9780217400725

The Usefulness of Mathematical Learning Explained and Demonstrated

Format: Paperback

ISBN13: 9780217400725

Paperback|9780217400725


Overview

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: LECTURE III. Of the Identity of Arithmetic and Geometry. WH E N I treated in the foregoing Lechire concerning the Divifion of the Mathematical Sciences, I affirmed the Whole of Mathematics to be in fome fort contained and circumfcribed within the Bounds of Geometry. And indeed concerning the other Sciences then mentioned, I imagine no Body will much deny, but they are conveniently enough reduced to Geometry. But now I have brought a harder Tafk upon myfelf, to fhew allowable and fit Caufes for expunging Arithmetic out of the Lift of Mathematical Sciences, and as it were degrading the moft noble Science from the Degree which it has been fo long poflefled of. Albeit I am confcious to myfelf that I have committed no fuch Fault. Be it far from me to take away or feclude a Science fo excellent and profitable as that of Numbers from the Mathematics. I will rather reftore ft into its lawful Place, as being removed out of its proper Seat, and ingraffand unite it again into its native Geometry, the Stock from whence it has been plucked. Nay, my Confcience would not permit me to oppofe fo illuftrious and venerable an Authority, and obtrude fuch a monftrous Paradox upon Jou, if I did not put great Confidence in the Caufe have undertaken, and thought it very much to the Purpofe of Mathematics, that Arithmetic be accounted not only like and of kin to Geometry in Nature (or, according to the Saying of (f) Archytas of Tareatum, that antient Pythagorean Phalofopher, (f) Nicomachum i . Arith. its Sifter) but more nearly conjoined, yea altogether the fame, and wholly indiftinct from it. For I am convinced that Number really differs nothing from what is called Continued Quantity, but is only formed to exprefs and declare it; and confequently that Arithmetic and Geometry are not converfan...

ISBN-13

9780217400725

ISBN-10

0217400728

Weight

0.98 Pounds

Dimensions

9.00 x 6.00 x 0.67 In

List Price

$22.54

Format

Paperback

Pages

300 pages

Publisher

Published On

2009-08-01



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