opposite and contradiction

Four valued logic Q&A 1999.8

21:Samples of T3 proposition-----Indeterminate, Future, Moral proposition

22:Cause-effect rule of T3 proposition.

23:"Opposite" cohabits and "Contradiction" is exclusive.

24:T4 definition

　

Q&A21: 3 Samples of T3 proposition-----Indeterminate, Future, Moral proposition

A:It is difficult to recognize a usual T3 proposition as a pure paradoxical form, because the antecedent and consequent is inseparable to the implication, and because antecedent and consequent does not appear clearly in the seeming of proposition. However, the reversible behavior of a comprehensible T3 proposition is as follows.

1.Indeterminate picture

Two implication is 1^st: ”Complete picturing is very impossible”（p=>-p）and 2^nd:”I can complete this picture a little more”（-p=>p）

Symbolic assignment is, first half, present picture is p, abandon the picture is -p, and latter half, imperfect picture is -p, complete picturing is p.

Picture = p=>-p=>p=>-p=>p=>-p=>----= p (-p (p (-p (p (-p (…

2.Forecast in the future

Two implication is 1^st:”It’s forecast is uncertain in the future” （p=>-p）and 2^nd:”It’s forecast will realize in the future” （-p=>p）

Symbolic assignment is, first half, present forecast is p, the forecast does not realize in the future is -p, and latter half, miss the forecast now is -p, the forecast realize in the future is p.

Future = p=>-p=>p=>-p=>p=>-p=>----= p (-p (p (-p (p (-p (…

3.Gun restriction

The gun will be lost, if the gun in the usage now is not defended from the opinion which gun is not necessary. But the gun is necessary, because our daily acts are dangerous without the gun. But recent incident made the opinion strong which the gun is not necessary. But the gun is necessary, because our daily life is dangerous without the gun.

Two implication is 1^st:” The gun will be lost” （p=>-p）and 2^nd:” The gun will be defended” （-p=>p）

Symbolic assignment is, first half, the gun is necessary is p, the gun is lost is -p, and latter half, the gun is lost is -p, the gun is necessary is p.

Gun = p=>-p=>p=>-p=>p=>-p=>----= p (-p (p (-p (p (-p (…

Q&A22: Cause-effect rule of T3 proposition. 　

A:We are usually hesitant whether to have to adopt our idea. Whether can the idea be verified correct or not for future completeness of which the idea is the part? Can the idea be likely to search for the cause where it is generated in the idea for the verification? What can be looked for just little word or forgetting image? The idea breaks rather.

Moreover, there is the scientific theory of understanding the purpose and the cause of the idea if searching for unconsciousness. If my unconsciousness cannot be considered, it is impossible to search for my unconsciousness. So, it is impossible to search the cause and effect of idea in our idea.

Such a difficulty comes from trying the forced application of Cause-effect rule in which the science is skillful to our idea. It is necessary to avoid applying Cause-effect rule to the idea by force.

But, the idea might be able to search for the cause from the future completing result. So, it is good to develop the idea for thinking about the true cause of the idea. It would be better to actualize the meaning of the idea for confirming the value of the idea or finding true hidden implication of the idea. Therefor, the idea always only becomes a starting point.

By the way, It is sure to be found that the idea is the paradoxical dual implication, if the idea is developed and the meaning of the idea can be examined carefully. Of course, the following opposite implications might be only found at first.

1^st implication: The affirmation implying the denial oneself. p=>-p (This idea might be useless)

2^nd implication: The recognition of the lack wishing for achievement.-p=>p (this idea is good)

It is easy to find the pure paradoxical dual implication from this opposite implication. So we must not bind to cause-effect-rule to evaluate the hidden inference of the idea freely faithfully actually.

Q&A23: "Opposite" cohabits and "Contradiction" excludes.

1."Opposite" cohabits

Affirmative implication and Denial implication cohabit together. Affirmative implication which recognize the real necessity and has confident of the realization of idea, and the denial implication which has not confident of the realization of idea will be opposite opinions each other. This affirmative implication (idea goes well without fail) is -p=>p, and the denial implication (idea fails without fail) is p=>-p. These opposite implication cohabit, because the truth values of these two opposite implication is T3. It is possible to cohabit because two implications do not contradict. This is fundamental reason which opposite proposition (implicative proposition) cohabits. T3 proposition which contradicts to T4 proposition or T1, T2 proposition can not cohabits T4 proposition or others.

2."Contradiction" excludes.

In mathematics, a wrong answer does not exist. The input which the computer does not accept is wrong, and the input which computer accepts is true. An acceptable input and no-acceptable input can not cohabit. They are exclusive each other.

Q&A24：T4 definition

A:T4 proposition is the self-negative proposition to keep denying the reality recognition unlimitedly by which oneself is found, or is the self-negative proposition to keep denying the existence proofs unlimitedly which keeps making every day.

It is most noble to find and to deny the dual implication that is the temporary affirmative implying self-negation and the recognition of the lack of present to be achieving the desire.

However, it is necessary to finding the dual implication that is the devotion in the life for the self-negation.

Though we keep being made the living proof every day, it keeps is to deny the living proof itself. This self-negation is most noble negation of human being from which the death is not avoided.