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Numbers written on restaurant bills within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe.
This single statement took the scientific world by storm. It completely revolutionized it. So many mathematical conferences got held in such good restaurants that many of the finest minds of a generation died of obesity and heart failure and the science of math was put back by years.
Life, the Universe and Everything. New York: Harmony Books, 1982.
Loci: Convergence
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Mathematical Treasures
William Emerson's Treatise of Algebra
This is the title page of the Treatise of Algebra (1764) by William Emerson (1701 - 1782). Emerson was a prolific writer on mathematical subjects, including works on fluxions, trigonometry, and mechanics.
On pages 212-213, Emerson discusses the question of the value of a fraction x/y assuming both numerator and denominator vanish. Emerson treats this as an algebra problem, although, since he had written on the topic of fluxions, he understood that calculation of the values of such fractions was based on some notion of limit, even if that was only imperfectly understood.
On pages 214-215, Emerson continues the discussion of the values of fractions. Note that example 5 is taken directly from l'Hospital's Analyse des Infiniment Petits. In fact, the example was originally given to L'Hospital by Jacob Bernoulli and is the first example in L'Hospital's text of what we now know l'Hospital's rule.
On pages 336-337, we see how Emerson explained the solution of some algebra problems, showing his readers the step by step approach to solving these.
On pages 338-339, Emerson presents the general problem of oxen eating grass, where the grass continues to grow. A specific example of this problem was given by Isaac Newton in his Arithmetica Universalis, first published in 1707.