Taking it as a whole: space, it is evident, must either be limited, that is, have an end, and circumference; or unlimited, that is, have no end, no circumference. These are contradictory suppositions; both, therefore, cannot, but one must, be true. Now... The Principles of Logic: For High Schools and Colleges - Page 144by Aaron Schuyler - 1869 - 168 pagesFull view - About this book
| Sir William Hamilton - Logic - 1860 - 506 pages
...that is, have no end, no circumference. These are contradictory suppositions; both, therefore, cannot, but one must, be true. Now let us try positively to...to conceive, the possibility of either of these two nmtually exclusive alternatives. Can we represent or realise in thought extension as absolutely limited... | |
| John Stuart Mill - Philosophy - 1865 - 578 pages
...have no end, " no circumference. These are contradictory supposi" tions ; both, therefore, cannot, but one must, be true. " Now let us try positively...can we mentally hedge round the whole of " space, conceivef it absolutely bounded, that is, so that " beyond its boundary there is no outlying, no surround"... | |
| John Stuart Mill - 1865 - 578 pages
...is, have no end, "no circumference. These are contradictory supposi" tions; both, therefore, cannot, but one must, be true. " Now let us try positively...can we mentally hedge round the whole of " space, conceivef it absolutely bounded, that is, so that " beyond its boundary there is no outlying, no surround"... | |
| John Stuart Mill - Knowledge, Theory of - 1865 - 342 pages
...is, have no end, no circumference. These are contradictory suppositions ; both, therefore, cannot, but one must, be true. Now, let us try positively to comprehend, positively to conceive, f the possibility of either of these two mutually exclusive alternatives. Can we represent, or realize... | |
| Sir William Hamilton - Logic - 1866 - 530 pages
...is, have no end, no circumference. These are contradictory suppositions ; both, therefore, cannot, but one must, be true. Now let us try positively to...mutually exclusive alternatives. Can we represent or realise in thought extension as absolutely limited ? in other words, can we mentally hedge round the... | |
| Aaron Schuyler - Logic - 1869 - 182 pages
..."Extension, then, may be viewed a« a whole or as a part ; and in each aspect, it affords us two incogitable contradictories. 1°. Taking it as a whole : Space,...other words, can we mentally hedge round the whole of apace, conceive it absolutely bounded, that is, so that beyond its boundary, there is no outlying,... | |
| John Stuart Mill - Philosophy - 1874 - 342 pages
...is, have no end, no cireumference. These are contradictory suppositions ; both, therefore, cannot, but one must, be true. Now, let us try positively to comprehend, positively to conccive,J tne possibility of either of these two mutually exclusive alternatives. Can we represent,... | |
| Dublin city, univ - 1885 - 476 pages
...word ? What is the obscurity in Hamilton's definition ? What is Professor Calderwood's definition ? in thought, extension as absolutely limited ? in other...the whole of space, conceive it absolutely bounded?" " The inlinite is conceived only by the thinking away of every character by which the tiuite was conceived."... | |
| John Stuart Mill - Philosophy - 1889 - 700 pages
...probably in the first " no circumference. These are contradictory supposi" tions; both, therefore, cannot, but one must be true. " Now let us try positively...mutually exclusive alternatives. Can we represent, or " realise in thought, extension as absolutely limited ? in " other words, can we mentally hedge round... | |
| Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1864 - 658 pages
...is, have no end, no circumference. These are contradictory suppositions ; both, therefore, cannot, but one must, be true. Now let us try positively to...mentally hedge round the whole of Space, conceive it as absolutely bounded, that is, so that beyond its boundary there is no outlying, no surrounding space... | |
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