''And they don't seek pleasure either.''
''And they don't seek pleasure neither.''
Which of this sentences is correct? Or are both of them incorrect and I should retort with something like:
''Nor do they seek pleasure.''
The first is correct.
The second is a good example of a double negative, where instead of resulting in a positive statement, results in a nonsensical sentence
The last example however, is preferable, as it presents the concept more concisely.
The first is standard English. The second is common in various colloquial Englishes. The third is somewhat literary.