Antiworld
1 Language is an antiworld that exists in human or machine.
2 Language has rules for work as antiworld.
3 Language as antiworld is duplicable but world is not duplicable.
4 Language has inverse element. This element is called <minus word>. The notation is <-word>, <-w> or the most abbreviated <->.
5 Minus word is a mapping of <word>.
6 Minus word is also a mapping of world.
7 Word and minus word unites and generates zero.
8 For example, /desk/ and /-desk/ makes zero. The notation is </desk/+/-desk/=0>.
9The upper example, /-desk/ means still picture, image or literal system.
10 Language has zero element <0> that is a boundary between language and world.
11 Language contains associativity that works in addition and has unit element <0R>.
12 Language works in addition for which word has permutational or linear systematic constituent in it.
13 Language has lineation on surface structure.
14 Language has a set (or a group) in inner structure.
15 The research on language must go to set or group.
16 Algebra is a main tool for the research.
Tokyo December 26, 2005
Postscript January 21, 2008
[Basis]
<On the duplicability of language as antiworld>
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