliTord’sbest-knownnon-mathematical statementisthat“itiswrongalways, everywhere, and for anyone, to believe anything upon insuUcient evidence.” This was the statement he defended in his lecture “The Ethics of Beliefz”, which he delivered to London’s Metaphysical Society in 1876. The Metaphysical Society, founded in 1869 to promote discussion between religious believers and scientiWc rationalists, ceased operation in 1880 after members could not Wnd enough common ground to begin debate. The rationalist position CliTord argues in “The Ethics of Beliefz” stands on the far side of the spectrum within this discourse. CliTord’s immoderate stance, along with his use of biblical rhetoric to argue a secularist position, was calculated to provoke conservative intellectuals and institutions.1 When his essay appeared in the January 1877 issue April 3, 2010 (11:17 am) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE2902\russell 29,2 050 red.wpd Reviews 189 of Contemporary Review, it proved antagonistic enough that it led in part to the dismissal of James Knowles as editor. Timothy Madigan’s book W.yK. CliVord and “The Ethics of Beliefz”z provides an introduction to and analysis of CliTord’s ethical philosophy. His goal is to outline the historical context from which CliTord’s most famous essay arose, and to analyze the merits and demerits of its argument through the viewpoints of critics and freethinkers from the nineteenth century to the present. Madigan gives a brief history of the Victorian crisis of faith, CliTord’s mathematical work, and the biographical details of his life. He presents the argument CliTord makes within “The Ethics of Beliefz”, and outlines the critical response from his contemporaries, including founding members of the Metaphysical Society William George Ward and Richard H. Hutton, poet Matthew Arnold, physiologist George John Romanes, and American psychologist and philosopher William James. Madigan also discusses the positions argued by other rationalists in the 1870s,1880sandlater(Leslie Stephen, Karl Pearson, FriedrichNietzsche, Charles Peirce and Bertrand Russell) and by modern philosophers who have contributed to the rationalist/religionist debate (C.yS. Lewis, J.yL. Mackie, Michael Martin, Peter van Inwagen, Susan Haack, Anthony Quinton, and Lorraine Code). In Chapter 6 Madigan presents his own defence of CliTord’s ethics of belief. While early sections of the book provide a helpful summary of previously published work, I found Madigan’s discussion of CliTord’s writings on psychology and theory of mind particularly valuable (pp. 58–65). Madigan notes positively that CliTord’s contribution helped steer the early development... (shrink)