In other words, the given time of arrival is the one moment of time at which it is impossible that any member of the party will arrive. The second nonabsolute number is the given time of arrival, which is now known to be one of the most bizarre of mathematical concepts, a recipriversexcluson, a number whose existence can only be defined as being anything other than itself. This will vary during the course of the first three telephone calls to the restaurant, and then bear no apparent relation to the number of people who actually turn up, or to the number of people who subsequently join them after the show/match/party/gig, or to the number of people who leave when they see who else has turned up. The first nonabsolute number is the number of people for whom the table is reserved. Just as Einstein observed that space was not an absolute but depended on the observer's movement in space, and that time was not an absolute, but depended on the observer's movement in time, so it is now realized that numbers are not absolute, but depend on the observer's movement in restaurants. 177.īistromathics itself is simply a revolutionary new way of understanding the behavior of numbers. Simmons, Calculus Gems, New York: Mcgraw Hill, Inc., 1992, p. He is like the fox, who effaces his tracks in the sand with his tail. 188.īy studying the masters and not their pupils. In other words,the most important parts of mathematics stand without a foundation.
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If you disregard the very simplest cases, there is in all of mathematics not a single infinite series whose sum has been rigorously determined. Quotes from the Mathematical Quotations ServerĬollected by Mark R.
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