 | United States. Bureau of Education - Education - 1897 - 1250 pages
...ago:1 "I would myself say that the purely imaginary objects are the only realities, the orna? atra, 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... | |
 | Apologetics - 1886 - 508 pages
...public men, great or small. PROF. CAYLEY [address as President of the British Association, 1883] says, " If there is no conception of straightness, then it...deny the existence of a perfectly straight line." Is this true ? If it be not, where is the fallacy? REV. MR. RAINSFORD says that Dr. Cheyne, of Oxford,... | |
 | Industrial arts - 1884 - 594 pages
...conceive. I would myself say that the purely imaginary objects are the only realities, the ÙVTWÇ 01та, in regard to which the corresponding physical objects...existence of a corresponding physical object ; if there ¡в no con•ception of straightuess, then it is meaningless to deny the existence of a perfectly... | |
 | National Education Association of the United States - Education - 1895 - 1120 pages
...ago: *"I would myself say that the purely imaginary objects are the only realities, the OVTW<; fara 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... | |
 | United States. Bureau of Education - Education - 1897 - 1250 pages
...realities, the ovTdoi or та, in regard to which the corresponding physical objects are as the shadows^in the cave; and it is only by means of them that we...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... | |
 | Nicholas Murray Butler - Education - 1898 - 256 pages
...ago : 1 "I would myself say that the purely imaginary objects are the only realities, the OITW? Svra, in regard to which the corresponding physical objects...of them that we are able to deny the existence of a correspond1 Presidential address, British Association for the Advancement of Science, Southport, 1883.... | |
 | Nicholas M. Butler - 1898 - 256 pages
...: l "I would myself say that the purely imaginary objects are the only realities, the ovrcof ovra, in regard to which the corresponding physical objects...of them that we are able to deny the existence of a correspond1 Presidential address, British Association for the Advancement of Science, Southport, 1883.... | |
 | Dorothea Beale, Lucy Helen Muriel Soulsby, Jane Frances Dove - Teaching - 1898 - 454 pages
...the region as Professor Cayley has said, "imaginary objects are the only realities, the ovrax; ovra, in regard to which the corresponding physical objects are as the shadows in the cave" ;l if, on the one hand, it opens the gates of science, on the other it leads us to philosophy, and... | |
 | Nicholas Murray Butler - Education - 1898 - 256 pages
...address, British Association for the Advancement of Science, Southport, 1883. ing 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... | |
 | Hastings Berkeley - Mathematics - 1910 - 279 pages
...' purely imaginary objects', which, according to Cayley, are the 'only realities ', the OVTOS ovra, in regard to which the corresponding physical objects are as ' the shadows in the cave '. Cayley and Klein are thus at one in the supposition that geometrical axioms cannot derive from experience,... | |
| |
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... 
