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" English school of mathematicians — said a few years ago: *"I would myself say that the purely imaginary objects are the only realities, the Zv-cio-; fara in regard to which the corresponding physical objects are as the shadows in the cave; and it is... "
The Collected Mathematical Papers of Arthur Cayley - Page 431
by Arthur Cayley - 1896 - 643 pages
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The Meaning of Education: Contributions to a Philosophy of Education

Nicholas Murray Butler - Education - 1915 - 408 pages
...ago:1 "I would myself say that the purely imaginary objects are the only realities, the 6'mos 8vra, in regard to which the corresponding physical objects...the existence of a corresponding physical object; and if there is no conception of straightness, then it is meaningless to deny the conception of a perfectly...
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The Meaning of Education: Contributions to a Philosophy of Education

Nicholas Murray Butler - Education - 1915 - 410 pages
...only by means of them that we are able to deny the existence of a corresponding physical object; and if there is no conception of straightness, then it is meaningless to deny the conception of a perfectly straight line." The physicist, also, is coming to see that his principle...
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Fact and Feeling: Baconian Science and the Nineteenth-century Literary ...

Jonathan Smith - Literary Criticism - 1994 - 294 pages
...emphasis on physical lines by arguing that "the purely imaginary objects are the only realities ... in regard to which the corresponding physical objects...then it is meaningless to deny the existence of a perfect straight line" (11 :433) . Cayley, in effect, reverses Lewes' terms, but the results are the...
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Educational Review, Volume 10

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - Education - 1895 - 538 pages
...: " "I would myself say that the purely imaginary objects are the only realities, the OTTK>? ovra, in regard to which the corresponding physical objects...the existence of a corresponding physical object; and if there is no conception of straightness, then it is meaningless to deny the conception of a perfectly...
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Transactions of the Pharmaceutical Meetings

Pharmacy - 1884 - 1106 pages
...conceive. I would myaelf fay that the purely imaginary objects are the only realities, the orras оута, in regard to which the corresponding physical objects...only by means of them that we are able to deny the «rxutence of a corresponding physical object ; if there is no conception of straightness, then it...
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Writings of Charles S. Peirce: 1879-1884

Charles Sanders Peirce - Philosophy - 1982 - 778 pages
...mind: "I would myself say that the purely imaginary objects are the only realities, the oVrcoq ovra, in regard to which the corresponding physical objects are as the shadows in the cave." The quotation is from the "Inaugural Address by Arthur Cayley," Nature 28 (1883): 492. plan, Peirce...
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