In italian the double negation is admitted and correct:

I don't speak Italian, but I do note the OP said:

In italian the double negation is admitted and correct:

I do know that in English, there are some sentiments that cannot be adequately captured without a double negation: Eg.

I like toast. does not fully capture the semantics of I don't not like toast. (Or perhaps more grammatically correct; I don't dislike toast.)

I cannot attempt to divine the true sentiments of the double negation in a language I do not speak; but from my limited experience of other non-English languages that have constructions that make little or no sense when translated literally to English, I know that often such constructions are perfectly logical in that language.

Eg. When speaking English, a Dutch person (who are usually very competent in English) will often say "When you were a woman..." instead of "If you were a woman ..." and conversely, "If the baby is born ... " when they actually mean "When the baby is born ...". It all comes down to the duality of the Dutch words 'als'.

Similarly, expressing 8:35 in English as 5 minutes past half an hour before 9:00 makes no sense at all; but that is exactly how it is commonly expressed in Dutch: vijf over half negen.

Which I read as "I will wait until you have not arrived".

Basically, your attempts to apply non-native logic to a language you do not speak doesn't make for a sound basis of argument.

Italian is the same. The more negation, the more emphatic but the meaning doesn't change.

I am not sure about Italian, but in Spanish negation does not always sum up. For instance, we say "I don't have no book" instead of "I don't have any book" or "I don't do it never" instead of "I never do it"... but "I never do it" is also correct and have the same meaning!

Interesting. One question. Is that really "I don't do it never"; or could it be "I don't do it ever"? (I know zero Spanish!)

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I like toast. does not fully capture the semantics of I don't not like toast. (Or perhaps more grammatically correct; I don't dislike toast.)

"dislike" is not quite the same as "not like". At least in my observation, "dislike" fits between "ambivalent" and "hate":

"love" --- "like" --- "ambivalent" --- "dislike" --- "hate"

(At least as applies to the degree of liking something.)

So, "not like" would be any of "ambivalent", "dislike" or "hate", while "dislike" is a specific (range of) degree of (not) liking.

I understand what you are trying to say, but this was not a good example.