A line, as defined by geometers, is wholly inconceivable. We can reason about a line as if it had no breadth; because we have a power, which is the foundation of all the control we can exercise over the operations of our minds; the power, when a perception... The Collected Mathematical Papers of Arthur Cayley - Page 431by Arthur Cayley - 1896 - 643 pagesFull view - About this book
| Christianity - 1843 - 750 pages
...senses, or a conception to our intellects, — not indeed of conceiving & line without breadth, — but of attending to a part only of that perception or conception, instead of the whole. It is an error to suppose, because we resolve to confine our attention to a certain number of the properties... | |
| 1843 - 744 pages
...without breadth, there not only are lines whose breadth is inappreciable to the senses, but the mind has the power, when a perception is present to our senses, or a conception to our intellects, — not indeed of conceiving a line without breadth, — but of attending to a part only of that perception... | |
| Christianity - 1843 - 744 pages
...without breadth, there not only are lines whose breadth is inappreciable to the senses, but the mind has the power, when a perception is present to our senses, or a conception to our intellects,—not indeed of conceiving a line without breadth,—but of attending to a part only of... | |
| Theology - 1856 - 984 pages
...breadth ; because we have a power, which is the foundation of all the control we can exercise over our minds, — the power, •when a perception is...conception to our intellects, of attending to a part of that perception or conception, instead of the whole. But we cannot conceive a line without breadth... | |
| Charles Hodge, Lyman Hotchkiss Atwater - Bible - 1856 - 784 pages
...no breadth ; because we have a power which is the foundation of all the control we can exercise over our minds; the power when a perception is present...conception to our intellects, of attending to a part of that perception or conception, instead of the whole. But we cannot conceive a line without breadth... | |
| James Haig - Knowledge, Theory of - 1861 - 338 pages
...Abstraction. Abstraction " is the foundation of all the control we can exercise over the operations of our own minds ; the power, when a perception is present to...perception or conception, instead of the whole."' But what is the result of this power ? what is the effect of this operation ? Has it no result or no effect... | |
| John Stuart Mill - Knowledge, Theory of - 1865 - 582 pages
...line as if it had no breadth ; because we have a power, which is the foundation of all the control we can exercise over the operations of our minds ;...of the whole. But we cannot conceive a line without bmulth ; we can form no mental picture of such a line : all the lines which we have in our minds are... | |
| Joseph Alden - Philosophy - 1866 - 326 pages
...foundation of the control we can exereise over the operations of our minds; the power, when a pereeption is present to our senses, or a conception to our intellects, of attending to a part only of that pereeption or conception, instcad of the whole. But we cannot conccive of a line without brcadth; wo... | |
| Joseph Alden - Philosophy - 1867 - 312 pages
...about a line as if it had no breadth ; because we have a power, which is the foundation of the control we can exercise over the operations of our minds ;...conception, instead of the whole. But we cannot conceive, of a line without breadth; we can form no mental picture of such a line : all the lines which we have... | |
| Cambridge Philosophical Society - Philosophy - 1871 - 572 pages
...line as if it had no breadth ; because we have a power, which is the foundation of all the control we can exercise over the operations of our minds ; the power, when the perception is present to our senses, or a conception to our intellect, of attending to a part only... | |
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