Conjecture 1
Generation of Word
1 Let it be supposed that meaning of word is expressed in pre-Hilbert space H.
2 There exists Hilbert space H~ that contains pre-Hilbert space H as dense subspace
3 H’s linear operation and inner product is in H~.
4 Extension of meaning at word is guaranteed in space.
5 Geometrically let it be supposed that word is open sphere which is countable closed set.
6 Language is considered in succession of spheres that is expressed as <Quantum Theory for Language>.
[References]
<Hilbert space>
<Extension of meaning>
<Generation of hierarchy in language>
<Sphere>
Tokyo May 30, 2008
No comments:
Post a Comment