this post was submitted on 01 Oct 2023
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[–] [email protected] 169 points 1 year ago* (last edited 1 year ago) (4 children)

They give a bit more context in this video. (from 2017)

By the way, I got that link from an article in The Guardian, and I can't find anything in either of those two articles that really adds on top of what was known in 2017. It could just be hard for a layperson to understand, and so was oversimplified?

TLDW is that researchers have known for decades that this tablet showed the Babylonians knew the Pythagorean Theorem for 1000 years before Pythagoras was born. So, that part isn't new.

They seem to be saying that what's new is that they understand each line of this tablet describes a different right triangle, and that due to the Babylonians counting in base 60, they can describe many more right triangles for a unit length than we can in base 10.

They feel like this can have many uses in things like surveying, computing, and in understanding trigonometry.

My take is that this was a very interesting discovery, but that they probably felt pressure to figure out a way to describe it as useful in the modern world. But we've known about the useful parts of this discovery for forever. Our clocks are all base 60. And our computers are binary, not base 10, just to start with.

We overvalue trying to make every advance in knowledge immediately useful. Knowledge can be good for its own sake.

[–] [email protected] 48 points 1 year ago (2 children)

"Having many more right triangles for a unit length" would have an incredible benefit in constructing enormous triangly things.

[–] [email protected] 13 points 1 year ago (1 children)

Instead becoming more acute about triangly things... we were more obtuse and went base ten

[–] [email protected] 6 points 1 year ago (1 children)

Well yeah, who's got 60 fingers? I mean sure, there's Fingers Georg, but that guy's weird.

[–] [email protected] 9 points 1 year ago* (last edited 1 year ago) (1 children)

People used to count 12 knuckles times 5 fingers for a total base 60.

Using only 5+5 fingers is the dumbed down version.

[–] [email protected] 4 points 1 year ago* (last edited 1 year ago) (1 children)

Wasn't it the Sumerians that did use base 60 and just went to counting knuckles and joints to get to the base 60 system ... never fully understood it when I read about it either

Here is a demonstration

https://mathsciencehistory.com/2021/11/09/count-to-60-with-your-phalanges/

[–] [email protected] 6 points 1 year ago

Sumerians and Babylonians used the same cuneiform writing system with a base of 6×10, but it seems like they also used to count to 60 as 12×5... and what we're left with, is the simplified 5+5=10.

Also, we shall remember that:

𒀭 𒐏𒋰𒁀 𒎏𒀀𒉌 𒂄𒄀 𒍑𒆗𒂵 𒈗 𒋀𒀊𒆠𒈠 𒈗𒆠𒂗 𒄀𒆠𒌵𒆤 𒂍𒀀𒉌 𒈬𒈾𒆕

[–] [email protected] 9 points 1 year ago

Now I’m wondering why the Babylonians didn’t have giant triangle shaped orbital habitats.

[–] [email protected] 15 points 1 year ago (7 children)
[–] [email protected] 6 points 1 year ago

They can math.

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[–] [email protected] 10 points 1 year ago

That's very interesting. Thank you for giving us your insight on this.

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[–] [email protected] 47 points 1 year ago (4 children)

Maybe I'm an idiot but how would a base 60 system with "Cleaner fractions means fewer approximations and more accurate maths, and the researchers suggest we can learn from it today." make any difference when computers are powerful enough to generate solutions to answer with more accuracy than is ever needed in real world applications?

[–] [email protected] 57 points 1 year ago (1 children)

None, in modern context we can work in any base we desire, all that basic stuff got generalized ages ago. No one is going to change computing systems to use babylonian-style. And the trigonometry stuff is the same thing we knew, but discovered earlier than the greeks.

It's a important discovery for sure, especially for our understanding of ancient Mesopotamian cultures, but everything else is the authors and the article going bananas with conclusions.

[–] [email protected] 24 points 1 year ago* (last edited 1 year ago) (1 children)

That's kind of what I figured. I wish journalism didn't need to be so incredibly sensationalist. I understand that it's because the majority of the populace has the attention span of a gnat but it doesn't make me feel any less annoyed by it.

[–] [email protected] 14 points 1 year ago* (last edited 1 year ago) (1 children)

Computers still run different algorithms internally, some of which are more prone to having undetected errors than others:

https://en.m.wikipedia.org/wiki/Pentium_FDIV_bug

[–] [email protected] 15 points 1 year ago (11 children)

Computers use base 2, binary. Whether humans use base 10 or base 60 is irrelevant.

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[–] [email protected] 12 points 1 year ago (1 children)

So, I'm a writer, not a researcher, but I've found the more tools I have stuffed into my brain, the more likely it is that two different things clank against each other and create something interesting.

I don't think this is something unique to writing fiction--from my understanding of history, there's quite a few moments in science where two somewhat unrelated things bash against each other and spark a new idea.

Sure, computers can do things we already know how to do, but actual inventors/scientists/people making stuff still need to think up things first before you can computerize it.

It's possible that this WON'T do anything new in the realm of math, but it might create a string a researcher in a different domain--history, linguistics, whatever--can pull on to unravel something else. A diverse tool set leads to multiple ways to solve a given problem, and sometimes edge cases come up where one solution actually is better in some niche application because of something unique to the way it is shaped.

[–] [email protected] 4 points 1 year ago

You're not wrong that people can take inspiration from many different fields, but wild speculation about what could happen can be done for any new development, which makes it pointless and tiring when overused.

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[–] [email protected] 23 points 1 year ago (1 children)

Almost everything we think of as Greek innovations was actually the Greeks absorbing knowledge from the civilizations to their east. Greece is just when our records traditionally went back to.

[–] [email protected] 5 points 1 year ago (1 children)

Not to mention that a lot of greek texts that survived only did so thanks to the Sassanids (Persians), since the newly christian Eastern Roman Empire (Byzantine) began purging all that stuff because "god is all the knowledge you need".

Later on, those texts found their way back into Europe through the then Arab conquered Spain

[–] [email protected] 7 points 1 year ago (2 children)

A quick Google search shows that this is entirely incorrect (both that they were only preserved in arabic and that they made it back to Europe through al-andalus) and it's apparently a popular myth.

From multiple articles (there's a plethora of sources): Classical Greek texts were preserved in the byzantine empire and most classical Greek texts that are known today, are translations from texts that were preserved in Greek (mostly within the byzantine empire). There are a few texts that only survived for a time as Arabic translations, but according to what I read, those are only few compared to what was preserved in Greek.

[–] [email protected] 3 points 1 year ago (1 children)

Huh, I'll have to look further into that, then

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[–] [email protected] 3 points 1 year ago

IIRC the real situation was that classical texts were traditionally kept away from most public eyes because they were written by pagans, but trusted scholars and religious officials would usually be able to gain access to them if they needed.

[–] [email protected] 22 points 1 year ago (3 children)
[–] [email protected] 5 points 1 year ago (2 children)

Not significantly better:

"which scientists claim are more accurate than any available today."
No they obviously do not. Yeah the fractions are easier in base 60, but they are not more accurate than just using rational numbers or radicals in any other base.

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[–] [email protected] 16 points 1 year ago (2 children)

Article originally appeared 07/22/21. Any follow up?

[–] [email protected] 14 points 1 year ago (5 children)

I love history and discoveries like this fascinate me, but do they serve any functional purpose? Does knowing that Babylonians understood angles change anything in my daily or long term life?

Not trying to be critical, just a question I often pose myself but have yet to think of a reassuring answer for.

[–] [email protected] 33 points 1 year ago* (last edited 1 year ago) (1 children)

It might give you new respect for the Babylonians, and act as a corrective to the modern tendency to assume superiority. It might enhance your sense of how similar we all are and how connected, and your kinship with people who lived millennia before you. If little discoveries like this make us just a little more sensitive to the transience of even the most sophisticated societies, the kinship of all people and the sheer length of human history compared to the shortness of our individual lives, it might make us just a little more considerate and respectful in how we treat our world and our peers. The value of such discoveries is their cumulative influence on our understanding of ourselves and how we fit into the world. It makes us wiser.

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[–] [email protected] 10 points 1 year ago

Learning new stuff could be good for your brain. Sometimes you just gotta learn for the sake of learning!

[–] [email protected] 7 points 1 year ago

If you'd read the article you might have an answer.

[–] [email protected] 4 points 1 year ago (1 children)

Well we knew that trig and angles and algebra existed long before the Greeks. Pythagoras took his theorems from Persia.

In terms of perfume together human history finds like this are pretty important though because it helps us fill in gaps in our knowledge

[–] [email protected] 9 points 1 year ago (1 children)
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[–] [email protected] 8 points 1 year ago (1 children)

This is cool and all, but it's a 6 year old story.

[–] [email protected] 12 points 1 year ago

I think you meant 3706 years old.

[–] [email protected] 7 points 1 year ago

Move I've Pythagoras, it's Nebuchadnezzar's show now!

[–] [email protected] 7 points 1 year ago

It was already known that the Sumerians were calculating ratios of triangles and applying knowledge of degrees to circle calculations thousands of years before Hipparchus' work. Whether or not this small stone tablet indicates that the Babylonians had a rigorous system in the same manner the Greeks developed, remains to be seen.

[–] [email protected] 3 points 1 year ago

I thought things felt a little different today

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