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Source: The Chess Player's Chronicle (January 1878), vol. 2, no. 13, page 31 https://books.google.com/books?id=xjACAAAAYAAJ&pg=PA31#v=onepage&q&f=false: Annotation by William Wayte (1829-1898): "Still flying at high game, in accordance with the rule, "When you see a good move look out for a better." "
Source: "[I]t is necessary always to bear in mind these prudential rules, viz.: having a good move, to seek for a better." Dominico Ercole del Rio, <i>The Incomparable Game of Chess</i>, trans. J.S. Bingham (London 1820), 35-36. Note Bingham incorrectly credits Ercole del Rio with work that was authored by Domenico Lorenzo Ponziani
“Good approximations often lead to better ones.”
Mathematical Methods in Science (1977)
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George Pólya 35
Hungarian mathematician 1887–1985Related quotes
“Often the fear of one evil leads us into a worse.”
Souvent la peur d'un mal nous conduit dans un pire.
Canto I, l. 64
The Art of Poetry (1674)
“One's real life is so often the life that one does not lead.”
“Any book which inspires us to lead a better life is a good book.”
Source: The Quotable Fulton Sheen: A Topical Compilation of the Wit, Wisdom, and Satire of Archbishop Fulton J. Sheen
"The Mathematician", in The Works of the Mind (1947) edited by R. B. Heywood, University of Chicago Press, Chicago
Context: I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is … governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas.
“One question always leads to another question. Some things are better to wonder about.”
Source: Black Blood
“To be good and lead a good life means to give to others more than one takes from them.”
Source: The First Step (1892), Ch. VII