double-negation

> The double-negation holds in propositional logic Double-negation isn't a proposition, so don't know what this means.

You're totally correct that double-negation elimination is a specialization of the CPS transform which is a specialized form of Yoneda.

Also, most English dialects don't strictly follow double-negation rules.

However, double-negation introduction, that is, the proposition: for all A, A -> ~(~ A) does definitely hold in constructive logic.

The double-negation holds in propositional logic (law of the excluded middle) but definitely not in constructive logic: You don't get that for free, you need a path from ~A to ~~A to A.

No, but it's disingenuous to claim people who consider the speaker to be ignorant are only taking into account the double-negation, when the phrase contains a combination of multiple factors, such as language and content.

But the speech isn't in "many languages", it's in a particular language where the double-negation is considered incorrect, therefore there's no need to make assumptions about race or background to consider the speaker ignorant.

Double-negation elimination, that is, the proposition: for all A, ~ (~ A) -> A does not hold in constructive logic.