{
  "$type": "site.standard.document",
  "description": "o sina sona e nanpa!",
  "path": "/posts/tok-mat/",
  "publishedAt": "2024-12-02T04:00:00.000Z",
  "site": "at://did:plc:6n2ngs7zpcpwxz3jaoxj56tu/site.standard.publication/3mo6y7ludvn2h",
  "tags": [
    "toki pona"
  ],
  "textContent": "nasin nanpa lon toki-pona\n\nThe language toki pona (toki-pona) lacks a lot of common mathematical definitions.\nAlthough this is on purpose, I do enjoy talking about mathematics.\nIn a language where kindness and compassion is so prevalent I see no reason why to avoid talking about something I feel so passionate about.\nThen, here is my documentation for how to speak about common mathematical terms.\n\n始めます\n\nIn toki-pona we have the general notion of numbers as defined in \"nasin nanpa pona\" (nasin nanpa pona).\nI will perhaps go through the core ideas of this number system later.\nFor now, keep in mind that it is a very simple number system.\nIn this document I attempt to talk about complex mathematical concepts in toki-pona.\nThat means that in order to read this, you must be aware of how nasin nanpa pona works.\nAgain, it is a very simple system and I highly encourage you to read up on it if you haven't.\n\nThere is no need to reinvent the wheel, specially in mathematics.\nI will use the standard mathematical symbols to refer to the four basic operations:\n- \\(a + b\\) addition\n- \\(a - b\\) subtraction\n- \\(a \\times b\\) multiplication\n- \\(\\frac{a}{b}\\) division\n\nOther common ascii symbols that I refer to are:\n- Hindu-Arabic numeral system.\n- equality\n- exponentiation\n- parentheses\n\nThe reason for this is that, personally, I consider mathematics to be its own language.\nTalking about Mathematics (the language) in toki-pona should be the same as talking about any other language in toki-pona.\nThe language of Mathematics has its own culture and conventions and, depending on where on the planet you grew up in, your ideas about Mathematics can be different.\nKnowing this, I fully expect that different people will have different opinions on how Mathematics in toki-pona should be spoken.\n\nTo learn more, check out the following links:\n- Frequently Asked Questions\n- toki pona number systems\n- nasin nanpa pona\n\nFrom here on out, I will be using the \"nasin nanpa pona\" number system.\n\n    nasin nanpa pona\n    I would much rather use seximal for this.\n    However, most people use nasin nanpa pona and since I want this to be digestable to the most amount of people, I shall use that instead.\n\ntoki open a\n\nzz nanpa li lon mute. \nzz kili  5 \nen soweli wan \nen lipu 31415 \nen nanpa li lon e ma ali. \n\nnanpa li lon ala la \nmi en sina en ona en ali li toki-pona ala. \n\nni3 la nanpa li suli suli. \nkin la nanpa li pona suli tawa oko en lawa. \n\no sina sona e nanpa a zz\n\nwan la toki pi (nasin nanpa)\n\nlawa suli li toki tawa ona zz la \nlawa suli li jo e nanpa nasa la \no sina pali lon toki pi (nasin nanpa) tawa ni7. zz \n\ntu la toki pi (ijo nanpa). \nnanpa ni3 la te 0 1 2 3 4 5 6 7 8 9 to. \nzz nanpa te 0 to li sama nanpa ala zz\nen nanpa te 1 to li sama nanpa wan zz \nen nanpa te 2 to li sama nanpa tu zz \nen nanpa te 3 to li sama nanpa tu wan zz \nen nanpa te 4 to li sama nanpa tu tu zz \nen nanpa te 5 to li sama nanpa luka zz \nen nanpa te 6 to li sama nanpa luka wan zz \nen nanpa te 7 to li sama nanpa luka tu zz \nen nanpa te 8 to li sama nanpa luka tu wan zz \nen nanpa te 9 to li sama nanpa luka tu tu. \n\no lukin e ni5 la\n\nzz sina jo e kili tu zz \nen mi jo e kili wan.\no lukin e ni5 la\n\nsina en mi li jo e kili tu wan. \n\nzz nanpa te 10 to li sama nanpa luka luka zz \nen nanpa te 11 to li sama nanpa luka luka wan zz \nen nanpa te 12 to li sama nanpa luka luka tu zz \nen nanpa te 13 to li sama nanpa luka luka tu wan zz \nzz . \nzz . \nzz . \nnasin ni3 li sin. ni3 sama nanpa lon toki-pona.\n\ntu wan la sama en namako en weka lon toki pi (nasin nanpa)\n\nsama li sama te = to lon toki pi (nasin nanpa). \nkon te = to li pona mute. kon te = to li sama kon sama. \no lukin e ni. \ntu tu sama tu tu. \n\nnamako li sama te + to lon toki pi (nasin nanpa). \no sina jo e ijo wan en ijo tu la \nzz ijo wan namako ijo tu sama e ni2 ijo wan en ijo tu li pali wan. \n\no lukin e ni. \nzz tu zz namako wan zz zz zz sama tu wan. \nzz luka zz namako tu tu zz zz sama luka tu tu. \nzz tu wan namako tu wan namako luka sama luka luka wan. \nni3 li lukin e ni lon toki pi (nasin nanpa).\n\\[\n    2 + 1 = 3.\n\\]\n\\[\n    5 + 4 = 9.\n\\]\n\\[\n    3 + 3 + 5 = 11.\n\\]\n\nweka li sama te - to lon toki pi (nasin nanpa). \no sina jo e ijo wan en ijo tu la \nzz ijo wan weka ijo tu sama e ni2 ijo wan en ijo tu li pali tu. \n\no lukin e ni. \nzz tu zz zz weka wan zz sama wan. \nzz luka tu tu weka tu zz sama luka tu. \nzz luka wan zz weka tu tu sama tu. \nzz wan zz zz weka wan zz sama ala. \nzz ala zz zz weka ala zz sama ala. \n\\[\n    2 - 1 = 1.\n\\]\n\\[\n    9 - 2 = 7.\n\\]\n\\[\n    6 - 4 = 2.\n\\]\n\\[\n    1 - 1 = 0.\n\\]\n\\[\n    0 - 0 = 0.\n\\]\n\ntu tu la nanpa anpa en nanpa sewi2\n\nnanpa weka li suli. \no lawa e ni. \nzz toki pi (nasin nanpa) li lon la \n\\[\n    8 - 4 = 8 + (-4).\n\\]\n\\[\n    8 + 4 = 8 + (+ 4).\n\\]\nzz nanpa te \\(-4\\) to li sama nanpa pi (anpa tu tu) \nen nanpa te \\(+4\\) to li sama nanpa pi (sewi2 tu tu). \n\nluka la nasin lon toki pi (nasin nanpa)\n\nsina lawa la \nzz mi jo e sike tu tu. sina jo e sike luka. \nzz jan seme li jo e sike mute. \n\n    sina pona. zz\n    \n        pini\n    \n\n    sina ike. o sin. zz\n    \n        pini\n    \n\nmi\nsina\n\ntenpo ni3 li wile e nanpa sewi2 en nanpa anpa. \nzz nanpa anpa li anpa e nanpa sewi2 zz \nen nanpa sewi2 li sewi2 e nanpa anpa.",
  "title": "Mathematics in toki pona"
}