Deep Fissure between Word and Sentence

Linguistic Result

Deep Fissure between Word and Sentence

　　  TANAKA Akio

Now language has some algebraic postulations below.

Word consists of elements R₁. The element has proto-meaning.

Word’s meaning is generated by product(・) of the elements.

The product of elements is called primary meaning (R₁, ・).

Word is group.

Another word ( R₂, ・)is generated.

New word is generated by addition (＋) of the elements of two words.

The addition of elements is called secondary meaning (R₁, R₂, ・, + ).

New word is ring.

The upper group and ring are regarded as commutative.

Sentence consists of words T₁.

Sentence is generated by product of words (T₁, ・).

But sentence is seemed to be non-commutative, i.e.T₁T₂T₃ is not T₃T₂T₁. /I/ /read/ /book/ is not /book/ /read/ /I/. Word is expressed by / /.

I call the situation <deep fissure between word and sentence>.

This <fissure> is seemed to be relative with true-false argument of sentences.

Tokyo September 10, 2007

Sekinan Research Field of Language

www.sekinan.org

Postscript January 21, 2008

[Basis]

<On differential structure between word and sentence>

Algebraic Linguistics / Linguistic Note / 12 / Coset / Tokyo August 6, 2007

[Foresight from past work]

<On true-false value>

Tube-Ring Theory / True and False Hierarchy of Language / For CHINO Eiichi and Prague / Tokyo July 25-28, 2006

Algebraic Linguistics / Linguistic Result / From Cut and Glue Dimension to Krull Dimension / 8^th for KARCEVSKIJ Sergej / Tokyo September 26, 2007

Postscript February 10, 2008

[Conjecture]

<On finiteness and Infinity on language>

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

Postscript August 2, 2008

[Conjecture]

<On Definition of word and sentence>

Stochastic Meaning Theory / Conjecture 1 / Tokyo July 12, 2008

<On warp and entropy of language>

Stochastic Meaning Theory / Conjecture 2 / Warp and Entropy / Tokyo July 25, 2008