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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: CHAPTER II. COMPOUND QUANTITATIVE REASONING. 276. Of intellectual acts the highest are those which constitute Conscious Reasoning?reasoning called conscious to distinguish it from the unconscious or automatic reasoning that forms so large an element in ordinary perception. Of conscious reasoning the kind containing the greatest number of components definitely combined is Quantitative Reasoning. And of this, again, there is a division, more highly involved than the rest, which we may class apart as Compound Quantitative Reasoning. With it, then, we must set out. Even in Compound Quantitative Reasoning itself there are degrees of composition, and to initiate our analysis rightly we must take first the most composite type. Let us contemplate an example of it. 277. Suppose an engineer has constructed an iron tubular bridge, and finds that it is just strong enough to bear the strain it is subject to?a strain resulting mainly from its own weight. Suppose further that he is required to construct another bridge of like kind, but of double the span. Possibly it will be concluded that for this new bridge he might simply magnify the previous design in all its particulars?make the tube double the depth, double the width, and double the thickness, as well as double thelength. But ho sees that a bridge so proportioned would not support itself?he infers that the depth or the thickness must be more than double. By what acts of thought does he reach this conclusion ? He knows, in the first place, that the bulks of similar masses of matter are to each other as the cubes of the linear dimensions; and that, consequently, when the masses are not only similar in form but of the same material, the weights also are as the cubes of the linear dimensions. He knows, too, that in similar ma...
| ISBN-13 | 9781458954459 |
|---|---|
| ISBN-10 | 1458954455 |
| Weight | 1.58 Pounds |
| Dimensions | 9.00 x 6.00 x 1.10 In |
| List Price | $29.87 |
| Format | Paperback |
|---|---|
| Pages | 492 pages |
| Publisher | |
| Published On | 2009-08-01 |
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