Ode to Math Mathematics, as such, does not exist in nature. At its basic, simplest level the relationship between arithmetic and natural phenomena seems obvious. For example, if a farmer has two cows in one field and three in another, then he can see how many he has altogether. If he wants to convey this information to another person, he can establish a one-to-one correspondence between his fingers and the cows, holding up two fingers and then another three, to produce a result for the total, symbolically represented by the five fingers. When he runs out of fingers, he has to start over, while keeping in mind the ten that he has already counted. If he wants to record this calculation, he can make two marks on papyrus to represent the two cows, or fingers, etc. When he gets tired of making all of those marks, it's natural that he will adopt a different symbol for two marks (ll - 2), (lll - 3), etc. So, we can see how the development of the simplest math wa...
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