Very interesting article on ancient tablet

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Discussion Overview

The discussion centers around an ancient Babylonian clay tablet believed to contain early trigonometric tables that may predate Pythagoras. Participants explore the implications of this finding on historical mathematical achievements and the accuracy of ancient calculations compared to modern methods.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants highlight the significance of the ancient tablet, suggesting it may challenge the notion that Pythagoras was the first to discover the theorem associated with right-angled triangles.
  • Others express admiration for the engineering and mathematical capabilities of ancient civilizations, noting the foundational work they built upon.
  • One participant questions the relevance of linking to external articles, suggesting that members may not be interested in following such links.
  • Another participant raises questions about the methods used by the Babylonians to derive specific numerical sets, pondering whether they had knowledge of Euclid's methods for finding Pythagorean triples.
  • A participant critiques the claim that the ancient tables are more accurate than modern calculations, arguing that modern systems can achieve far greater precision.
  • One participant references a method discussed in a Wikipedia article to derive values related to the tablet, indicating ongoing exploration of the mathematical techniques used.

Areas of Agreement / Disagreement

Participants express a mix of admiration for ancient achievements and skepticism about the accuracy claims regarding the tablet. There is no consensus on the implications of the findings or the validity of the comparisons made between ancient and modern mathematics.

Contextual Notes

Discussions include varying interpretations of the historical significance of the tablet and the mathematical methods employed by ancient civilizations. Some assumptions about the accuracy of ancient calculations versus modern methods remain unresolved.

Who May Find This Useful

Readers interested in the history of mathematics, ancient engineering, and the evolution of mathematical concepts may find this discussion particularly engaging.

Simon Peach
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At least 1,000 years before the Greek mathematician Pythagoras looked at a right angled triangle and worked out that the square of the longest side is always equal to the sum of the squares of the other two, an unknown Babylonian genius took a clay tablet and a reed pen and marked out not just the same theorem, but a series of trigonometry tables which scientists claim are more accurate than any available today.

The 3,700-year-old broken clay tablet survives in the collections of Columbia University, and scientists now believe they have cracked its secrets.

The team from the University of New South Wales in Sydney believe that the four columns and 15 rows of cuneiform – wedge shaped indentations made in the wet clay – represent the world’s oldest and most accurate working trigonometric table, a working tool which could have been used in surveying, and in calculating how to construct temples, palaces and pyramids.

https://www.theguardian.com/science...blet-unlocked-after-nearly-a-century-of-study

<Moderator's note: link corrected, Article intro added>

 
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Never ceases to amaze me at the engineering, scientific, and mathematical feats that humans accomplished so far back. Starting from absolutely nothing then coming up with these things makes me feel extremely fortunate that at least I have a base to work from that so many people built over lifetimes.
 
You really think any or most members want to answer a question on an external site about if he/she/they want to follow a link to an article on that site?
 
symbolipoint; it wasn't a question but an article that may (may) refute Pythagoras as the discoverer of the theorem named after him, and by 1500 years!
 
symbolipoint said:
You really think any or most members want to answer a question on an external site about if he/she/they want to follow a link to an article on that site?
I have modified the link so that it directly points to the article.

Simon Peach said:
symbolipoint; it wasn't a question but an article that may (may) refute Pythagoras as the discoverer of the theorem named after him, and by 1500 years!
Your link was pointing back to Facebook instead of the actual Guardian article.
 
Simon Peach said:
symbolipoint; it wasn't a question but an article that may (may) refute Pythagoras as the discoverer of the theorem named after him, and by 1500 years!
DrClaude said:
I have modified the link so that it directly points to the article.Your link was pointing back to Facebook instead of the actual Guardian article.
Thanks
 
Fun story.
After looking at the full list of numbers at wiki, and being not very good at maths, I have lots of questions.
How on Earth did they come up with the 12,709 18,541 [13500] set?
Did they know Euclid's method of finding Pythagorean triples?
Or did someone sit down and figure that out by hand?
That would take me a lifetime! (with clay and sticks)
Probably only a year with a spreadsheet.

ps. For people like me who have no idea when these people were alive:
Euclid: ≈300 BC
Pythagoras: ≈530 BC
Plimpton 322 tablet: ≈1800 BC
 
a series of trigonometry tables which scientists claim are more accurate than any available today.
We have billions of digits today. I'm quite sure the table didn't have that accuracy.
with potential modern application because the base 60 used in calculations by the Babylonians permitted many more accurate fractions than the contemporary base 10.
That doesn't make any sense.

@OmCheeto: The Wikipedia article discusses a method to get these values. x=125/54 leads to this set.
 
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