Inaugural Address of the Great Exhibition of the Works of Industry of All Nations, London (1851).
Context: Nobody who has paid any attention to the peculiar features of our present era will doubt for a moment that we are living at a period of most wonderful transition which tends rapidly to the accomplishment that great end to which, indeed, all history points—the realization of the unity of mankind.... The distances which separated the different nations and parts of the globe are rapidly vanishing before the achievements of modern invention, and we can traverse them with incredible ease; the languages of all nations are known, and their acquirement placed within the reach of everybody; thought is communicated with the rapidity and even by the power of lightning... The knowledge acquired becomes at once the property of all of the community at large... no sooner is a discovery or invention made, than it is already improved upon and surpassed by competing efforts: the products of all quarters of the globe are placed at our disposal, and we have only to choose which is the best and the cheapest for our purposes, and the powers of production are entrusted to the stimulus of competition and capital.... Science discovers these laws of power, motion and transformation; industry applies them to raw matter which the earth yields us in abundance, but which becomes valuable only by knowledge.
“Mathematics is the science of the functional laws and transformations which enable us to convert figured extension and rated motion into number.—Howison, G. H.”
"The Departments of Mathematics, and their Mutual Relations," Journal of Speculative Philosophy, Vol. 5, p. 170. Reported in Moritz (1914)
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George Holmes Howison 135
American philosopher 1834–1916Related quotes
Journal of Speculative Philosophy, Vol. 5, p. 175. Reported in: Memorabilia mathematica or, The philomath's quotation-book, by Robert Edouard Moritz. Published 1914
Journals
1950s, The Impact of Science on Society (1952)
Source: Researches into the Mathematical Principles of the Theory of Wealth, 1897, p. 3 ; Cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/198/mode/2up, (1914) p. 33: About the nature of mathematics
Source: 1990s and beyond, The Book of Probes : Marshall McLuhan (2011), p. 298
1940s, Philosophy for Laymen (1946)
Context: There are a number of purely theoretical questions, of perennial and passionate interest, which science is unable to answer, at any rate at present. Do we survive death in any sense, and if so, do we survive for a time or for ever? Can mind dominate matter, or does matter completely dominate mind, or has each, perhaps, a certain limited independence? Has the universe a purpose? Or is it driven by blind necessity? Or is it a mere chaos and jumble, in which the natural laws that we think we find are only a phantasy generated by our own love of order? If there is a cosmic scheme, has life more importance in it than astronomy would lead us to suppose, or is our emphasis upon life mere parochialism and self-importance? I do not know the answer to these questions, and I do not believe that anybody else does, but I think human life would be impoverished if they were forgotten, or if definite answers were accepted without adequate evidence. To keep alive the interest in such questions, and to scrutinize suggested answers, is one of the functions of philosophy.
Physics and Philosophy (1958)
Context: The equation of motion holds at all times, it is in this sense eternal, whereas the geometrical forms, like the orbits, are changing. Therefore, the mathematical forms that represent the elementary particles will be solutions of some eternal law of motion for matter. Actually this is a problem which has not yet been solved.<!-- p. 72
Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 37.
in What is Mathematics, in [Hilary Putnam, Mathematics, matter, and method, Cambridge University Press, 1979, 0521295505, 60]