zoobyshoe
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No, It proves it isn't necessary to have calendars to have successful agriculture.sophiecentaur said:What does that prove, except that they were more vulnerable to nature.
The only thing you need for agricultural timing, it should be obvious, is simple memory of the course of the seasons for a year, and the knowledge that that fairly short cycle repeats endlessly. It isn't necessary to know a specific date. It isn't necessary to know there are 365 days in a year. All you need to know is things like, you have about a 4 1/2 moon window to grow a plant that takes about 2 1/2 moons to mature. That sort of rule of thumb.In any case, how can anyone be sure of how they actually worked things out? Without a detailed written record, we couldn't tell what proto mathematical tricks they were using.
And, we have lots of detailed written records of how various primitive peoples worked out all kinds of things, records made by literate people who encountered and interacted with them, both ancient and modern.
Googling tells me the Sumerians had an astrological system. The calendars they worked out were probably more linked to that than anything else.
micromass said:"Advanced" mathematical notation can be found in any big city throughout history. So I think it is reasonably that the existence of the big cities gave a big impetus towards doing math.
I agree with this. Math was needed to build cities and empires and was explored for those purposes, and the converse is true; the existence of cities and empires allowed for the dedicated mathematician, the architect, the accountant, the astrologer, etc. In more primitive societies everyone has to be able to do everything such that no one gets really expert at anything the way city dwellers can.micromass said:It only became useful once you needed to work with big numbers and do difficult calculations. Those things are needed in big cities and empires.