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*From*: "De'vID" <[email protected]>*Subject*: [Tlhingan-hol] do any human cultures count like Klingons do?*Date*: Thu, 18 Sep 2014 10:12:25 +0200*Dkim-signature*: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:date:message-id:subject:from:to:content-type; bh=1CUyhWSi6U8ErqVDqoS6turauUFXBgrHFRj5YgK+q/U=; b=HlFLvwaqrl7YwRtshequUGwJzzmcq3QWvZEZawnAlfYJbhpOwKByYlyqre8EOQo1Cv BCcAV9IO7k6FzD8vB1nN3KAJIbza3kz4Q9dP2X2hUG/0h2tUC2MR2ugEWLXwge9uzmT6 GwjlYOz0bN29SFn0G8HADMZ/PMlqBN4l3dY/KumwwOx5cE1MaBOtpsQXLjhRvIKp3Xjp ElFyyhi6h5BqppWjwU9n0LV90HIcikP6Dvm177O39ZLjGBUUi+QHfxdOPYKFHUL0vZ/i di9VBF1+8VB8WjJBts6KWbRQB3IURj9SDz/+UKf+1aafVohvslIDM8iMIbY247JtMTW7 M14Q==*List-archive*: <http://mail.kli.org/pipermail/tlhingan-hol/>*List-id*: <tlhingan-hol.kli.org>*List-subscribe*: <http://mail.kli.org/mailman/listinfo/tlhingan-hol>, <mailto:[email protected]?subject=subscribe>

In The Klingon Dictionary, Section 5.2, the Klingon numbers are enumerated as follows: 1, 2, 3; 3+1, 3+2, 3+3; 2*3+1, 2*3+2, 2*3+3; 3*3+1, 3*3+2, 3*3+3; etc. Mathematicians would immediately recognise this as 3-adic notation (see 3-adic under http://en.wikipedia.org/wiki/Bijective_numeration#Properties_of_bijective_base-k_numerals). This system is interesting, because while it's a base-3 or ternary notational system, "3" is not written as "10", but as its own symbol. "6" is not written as "2 times 3" (or 2 shifted by one position), but as "3+3". This is how you'd count in 3-adic notation, if we allow the "tens" position to represent 3 and the "hundreds" position to represent 9): 0, 1, 2, 3, 11, 12, 13, 21, 22, 23, 31, 32, 33, 111, 112, 113, 121, 122, 123, ... So decimal 12 is written as "33" (what TKD would call "3*3+3"), and decimal 18 is written as "123" (or "3*3+2*3+3" using TKD notation). Everyone is aware that Marc Okrand chose OVS grammar because it's rare among human languages. He apparently pulled something similar off with Klingon mathematics. Does any human culture count like this? (Simple tallying, of course, is 1-adic notation, but that's always used alongside a decimal or base-20/30/60 system. Ignoring simply tallying and advanced mathematics, do any human cultures even use p-adic notation in any base?) I couldn't find anything with a quick Google search, but then anthropologists probably wouldn't use a term like "p-adic notation", and mathematicians wouldn't usually be writing about ancient human cultures. I figured someone on this list would know, though. -- De'vID _______________________________________________ Tlhingan-hol mailing list [email protected] http://mail.kli.org/mailman/listinfo/tlhingan-hol

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