Monday, September 11, 2023

Babylonian number system


1) Perhaps 60 was a convenient base for the Babylonians because they measured something else in groups of 60. If a season was 60 days, perhaps it made sense for a different symbol to represent that quantity. 60 also has more factors than 10 and perhaps it made it easier to use or more straightforward to represent parts of a whole (60 being the whole).

2) As briefly discussed in class, we use 60's when talking about time. 60 seconds in a minute, 60 minutes in an hour. We know that half an hour is 30 minutes and a quarter is 15. The imperial system also fits better into 60's


3) Sexagesimal (base 60) numeral systems developed in different cultures. Some possible reasons include: that sixty is a highly composite number with twelve factors. Also, people counted to twelve on their fingers using the thumb to point to each finger bone on the four fingers. The strongest argument is that it was useful for writing and calculating fractions. It is also suggested that there were advantages to merchants and others doing financial transactions when there was bargaining and splitting up bigger quantities. 

Source: Asian, E. Babylonian mathematics. https://cloudflare-ipfs.com/ipfs/QmXoypizjW3WknFiJnKLwHCnL72vedxjQkDDP1mXWo6uco/wiki/Sexagesimal.html

1 comment:

  1. Hi Christine, nice mention of the many factors of 60 and relationship to time. I wonder if you might expand on the use with fractions part.

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