Weird Integer Progression in Language Whose Name I Failed to Catch

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SUMMARY

The discussion focuses on the Sora language, which utilizes a unique counting system that combines base twelve and base twenty. The speaker illustrates how numbers are expressed in these bases, such as "twelve-plus-one" for thirteen and "four-twenties-plus-twelve-plus-four" for ninety-six. This system allows for easier division and representation of fractions compared to traditional decimal or hexadecimal systems. The conversation highlights the linguistic and mathematical significance of base systems in cultural contexts.

PREREQUISITES
  • Understanding of base numbering systems (base 12, base 20, base 16)
  • Familiarity with basic mathematical concepts related to fractions and division
  • Knowledge of linguistic structures in numeral systems
  • Awareness of cultural influences on mathematical practices
NEXT STEPS
  • Research the Sora language and its numeral system
  • Explore the implications of base twelve and base twenty in mathematical applications
  • Study the historical context of Babylonian base systems and their influence on modern mathematics
  • Investigate the advantages and disadvantages of various base systems, including hexadecimal and binary
USEFUL FOR

Mathematicians, linguists, educators, and anyone interested in the intersection of language and numerical systems will benefit from this discussion.

BadBrain
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Right now I'm watching a US Public Broadcasting Corporation television program entitled: "The Linguists", in which a man (I think he was from Africa, but I'm not even certain of that, as I wasn't even listening until the math stuff surfaced), explaiined his integer progression, which was quite remarkable.

The point is, he kept switching bases the higher he counted!

He counted up to twelve in base twelve, such that thirteen was "twelve-plus-one", and nineteen was "twelve-plus-seven", but twenty was twenty. Thirty-one was "twenty-plus-eleven", but thirty-two was "twenty-plus-twelve", and thirty-one was "twenty-plus-twelve-plus-one". Getting up to ninety-six, we have "four-twenties-plus-twelve-plus-four".

I can definitely appreciate the logic behind this, as with twelve as a base, you can make all of your major fractions with integers (so that one-third of twelve isn't three-point-three-with-a-line-over-the-three-to-the-right-of the-decimal-point, but the integer four). Expand that to base 60 (like our Babylonian-based hour/degree-minute-second system of telling time and direction), and you can divide by two, three, four, five, six, ten, twelve, fifteen, twenty, and thirty.

But, why does this language use base twelve for fine-tuning, and base twenty for gross-tuning?

Very unusual, but I sense something deeper and VERY important going on here.
 
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BadBrain said:
Right now I'm watching a US Public Broadcasting Corporation television program entitled: "The Linguists", in which a man (I think he was from Africa, but I'm not even certain of that, as I wasn't even listening until the math stuff surfaced), explaiined his integer progression, which was quite remarkable.

The point is, he kept switching bases the higher he counted!

He counted up to twelve in base twelve, such that thirteen was "twelve-plus-one", and nineteen was "twelve-plus-seven", but twenty was twenty. Thirty-one was "twenty-plus-eleven", but thirty-two was "twenty-plus-twelve", and thirty-one was "twenty-plus-twelve-plus-one". Getting up to ninety-six, we have "four-twenties-plus-twelve-plus-four".
Upon searching via Google, I found that the man was from India, and it is the Sora language which has a combined base 12 and base 20 system.

Personally, I think we should use the hexadecimal system (base 16), with most of us being in the digital age and all. :biggrin:
 
eumyang said:
Upon searching via Google, I found that the man was from India, and it is the Sora language which has a combined base 12 and base 20 system.

Personally, I think we should use the hexadecimal system (base 16), with most of us being in the digital age and all. :biggrin:

With base 16, all you can do is divide by two and exponentials of two. You can't make your major fractions, such as thirds, or fifths, like you can with the Babylonian system, or, to a more limited extent, with his Sora system.

By the way, isn't binary simply hexadecimalism reduced to her ultimate "2 X 2 X 2 X 2" conclusion?

After all, there are only 10 kinds of people in this world: those who understand binary, and those who don't!

:wink:
 

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