Works
Boole's first published paper was Researches in the theory of analytical transformations, with a special application to the reduction of the general equation of the second order, printed in the Cambridge Mathematical Journal in February 1840 (Volume 2, no. 8, pp. 64–73), and it led to a friendship between Boole and Duncan Farquharson Gregory, the editor of the journal. His works are in about 50 articles and a few separate publications.
In 1841 Boole published an influential paper in early invariant theory. He received a medal from the Royal Society for his memoir of 1844, On A General Method of Analysis. It was a contribution to the theory of linear differential equations, moving from the case of constant coefficients on which he had already published, to variable coefficients. The innovation in operational methods is to admit that operations may not commute. In 1847 Boole published The Mathematical Analysis of Logic, the first of his works on symbolic logic.
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“Was it an intellectual consequence of this ‘rebirth,’ of this new dignity and rigor, that, at about the same time, his sense of beauty was observed to undergo an almost excessive resurgence, that his style took on the noble purity, simplicity and symmetry that were to set upon all his subsequent works that so evident and evidently intentional stamp of the classical master.”
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“They commonly celebrate those beaches only which have a hotel on them, not those which have a humane house alone. But I wished to see that seashore where man’s works are wrecks; to put up at the true Atlantic House, where the ocean is land-lord as well as sea-lord, and comes ashore without a wharf for the landing; where the crumbling land is the only invalid, or at best is but dry land, and that is all you can say of it.”
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“The slightest living thing answers a deeper need than all the works of man because it is transitory. It has an evanescence of life, or growth, or change: it passes, as we do, from one stage to the another, from darkness to darkness, into a distance where we, too, vanish out of sight. A work of art is static; and its value and its weakness lie in being so: but the tuft of grass and the clouds above it belong to our own travelling brotherhood.”
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