Rigor and Clarity

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

CLARITY · Epistemology · Library science · Mathematical practice · Mathematics education · Sociology · Computer Science · Historical and Literary Studies · History and Theory of Mathematics · Mathematics · Philosophy · Philosophy and History of Science

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• The emergency which has arrived’

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• A Natural History of Mathematics

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• Philosophers at War

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• The Aim and Structure of Physical Theory

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• The physicalist tradition in early nineteenth century French geometry

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• Epistemological and Social Problems of the Sciences in the Early Nineteenth Century

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• The origins of Cauchy's rigorous calculus

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• Science, Education and Napoleon I

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• Science, Education and the French Revolution

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• Augustus De Morgan, the History of Mathematics, and the Foundations of Algebra

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• Never at Rest

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