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Hello.
The law of negation of negation shows the difference in formal and dialectical logic.
In formal logic, negation is a statement that a proposition is false. It looks like a “roundabout” turn. The negation of the negation is the negation of the very falsity of the judgment – once again “round about”. As a result, the negation of the negation is equal to the statement.
Example. A = “it's raining”. B = not A = “it is not true that it is raining” = “it is not raining”. not (not A) = not B = “it is not true that it is not raining” = “it is raining”. That is, not (not A) = A.
In dialectical logic, negation can be direct or inverse. Direct negation is the loss of the old quality in order to acquire a new one. Reverse negation – return to the old one. The double-applied direct negation – the appearance of a new quality-is the result of dialectical development. Dialectics, like history, goes only forward, so the reverse negation is only a formal operation, as a rule, which has no implementation (you can't enter the same river twice). Two negatives give a new quality.
Example. The patient stays at home. He's sick. So they put him in the hospital and start treating him. The first denial occurs – the patient was hospitalized, he “left” us. But now he has been cured and returns home healthy – in a new capacity. This is the dialectical negation of negation. Then there was a sick person, and now he is healthy.
Dialectical negation is like turning a screw half a turn. Negation of negation is a whole turnaround. But this is not a return to the original position, but a forward movement along the thread.
Other examples: a person goes to study and returns learned, a thing is given for repair and accepted as corrected, a theory is revised after detecting anomalies, and a new theory is obtained that takes into account the old one and adds new features.
Good luck with your studies, dear readers!
It can be well explained with the help of German grammar , in German, it has a word that is spoken in negation of negation, and it in turn shows the complexity of the development of the dialogue and its high speed of this very development.
That the new always replaces the old, and then is replaced by the newest, as the new becomes obsolete. At the same time, positive signs are preserved and negative ones are lost. For example, society went through various stages in its development: slavery was replaced by feudalism, feudalism by capitalism. Or plant growth: the grain is negated by the shoot, the shoot by the flower, and so on.