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" I was using, while in the other case the author was using a quantity of debt by way of illustration, and in order to adapt the reasoning to my example it was necessary to change some of the words, but if I changed the reasoning in any sense it was done... "
A School Algebra - Page 254
by Simon Newcomb - 1882 - 279 pages
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The Analyst, Volumes 9-10

Electronic journals - 1882 - 452 pages
...of the words, but if I changed the reasoning in any sense it was done inadvertantly. The author said ''For since the debt is halved at every payment, if...be equal to the whole of it, which is impossible." I said, "Since the remainder is halved, if there was any movement that would overcome the entire remainder,...
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The Analyst, Volumes 8-10

Mathematics - 1881 - 608 pages
...of the words, but if I changed the reasoning in any sense it was done inadvertantly. The author said "For since the debt is halved at every payment, if...whole remaining debt, the half of a thing would be final to the whole of it, which is impossible." J said, "Since the remainder is halved, if there was...
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Algebra for Schools and Colleges

Simon Newcomb - Algebra - 1884 - 576 pages
...payment he would discharge one-half the remaining debt. Now there are two propositions to be understood in reference to this subject. I. The entire debt can...assignable limit by continuing to pay half of it. For, however small the debt may be made, another payment will make it smaller by one-half; hence there...
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The American Mathematical Monthly: The Official Journal of the ..., Volume 30

Mathematicians - 1923 - 494 pages
...years ago. If half a debt is paid, then half the remaining debt, and so on, Simon Newcomb argued that " since the debt is halved at every payment, if there...the whole remaining debt, the half of a thing would equal the whole of it which is impossible." "This is fallacious by proving too much," says De Volson...
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