In a pure-logic kind of way, finding B where B is exactly equivalent to A means nothing, yes. However, in a human-communication kind of way, it’s often useful to stop and rephrase your argument in different words. (You’ll recognise when this is helpful if your debate partner says something along the lines of “Wait, is that what you meant? I had it all wrong!”)
This has nothing to do with formal logic; it’s merely a means of reducing the probability that your axioms have been misunderstood (which is a distressingly common problem).
In a pure-logic kind of way, finding B where B is exactly equivalent to A means nothing, yes. However, in a human-communication kind of way, it’s often useful to stop and rephrase your argument in different words. (You’ll recognise when this is helpful if your debate partner says something along the lines of “Wait, is that what you meant? I had it all wrong!”)
This has nothing to do with formal logic; it’s merely a means of reducing the probability that your axioms have been misunderstood (which is a distressingly common problem).