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Whenever, I see those elementary algebra word problems about "rates of work", I think of Ambrose Bierce's definition of Logc:
(Quoting it from https://www.uta.edu/philosophy/faculty/burgess-jackson/Ambrose Bierce (Logic).pdf )
(Quoting it from https://www.uta.edu/philosophy/faculty/burgess-jackson/Ambrose Bierce (Logic).pdf )
Logic, n.
The art of thinking and reasoning in strict accordance with the liitations and incapacities of the
human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a
conclusion—thus:
Major Premise: Sixty men can do a piece of work sixty times as quickly as one man.
Minor Premise: One man can dig a post-hole in sixty seconds; therefore—
Conclusion: Sixty men can dig a post-hole in one second.
This may be called the syllogism arithmetical, in which, by combining logic and mathematics, we obtain a
double certainty and are twice blessed.
(Ambrose Bierce, The Devil's Dictionary)