...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...

...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...

...has known in his experience. 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...

...breadth, nor perfectly straight. ... A line as defined by geometers is wholly inconceivable. We can reason about a line as if it had no breadth ; because we...foundation of all the control we can exercise over our minds; the power when a perception is present to our senses, or a conception to our intellects,...

...breadth, nor perfectly straight A line as defined by geometers is wholly inconceivable. We can reason about a line as if it had no breadth ; because we...foundation of all the control we can exercise over our minds, — the power, •when a perception is present to our senses, or a conception to our intellects,...

...Induction, Causation, Numbers, fyc.—But let us hear what he says about 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 our senses, or a conception to our intellects,...

...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...

...— (Leviathan, ch. 3). 1 "A line, as defined by geometers, in wholly inconceivable. We can reason about a line as if it had no breadth ; because we...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...

...— (Leviathan, ch. 3). ' "A line, as defined by geometers, is wholly inconceivable. We can reason about a line as if it had no breadth ; because we...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 u part only...

...that we have got Euclid's line — length without breadth. In fact, Mill tells us* that "we can reason about a line as if it had no breadth " because we have " the power, when a perception is present to our senses, or a conception to our intellects, of attending...