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" ... let him, for the present, reject the example in which it occurs, and defer the consideration of such equations until he has read the explanation of them to which we shall soon come. Above all, he must reject the definition still sometimes given of... "
A Course in Algebra: Being Course One in Mathematics in the University of ... - Page 8
by Charles Ambrose Van Velzer, Charles Sumner Slichter - 1888 - 216 pages
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 pages
...shall soon come. Above all, he must reject the definition still sometimes given of the quantity - a, that it is less than nothing. It is astonishing that...either of which is ten thousand times more possible. These remarks do not apply to such an expression as — b + a, which we sometimes write instead of...
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Library of Useful Knowledge: On the study and difficulties of mathematics ...

Mathematics - 1836 - 530 pages
...shall soon come. Above all, he must reject the definition still sometimes given of the quantity - a, that it is less than nothing. It is astonishing that...either of which is ten thousand times more possible. These remarks do not apply to such an expression as — b + a, which we sometimes write instead of...
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836 - 352 pages
...shall soon come. Above all, he must reject the definition still sometimes given of the quantity - a, that it is less than nothing. It is astonishing that...than nothing; above all, that the notion should have outmost luminous writers on algebra m our lived the belief in judicial astrology and " li1- the existence...
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Number and Its Algebra: Syllabus of Lectures on the Theory of Number and Its ...

Arthur Lefevre - Algebra - 1896 - 242 pages
...one reads, " Above all, he must reject the definition, still sometimes given of the quantity — a, that it is less than nothing. It is astonishing that...either of which is ten thousand times more possible." The truly astonishing thing concerning the human intellect is that such a man as l)e Morgan could have...
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On the Study and Difficulties of Mathematics

Augustus De Morgan - Algebra - 1898 - 316 pages
...shall soon come. Above all, he must reject the definition still sometimes given of the quantity — a, that it is less than nothing. It is astonishing that...either of which is ten thousand times more possible. These remarks do not apply to such an expression as — b -\- a, which we sometimes write instead of...
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Learn from the Masters!

Frank Swetz - Mathematics - 1995 - 322 pages
...add and subtract. Above all he must reject the definition still sometimes given of the quantity -a that it is less than nothing. ... It is astonishing...notion should have outlived the belief in judicial astronomy and the existence of witches, either of which is ten thousand times more possible. There...
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Negative Math: How Mathematical Rules Can be Positively Bent

Alberto A. Martínez - Mathematics - 2006 - 288 pages
...he [the student of algebra] must reject the definition still sometimes given of the quantity —a, that it is less than nothing. It is astonishing that...witches, either of which is ten thousand times more possible.5" To make sense of the operations with the negative sign, De Morgan recommended that the...
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