this post was submitted on 01 Oct 2023
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[–] logicbomb@lemmy.world 168 points 11 months ago* (last edited 11 months 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.

[–] Nougat@kbin.social 47 points 11 months ago (2 children)

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

[–] ininewcrow@lemmy.ca 13 points 11 months ago (1 children)

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

[–] dalekcaan@lemm.ee 6 points 11 months ago (1 children)

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

[–] jarfil@lemmy.world 9 points 11 months ago* (last edited 11 months 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.

[–] ininewcrow@lemmy.ca 4 points 11 months ago* (last edited 11 months 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/

[–] jarfil@lemmy.world 6 points 11 months 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

[–] 8BitRoadTrip@lemm.ee 9 points 11 months ago

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

[–] squiblet@kbin.social 16 points 11 months ago (7 children)
[–] Zerlyna@lemmy.world 6 points 11 months ago

They can math.

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[–] Black_Gulaman@lemmy.dbzer0.com 10 points 11 months ago

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

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[–] I_Comment_On_EVERYTHING@lemmings.world 46 points 11 months 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?

[–] LeberechtReinhold@lemmy.world 57 points 11 months 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.

[–] I_Comment_On_EVERYTHING@lemmings.world 24 points 11 months ago* (last edited 11 months 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.

[–] jarfil@lemmy.world 14 points 11 months ago* (last edited 11 months 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

[–] SkyeStarfall@lemmy.blahaj.zone 15 points 11 months ago (11 children)

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

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[–] IonAddis@lemmy.world 12 points 11 months 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.

[–] IndefiniteBen@leminal.space 4 points 11 months 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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[–] steakmeout@aussie.zone 22 points 11 months ago (3 children)
[–] davidgro@lemmy.world 5 points 11 months 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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[–] psychothumbs@lemmy.world 22 points 11 months 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.

[–] ICastFist@programming.dev 4 points 11 months 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

[–] RunawayFixer@lemmy.world 6 points 11 months 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.

[–] PhlubbaDubba@lemm.ee 3 points 11 months 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.

[–] ICastFist@programming.dev 3 points 11 months ago (1 children)

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

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[–] oDDmON@lemmy.world 16 points 11 months ago (2 children)

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

[–] Cthulu_but_gay@lemmy.world 14 points 11 months 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.

[–] floofloof@lemmy.ca 32 points 11 months ago* (last edited 11 months 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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[–] CurlyMoustache@lemmy.world 10 points 11 months ago

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

[–] millie@lemmy.film 7 points 11 months ago

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

[–] LotrOrc@lemmy.world 4 points 11 months 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

[–] Sir_Simon_Spamalot@lemmy.world 9 points 11 months ago (1 children)
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[–] Goo_bubbs@lemmings.world 8 points 11 months ago (1 children)

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

[–] bossito@lemmy.world 12 points 11 months ago

I think you meant 3706 years old.

[–] dangblingus@lemmy.dbzer0.com 7 points 11 months 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.

[–] YeetPics@mander.xyz 7 points 11 months ago

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

[–] Lolgeese@lemmy.world 3 points 11 months ago

I thought things felt a little different today

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