The ArgumentIt has long been apparent that in the nineteenth century, mathematics in France and England developed along different lines. The differences, which might well be labelled stylistic, are most easy to see on the foundational level. At first this may seem surprising because it is such a fundamental area, but, upon reflection, it is to be expected. Ultimately discussions about the foundations of mathematics turn on views about what mathematics is, and this is a question which is answered by (...) a variety of different groups including mathematicians, students, curricular planners, parents, etc. Mathematical practice rests on some kind of mixture of the answers to this fundamental question which come from these diverse groups. Comparing the cultural matrices which supported mathematics in France and Britain in the first decades of the nineteenth century sheds light on the real though often subtle differences in the ways the subject was pursued in the two countries. (shrink)

ArgumentThis paper traces the changing fortunes of natural theology in two generations of an English family. The group is represented in the first generation by the Unitarian radical, William Frend, and in the second by the spiritualist Sophia Frend De Morgan and her husband, the mathematician Augustus De Morgan. The Frend/DeMorgans were distinguished from the naturalistic Darwins by their commitment to reason; they were a quintessentially urban group whose impulses to natural theology flowed from a God they encountered through their (...) minds. For William Frend, natural theology was rooted in a tightly disciplined, linguistic view of reason that linked theological and mathematical understandings; in the De Morgan's generation, however, understandings of mathematics and of language changed in ways that undercut the power of Frend's reasoned approach. In its rise and fall this family story of reasoned theology is co-temporal with the natural theology that was wrecked on the rocks of Darwinian evolutionary theory. (shrink)