Sentence examples for both is correct from inspiring English sources

The food at both is correct, at best.

We describe a doubly robust estimator that has the attractive feature of being consistent if either a model for the probability of selection to verification or a model for the probability of disease among the verified subjects (but not necessarily both) is correct.

"Both are correct heights.

Can both be correct?

Quite possibly both are correct.

The Tories, backing the "no" campaigns, rightly point out that these views cannot both be correct.

I think both were correct.

On the other hand, the accounts cannot both be correct.

The alternative that both are correct, does not exist.

Therefore, both evolutionary theory and the second law of thermodynamics cannot both be correct.

Obviously they cannot both be correct in their beliefs; the two propositions believed are contradictory.