Rubrick and Max agree that
The phrase "by the same token" ... It's common meaning is to imply 'on the other hand' I would suggest that the meaning is the
precise opposite of that: not "conversely" or "on the other had", but rather "similarly".
Per bartleby:
http://www.bartleby.com/61/13/T0251300.html:
IDIOMS: by the same token In like manner; similarly.That is, the idiom means that a further conclusion is reached from the same argument or premise ["same token"] previously made -- metaphorically, your line of reasoning has produced two conclusions for the price of one.
