{"id":1368,"date":"2020-05-01T18:49:39","date_gmt":"2020-05-01T18:49:39","guid":{"rendered":""},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T22:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/typo.uni-konstanz.de\/rara\/universals-archive\/1368\/","title":{"rendered":"Universal 1364:"},"content":{"rendered":"

Universal 1364: <\/h3>\n
\n
Original<\/dt>\n
In systems with more than one base, there is a base, the base for predictable explanation, above which in all numerals certain regularities hold. Such numerals, when analyzed into their two principal constituents, will fall into two types, simple and complex. In the simple numeral we have a product, or rarely a quotient. In the complex numeral the two constituents are summands.
In the simple constituent the factors or elements in a division are expressed in the same way as when they occur in isolation. Complex expressions fall into two parts, a product and a remainder.
The remainder has the two following properties. It never has a larger value than the next lower base of the total expression. Finally, the remainder is expressed by the same mathematical function as when it occurs in isolation.<\/dd>\n
Standardized<\/dt>\n
IF there are numeral systems with more than one base, THEN there is a base, the base for predictable explanation, above which in all numerals certain regularities hold. Such numerals, when analyzed into their two principal constituents, will fall into two types: simple (A) and complex (B) ones:<\/p>\n\n\n\n\n\n\n
<\/td>\n(Ai)<\/td>\n In the simple numeral we have a product, or rarely a quotient.<\/td>\n<\/tr>\n
<\/td>\n(Aii)<\/td>\nIn the simple constituent the factors or elements in a division are expressed in the same way as when they occur in isolation.<\/td>\n<\/tr>\n <\/td>\n(Bi)<\/td>\n In the complex numeral the two constituents are summands.<\/td>\n<\/tr>\n
<\/td>\n(Bii)<\/td>\nComplex expressions fall into two parts, a product and a remainder.<\/td>\n<\/tr>\n
<\/td>\n <\/td>\n(Bii1)<\/td>\nThe remainder has the two following properties. It never has a larger value than the next lower base of the total expression.<\/td>\n<\/tr>\n
<\/td>\n <\/td>\n(Bii2)<\/td>\nthe remainder is expressed by the same mathematical function as when it occurs in isolation.<\/td>\n<\/tr>\n<\/table>\n<\/dd>\n
Keywords<\/dt>\n
numeral<\/dd>\n
Domain<\/dt>\n
word formation<\/dd>\n
Type<\/dt>\n
no genuine implication; rather: provided that<\/dd>\n
Status<\/dt>\n
achronic<\/dd>\n
Quality<\/dt>\n
absolute<\/dd>\n
Basis<\/dt>\n
56 languages mentioned in Greenberg 1978a<\/a><\/dd>\n
Source<\/dt>\n
Greenberg 1978a<\/a>: 280 (#38)<\/dd>\n<\/dl>\n
\n
Counterexamples<\/dt>\n
<\/dd>\n<\/dl>\n","protected":false},"excerpt":{"rendered":"

Universal 1364: Original In systems with more than one base, there is a base, the base for predictable explanation, above which in all numerals certain…<\/p>\n

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