Monday, December 20, 2021

[huxijxje] well known numbered sets

month names are an ordered set which most people can quickly map elements to indices (numbers) and vice versa.  people can also quickly determine ordering between two given months.

are there any other commonly known numbered sets?

some smaller sets: gold = 1, silver = 2, bronze = 3.  freshman sophomore junior senior, though many people map those to 9 through 12.  although the chemical elements are named and numbered, very few people know their numbers.  resistor colors (electronics).

boring: the words "one", "two", etc.  in that same vein: systematic names for chemical elements.

maybe Roman numerals.

numbered sets are necessary for constructing place-value number systems.

"less than", "equals", and "greater than" could be mapped to {-1, 0, +1} for balanced ternary.

are their any well known numbered sets starting at zero?

in Japanese, month names have their numbers encoded in their names, so the mapping is not that interesting.  which other languages do this?  (in English, month names September through December do encode a number in Latin, but the number is wrong.)

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