Did Ancient Farming Needs Shape Math and Language Development?

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Discussion Overview

The discussion explores the relationship between ancient farming practices and the development of mathematics and language, particularly in the context of tracking astronomical cycles. Participants examine whether these developments were necessary for societal growth and agricultural success, touching on historical examples from Mesopotamia and other civilizations.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that mathematics and language arose from the need to track astronomical cycles for successful farming and population growth.
  • Others argue that complex societies inevitably develop mathematics for various practical needs, such as taxation and land division.
  • A participant expresses concern that mathematics has evolved into a dominant tool that may limit progress in other areas of science.
  • Another viewpoint suggests that natural languages likely preceded farming and that basic observational skills could suffice for agricultural planning without formal mathematics.
  • Some participants reference historical texts linking farming practices to astronomical events, suggesting a deeper connection between the two.
  • There is a claim that mathematics became essential with the advent of land ownership and surveying, indicating a shift in its role in society.
  • One participant mentions the existence of ancient Babylonian tablets containing Pythagorean triples as evidence of early mathematical development.
  • Another participant highlights that while astronomy is linked to farming, it does not necessarily require mathematics for observation.
  • Some participants note that the desire to explore and understand the world also contributed to the development of mathematical concepts.

Areas of Agreement / Disagreement

Participants express a range of views, with no consensus on the necessity of mathematics for tracking natural cycles or its role in the development of language. The discussion remains unresolved, with competing perspectives on the origins and implications of mathematics in ancient societies.

Contextual Notes

Some arguments depend on interpretations of historical texts and the definitions of mathematics and language, which may vary among participants. There are unresolved assumptions regarding the exact role of mathematics in agricultural practices and societal development.

  • #61
sophiecentaur said:
What does that prove, except that they were more vulnerable to nature.
No, It proves it isn't necessary to have calendars to have successful agriculture.
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.
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.

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.
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.
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.
 
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  • #62
Necessity is the mother of invention. The development of math enhanced survival and population growth.
 
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  • #63
The Balinese calendar is 420 days. It is numerological.
 
  • #64
"zoobyshoe " The Romans used pebbles "

They used them for what ?

Isopsephy ?

About the only thing they used pebbles for was to teach figurate numbers { but that is entirely another conversation }

Babylonian S type cuniform is the basis of what I am discussing, thanks, not rocks
 
  • #65
Look, try to keep an accurate calendar using months that are off from the average Synodic length and see what happens

Average SYM = 29.53 days

12.369 SYM / year = 365.25657

That's a Julian year

Now try to keep that with a 30 day month

12.369 SYM / year x 30 days = 371.07

Now look at how far off you drift in the space of just 5 years

{ 30 day months } = 1855.35 days

{ 29.53 day months } = 1826.28285 days

In just 5 years you are off by almost a full month

That is disastrous for a farmer who is trying to keep a schedule

I guess some of you have never attempted farming on a large scale ?
 
  • #66
If you don't think you need to know the cycles accurately, you have obviously never farmed

It's not as easy as just walking outside and throwing seeds on the ground

I don't think you are considering the logistics of large scale manual farming, this much is obvious

also, simply by information entropy in historical records you can plainly see the information that was the most important is what they left the most records of:

Farming and astronomical cycles are two of these things they must have deemed important otherwise they wouldn't have been so meticulous about keeping records

Unless there is a plethora of undiscovered cuniform regarding how to sew buttons on shirts, or how to wage war, or how to tell lame jokes, and I haven't seen those yet
 
  • #67
micromass said:
It is well known. I already linked a book earlier in the thread that discusses this.
You linked a book? It just mentions positions of constellations for planting times? I already agreed with that, but I don't see any reference to math in your post.

I think this could be a really interesting thread, but we need to do some clean up and follow rules (not you), nothing has improved since Drakkith's re-opening message. If this thread is going to become meaningful, we need to agree on some rules.
 
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  • #68
Isaacsname said:
Ok, ok, don't get all upset, just hold on a second, nobody even asked me for sources yet and you're jumping my case. If you wanted sources you should just ask
I'm not upset, our rules stipulate acceptable sources must be cited, that was brought up by micromass and then mentor drakkith said so right before you posted again without sources.

It seems this thread continues to deteriorate into arguing back and forth. I don't have much time and perhaps this was already linked.

https://en.wikipedia.org/wiki/History_of_mathematics#Prehistoric_mathematics
 

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