Number systems: Difference between revisions
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{{Needs work|Import from {{tp|[[nasin nanpa ali ike]]}}.}} |
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This is a list of '''number systems''' |
This is a list of '''[[number]] systems''' used in or proposed for [[Toki Pona]]. In large part because the main number systems are intentionally limited, constructing alternative systems is a common project for tinkerers with the language. |
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==Additive number systems== |
==Additive number systems== |
Revision as of 10:33, 31 December 2023
This is a list of number systems used in or proposed for Toki Pona. In large part because the main number systems are intentionally limited, constructing alternative systems is a common project for tinkerers with the language.
Additive number systems
Additive number systems or sign-value notation represents numbers using a sequence of numerals which each represent a distinct, usually smaller, quantity. For example, the numeral "10" may be said as "five five". Examples in natural languages include the Roman and Egyptian numerals.
Pre-pu number systems
A system created before the publication consists only of the words wan ("one") and tu ("two"). Larger numbers consist of adding these two numbers. This is similar to counting in Gumulgal, an Australian Aboriginal language.[1]
tu tu tu wantu tu tu wan
seven (2 + 2 + 2 + 1)
pu number systems
There are two standard number systems shown in the book Toki Pona: The Language of Good, both of which are additive.[2] jan Sonja provides the words ala (zero), wan (one), tu (two), mute (three or more, "many"), and ale (infinity, "countless").
Another system provided by jan Sonja, used for complex and precise counting, consists of the words wan (1), tu (2), luka (5), mute (20), and ale (100). This system however, can be ambiguous. For example, the phrase len luka tu may mean "seven pieces of clothing" or "two gloves".
luka tuluka tu
seven (5 + 2)
mute mute mute luka luka luka tu wanmute mute mute luka luka luka tu wan
78 (20 + 20 + 20 + 20 + 5 + 5 + 5 + 2 + 1)
It was proposed for ali, a variant of ale, to chiefly stand for the number 100.[citation needed]
Positional number systems
nasin nanpa kijetesantakalu
References
- ↑ Harris, John (1987). Australian Aboriginal and Islander mathematics (PDF). Australian Aboriginal Studies.
- ↑ Lang, Sonja. (25 May 2014). Toki Pona: The Language of Good. Tawhid. ISBN 978-0978292300. OCLC 921253340.