Cuneiform Numbers - Numberphile

Numberphile2 minutes read

Babylonian Cuneiform Numbers, the oldest number system from around 3000 years BC, used wedge marks in mud on small tablets based on a sexagesimal system with symbols for 1 to 59 and a unique symbol for 60, adopting zero later on. The system's choice of base 60 is still a mystery, potentially influenced by the divisibility of 60 and the natural tendency to count in base 10 due to fingers.

Insights

  • Babylonian Cuneiform Numbers originated in the Sumerian civilization around 3000 years BC, employing wedge-shaped script on small tablets to represent a sexagesimal system with symbols for 1 to 59 and a unique symbol for 60.
  • The Babylonian number system, developed in Babylon by 2000 BC, utilized additional columns to represent numbers beyond 59, initially lacking a symbol for zero but later incorporating two diagonals to denote zero in certain positions, showcasing a unique blend of mathematical innovation and practicality.

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Recent questions

  • What is the Babylonian Cuneiform Numbers system?

    It is the oldest number system, evolving around 3000 years BC in the Sumerian civilization between the Tigris and Euphrates rivers.

  • How were Babylonian numbers written?

    On small tablets with wedge marks using a reed.

  • What is the basis of the Babylonian number system?

    A sexagesimal system with symbols for 1 to 59.

  • Did the Babylonian system have a symbol for zero?

    Initially lacking, later adopting two diagonals.

  • Why did the Babylonian system use base 60?

    Possibly influenced by divisibility of 60 and finger counting.

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Summary

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Ancient Babylonian Cuneiform Numbers: A Brief History

  • Babylonian Cuneiform Numbers are the oldest number system, evolving around 3000 years BC in the Sumerian civilization between the Tigris and Euphrates rivers.
  • Cuneiform involves making wedge marks in mud, traditionally done with a reed, creating a distinctive wedge-shaped script.
  • The number system was fully functional by 2000 BC in Babylon, succeeding the Sumerian civilization.
  • Babylonian numbers are written on small tablets, about the size of half an iPhone, using a reed to make wedge marks.
  • The Babylonian number system is based on a sexagesimal system, with symbols for 1 to 59, and a unique symbol for 60.
  • To represent numbers beyond 59, additional columns are used, with each column representing multiples of 60.
  • The Babylonian system lacked a symbol for zero initially, later adopting two diagonals to represent zero in specific positions.
  • The choice of base 60 in the Babylonian system remains a mystery, possibly influenced by the divisibility of 60 and the natural inclination to count in base 10 due to fingers.
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