I would be grateful if someone could tell whether these sentences are grammatically correct:

1) "The author distinguishes between the criterion of truth and the criterion of action, and says the the latter is, in the case of the Skeptic, that which appears".

2) "He always uses this cautious terminology, thus keeping away from any dogmatic assertion about how things really are".

3) "This allows us to explain away any apparent dogmatic commitment to the intrinsically desirable character of the state in question". (In this sentence I'm not sure whether I must use "explain" instead of "explain away").

4) A) "The important difference that text A presents with regard to text B is that unperturbedness is neither given as the ultimate reason why the Skeptic approached philosophy nor mentioned as the state that accompanied suspension of judgment".
B) "The important difference that text A presents with regard to text B is that unperturbedness is not given as the ultimate reason why the Skeptic approached philosophy, nor is it mentioned as the state that accompanied suspension of judgment".
(Which sentence is correct?).

Thank you in advance,

Diego