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Saturday, 10 May 2025

Set Theory 4

 Set Theory 4

 

TANAKA Akio

 

 

1 <Word> is a permutation of letters.

2 <Sentence> is a permutation of <word>s.

3 <Language> is a set of <sentence>s.

4 <Word>s and <sentence>s have <pattern>s and partial <variation>s.

5 The <pattern> is shown by #  #.

6 The <variation> is shown by {  }.

7 For example, /you/, /your/ and /yours/ have a <pattern> #you-#, a <variation> {0, r, rs}.

8 <Pattern> is a permutation.

9 <Variation> is a combination.

10 <Sentence> is a permutation of <permutations and combinations>.

11 <Word> has <grammar>.

12 <Grammar> has <item>s.

13<Grammar> consists of a pair of <item>s.

14 The pair consists of right half and left half.

15 <Item>s have hierarchy.

16 Each hierarchy is called <class>.

17 <Grammar> is a permutation of <class>s.

18 <Language> consists of <permutations and combinations>.

19 Meaning in <language> is expressed by permutation and combination.

 

 

Bandaisan August 23, 2005

 

Sekinan Research Field of Language

 

www.sekinan.org

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