Research and Application of Concept Algebra Volume 1

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Jan 1, 2012, 6:48:12 PM1/1/12
to Concept Algebra
Research and Application of Concept Algebra Volume 1
have been published on amazon.com
A serial research and application of Concept Algebra will be
published. The research results of concept algebra will be appeared at
this serial; the found history of concept algebra also will be
published at this serial.
The part one of this volume includes that the research results of
concept algebra are “Graphic of Wu’s syllogism”: “Graphic of Set
theorems 1”: “Graphic of Logic Laws 1” and “Principle of Robot Logic
Thought”. The “Graphic of Wu’s syllogism” shows that besides the
Aristotle syllogism there are more syllogisms were found from logic
thinking automaton that is designed based on the theory of concept
algebra. The article “Graphic of Set theorems 1” explain the assertion
“set is concept” is correct, because all of the theorems got from
logic thinking automaton too. More set theorems will be published at
this serial late. The article “Graphic of Logic laws 1” appear the
graphic of logic laws that got from backward logic thinking automaton.
The forth article proves that the intelligence robot must have the
ability of logic thinking, and the theory base of intelligence robot
also is concept algebra.
The part two is Wu algebra that was developed based on Boolean
algebra. The operations on Wu algebra was extended to four binary
operations from Boole’s two binary operations, so that the term on
this algebra can be moved between two sides of equation. The logic
equation can be solved systematically that is similar as numeral
algebra do. The set theory and the classical logic could be produced
from Wu algebra.


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