 | 1843 - 744 pagina’s
...merely thinking of straight lines without actually looking at them ; I contend, that we do not believe this truth on the ground of the imaginary intuition...that the imaginary lines exactly resemble real ones." — Vol. ip 310. But the great argument against Mr. Mill's position is, that axioms are conceived by... | |
 | 1843 - 744 pagina’s
...merely thinking of straight lines without actually looking at them; I contend, that wo do not believe this truth on the ground of the imaginary intuition simply, but because we know that the imaginary liues exactly resemble real ones."—Vol. ip 310. But the great argument against Mr. Mill's position... | |
 | John Stuart Mill - 1846 - 624 pagina’s
...merely thinking of straight lines without actually looking at them ; I contend, that we do not believe this truth on the ground of the imaginary intuition...much certainty as we could conclude from one real limy to another. The conclusion, therefore, is still an induction from observation. And we should not... | |
 | William Whewell - 1849 - 126 pagina’s
...are as fit subjects of " geometrical experimentation" as the realities themselves. He says, that " we know that the imaginary lines exactly resemble real ones ;" and that we obtain this knowledge respecting the characteristic property of the idea of space by experience ; though... | |
 | William Whewell - 1849 - 104 pagina’s
...are as fit subjects of " geometrical experimentation" as the realities themselves. He says, that " we know that the imaginary lines exactly resemble real ones ;" and that we obtain this knowledge respecting the characteristic property of the idea of space by experience ; though... | |
 | John Stuart Mill - 1852 - 640 pagina’s
...looking at them ; I jf contend, that we do not believe this truth on the ground of the imagi- \T nary intuition simply, but because we know that the imaginary...an induction from observation. And we should not be authorized to substitute bbservation of the image in our mind, for observation of the reality, if we... | |
 | Charles Hodge, Lyman Hotchkiss Atwater - 1856 - 784 pagina’s
...whatever length it extends them in thought, it sees cannot enclose a space, and that we " do not believe this truth on the ground of the imaginary intuition simply, but because we know the imaginary lines exactly resemble real ones, and that we may conclude from them to real ones, with... | |
 | 1856 - 984 pagina’s
...whatever length it extends them in thought, it sees cannot enclose a space ; and that we " do not believe this truth on the ground of the imaginary intuition simply, but because we know the imaginary lines exactly resemble real ones, and that we may conclude from them to real ones with... | |
 | John Stuart Mill - 1858 - 666 pagina’s
...merely thinking of straight lines without actually looking at them ; I contend, that we do not believe this truth on the ground of the imaginary intuition...still an induction from observation. And we should not bo authorized to substitute observation of the image in our mind, for observation of the reality, if... | |
 | John Stuart Mill - 1859 - 632 pagina’s
...merely thinking of straight lines without actually looking at them j I contend, that we do not believe this truth on the ground of the imaginary intuition...resemble real ones, and that we may conclude from them to Teal ones Jwrith quite as. much certainty as we could conclude from one , real line to another. The... | |
| |
I contend that we do not believe this truth on the ground of the imaginary intuition simply, but because we know that the imaginary lines exactly resemble real ones and that we may conclude from them to real ones with quite as much certainty as we could... 
