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(Created page with "'''nasin nanpa pona''' is an extension to the pu counting system for very big numbers. In toki pona, numbers do very much not play a central role. In fact, exact numbers beyond 2 get mostly avoided, only using ''mute'' in the right context to say what the quantity is like in the given situation. However, not only are exact numbers seemingly more needed sometimes (or at least they seem useful to a degree), some toki pona speakers insist on continuing to speak in ways tha...")
 
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{{tp title}}
'''nasin nanpa pona''' is an extension to the pu counting system for very big numbers.
{{Numbers}}
{{Official Toki Pona}}
'''{{tp|nasin nanpa pona}}''' is an extension to the {{tp|[[pu]]}} [[counting system]] for large and exact numbers. It was created by {{tok|jan Kapilu}} and {{tok|jan Tepo}} in 2021 and sets out to express big numbers compactly.<ref name="kapilu-tepo">{{cite web|url=https://wyub.github.io/tokipona/nasinnanpapona|title=nasin nanpa pona|lang=tok|website=Wyubsite|author={{tok|jan Kapilu}}, {{tok|jan Tepo}}|archive-url=https://web.archive.org/web/20220203101845/https://wyub.github.io/tokipona/nasinnanpapona|archive-date=2022-02-03|url-status=dead|access-date=2024-02-05}}</ref> It is part of the {{tp|[[su]]}} style for writing the year in dates.<ref name="Oz">{{cite Oz}}</ref>
 
==Overview==
In toki pona, numbers do very much not play a central role. In fact, exact numbers beyond 2 get mostly avoided, only using ''mute'' in the right context to say what the quantity is like in the given situation. However, not only are exact numbers seemingly more needed sometimes (or at least they seem useful to a degree), some toki pona speakers insist on continuing to speak in ways that force the topic of not only exact, but also big numbers. Hence, people have been making and keep making [[nnai|new counting systems]] with varying degrees of being in line with toki pona and usefulness. Many of these end up replacing the way overly precise counting is already done (as documented, for example, in [[pu|the official book]].
In Toki Pona, numbers lack any central role. In fact, exact numbers beyond 2 are mostly avoided, only using {{tp|[[mute]]}} in the right [[context]] to say what the quantity is in the given situation. However, not only are exact numbers seemingly more needed sometimes (or at least they seem useful to a degree), some speakers insist on continuing to speak in ways that force the topic of not only exact, but also big numbers. Hence, people have been making and keep making [[nasin nanpa ali ike|new counting systems]] with varying degrees of being in line with [[minimalism]] and [[usefulness]]. Many of these end up replacing the way overly precise counting is already done as documented, for example, in the book {{lipu pu|en}}.
 
===Introduction in {{tp|pu}}===
Given the ongoing insistence to use big and exact numbers, jan Kapilu and jan Tepo got together in 2021 to create a counting system that sets out to be ''as good'' as the pu counting system. This way people can express large numbers somewhat compactly, and therefore comprehensibly.
The book {{lipu pu|en}} documents the following counting system. Given that {{tp|nasin nanpa pona}} is backwards compatible, all of these examples hold true for it as well.<ref>{{cite pu}}</ref>
 
Most speakers are content with, and prefer, using imprecise quantities. In fact, while nasin nanpa pona is by far the best known counting system beyond pu, it is not actually used by as many.
==An introduction with pu==
The official book documents the following counting system. Given that ''nasin nanpa pona'' is backwards compatible, all of these examples hold true for it as well.
 
{| class="wikitable"
|-
! style="width:0;" | Numeral
! Arabic numbers !! toki pona !! same quantity
! colspan="2" | Toki Pona
|-
| style="text-align:right;" | 1
| 1 || wan
| colspan="2" | {{tp|wan}}
|-
| style="text-align:right;" | 2
| 2 || tu
| colspan="2" | {{tp|tu}}
|-
| style="text-align:right;" | 3
| 3 || tu&nbsp;wan
| colspan="2" | {{tp|tu wan }}
|-
| style="text-align:right;" | 4
| 4 || tu&nbsp;tu
| colspan="2" | {{tp|tu tu }}
|-
| style="text-align:right;" | 5
| 5 || luka || tu tu wan
| {{tp|luka}}
| {{tp|tu tu wan}}
|-
| style="text-align:right;" | 6
| 6 || luka&nbsp;wan
| colspan="2" | {{tp|luka wan}}
|-
| style="text-align:right;" | 20
| 20 || mute || luka luka luka luka
| {{tp|mute}}
| {{tp|luka luka luka luka}}
|-
| style="text-align:right;" | 36
| 36 || mute&nbsp;luka&nbsp;luka&nbsp;luka&nbsp;wan
| colspan="2" | {{tp|mute luka luka luka wan}}
|-
| style="text-align:right;" | 100
| 100 || ale || mute mute mute mute mute
| {{tp|ale}}
| {{tp|mute mute mute mute mute}}
|-
| style="text-align:right;" | 300
| 300 || ale&nbsp;ale&nbsp;ale
| colspan="2" | {{tp|ale ale ale}}
|}
==Extention to the counting system==
However, ''nasin nanpa pona'' allows for one extra step to simplify numbers beyond a couple of hundreds: if numbers smaller than 100 precede "ale", then "ale" gets multiplied by this number. As a result, ''nasin nanpa pona'' is '''base 100'''.
 
===Extension to the counting system===
'''Important to note:''' In this table, the "quantity in pu" is just as valid in ''nasin nanpa pona''.
{{tp|nasin nanpa pona}} allows for one extra step to simplify numbers beyond a couple of hundreds: if numbers smaller than 100 precede {{tp|[[ale]]}}, then {{tp|ale}} gets multiplied by this number. As a result, {{tp|nasin nanpa pona}} is {{w|centesimal}} (base 100). The word {{tp|wan}} also precedes {{tp|ale}} to avoid confusion with the {{tp|pu}} system.<ref name="kapilu-tepo" />
 
{| class="wikitable"
|-
! Number
! Arabic numbers !! nasin nanpa pona !! quantity in pu
! {{tp|nasin nanpa pona}}
! {{tp|pu}}
|-
| style="text-align: right;" | 100
| 100 || wan&nbsp;ale || ale
| style="white-space: nowrap;" | {{tp|wan ale}}
| {{tp|ale}}
|-
| style="text-align: right;" | 300
| 300 || tu&nbsp;wan&nbsp;ale || ale ale ale
| style="white-space: nowrap;" | {{tp|tu wan ale}}
| {{tp|ale ale ale}}
|-
| style="text-align: right;" | 1000
| 1 000 || wan&nbsp;ale&nbsp;ale || ale ale ale ale ale ale ale ale ale ale
| style="white-space: nowrap;" | {{tp|luka luka ale}}
| {{tp|ale ale ale ale ale ale ale ale ale ale}}
|-
| style="text-align: right;" | 10 000
| 12 345 || wan&nbsp;ale mute&nbsp;tu&nbsp;wan&nbsp;ale mute&nbsp;mute&nbsp;luka || ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale mute mute luka
| style="white-space: nowrap;" | {{tp|wan ale ale}}
| {{tp|ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale ale}}
|}
 
===Writing===
AsIn athe way[[Latin toscript]], writesome downspeakers write the numbers more compactly, by the numberusing wordsthe oftenfirst don'tletter getof spelled out likethe other wordsword, butwritten getin shortenedall downuppercase. toThat theis, first letter and capitalised. "{{tp|ale"}} becomes "{{tok|A"}}, "{{tp|mute"}} becomes "{{tok|M"}}, "{{tp|[[luka"]]}} becomes "{{tok|L"}}, "{{tp|[[tu"]]}} becomes "{{tok|T"}}, "{{tp|[[wan"]]}} becomes "{{tok|W"}}. Therefore, <code>12 345</code> becomes <code>{{o nnptp|12345wan ale mute tu wan ale mute mute luka}}</code>, becomescondensed into <code>{{o nnp|12345tp|nasin=sitelenWAMTWAMML}}</code>.
 
There is no official way to denote the number zero as documented by the creators. However, some users use the letter {{tp|X}}, borrowing the shape from the {{tp|sitelen pona}} glyph for {{tp|[[ala]]}} ({{sp|ala}}).
 
A way to denote "zero" in a short way is not documented by the creators. The letter "A" is taken by "ale", so it cannot be used. Maybe it's simply not necessary, "ala" being short enough on its own. However, some users might use {{o nnp|0|nasin=sitelen}} (loaning the shape {{sp|ala}} that ala takes in sitelen pona).
===Decimal numbers===
Less established is this extension to the extension that is ''{{tp|nasin nanpa pona''}}: A way to express decimal numbers. {{tok|jan Kapilu}} came up inwith a way that mirrors base 100 for whole numbers on the other side of the decimal point.
 
{| class="wikitable"
|-
! style="width:0;" | Number
! Arabic numbers !! ''nasin nanpa pona''
! {{tp|nasin nanpa pona}}
|-
| style="text-align:right;" | 0.1{{translucent|opacity=0|000}}
| 0.1 || ala&nbsp;luka&nbsp;luka
| {{tp|ala luka luka}}
|-
| style="text-align:right;" | 0.01{{translucent|opacity=0|00}}
| 0.01 || ala&nbsp;wan
| {{tp|ala wan}}
|-
| style="text-align:right;" | 0.001{{translucent|opacity=0|0}}
| 0.001 || ala&nbsp;ale&nbsp;luka&nbsp;luka
| {{tp|ala ale luka luka}}
|-
| style="text-align:right;" | 0.0001
| 0.0001 || ala&nbsp;ale&nbsp;wan
| {{tp|ala ale wan}}
|-
| style="text-align:right;" | 1.91{{translucent|opacity=0|00}}
| 1.91 || wan ala mute mute mute mute luka luka wan
| {{tp|wan ala mute mute mute mute luka luka wan}}
|}
 
==Notable usage==
In the book {{Oz|en}}, {{tok|[[jan Sonja]]}} used {{tp|nasin nanpa pona}} as the date format for the copyright year in {{tp|[[sitelen pona]]}}, also using the then-little-known numeric variant of {{tp|[[mute]]}} ({{sp|mute2}}).
 
{{Example
|tenpo sike nanpa mute ale mute tu tu
|Year 2024
|tenpo sike nanpa mute2 ale mute2 tu tu
}}
 
==References==
<references />
 
==External links==
{{Wikipesija}}
* [https://web.archive.org/web/20220203101845/https://wyub.github.io/tokipona/nasinnanpapona Original documentation] (archive)
[[Category:Number systems]]
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