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" M and N may be magnitudes, + the sign of addition of the second to the first. 2. M and N may be numbers, and + the sign of multiplying the first by the second. 3. M and N may be lines, and + a direction to make a rectangle with the antecedent for a base,... "
Trigonometry and Double Algebra - Page 97
by Augustus De Morgan - 1849 - 167 pages
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From Kant to Hilbert Volume 1 : A Source Book in the Foundations ..., Volume 1

William Bragg Ewald - Mathematics - 2005 - 678 pages
...N may be men, and + the assertion that the antecedent is the brother of the consequent. 5. M and TV may be nations, and + the sign of the consequent having fought a battle with the antecedent: and so on. |12| We may also illustrate the manner in which too limited or too extensive a meaning interferes with...
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From Kant to Hilbert Volume 1 : A Source Book in the Foundations ..., Volume 1

William Bragg Ewald - Mathematics - 2005 - 678 pages
...a symbolic calculus: how can it be made a significant one? In the following ways, among others. I. M and N may be magnitudes, + the sign of addition...having fought a battle with the antecedent: and so on. |12| We may also illustrate the manner in which too limited or too extensive a meaning interferes with...
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Negative Math: How Mathematical Rules Can be Positively Bent

Alberto A. Martinez - Mathematics - 2006 - 267 pages
...valid interpretations: Given symbols M, N, +, and one sole relation of combination, namely, that M + N is the same result (be it of what kind soever) as...having fought a battle with the antecedent: and so on.17 fundamental or general importance to any particular empirical analogy. Consider now the operation...
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Unknown Quantity:: A Real and Imaginary History of Algebra

John Derbyshire - Science - 2006 - 390 pages
...numbers, and + the sign of multiplying the first by the second. 3. M and N may be lines, and + the direction to make a rectangle with the antecedent...consequent having fought a battle with the antecedent. Plainly algebra was cutting loose from the world of numbers in the second quarter of the 19th century....
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