Operator Algebra Conjecture 3  Recognition  

Operator Algebra

Conjecture 3 

Recognition  

TANAKA Akio

1

Total of words is finite at a certain time.

2

Total of being generated sentences is infinite at a certain time.

3

Recognition of total words is practical for its finiteness.

4

Recognition of total of being generated sentences is uncertain for its infinity.

5

For guarantee of recognition of words and sentences, finiteness is indispensable condition.

6

From the viewpoint of guarantee of recognition, uncertainty of total’s infinity at sentences is demanded.

7

From the correspondence with classification of von Neumann algebra, total of sentences is concerned with <properly infinite>, not concerned with <purely infinite>.

[Reference]

Kac-Moody Lie Algebra / Conjecture 1 / Finiteness in Infinity on Language / Tokyo February 10, 2008

Tokyo March 23, 2008

Sekinan Research Field of Language

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