Rewriting a logical statement Only lakers are irrational people.
I believe it technically should be translated as:
All irrational people are lakers.
Is there is any way at all to rewrite the above statement to mean the following and be logically correct:
All lakers are irrational people.
How would you justify it? (If it is possible)
 A: Indicating with $L$ the set of lakers $l$ and with $\Pi$ the set of irrational people $\pi$, the first statement is equivalent to
$$\forall \pi\in \Pi \quad \pi\in L$$
the second one is
$$\forall l\in L\quad l\in \Pi $$
which is not equivalent to the first one, indeed from this last one we could also have $\pi \not \in L$ for aome $\pi$.
A: All rational people are not lakers.
The opposite converse is equally valid.
The converse that you posit is not equally valid.
A: Your initial translation is correct, though in standard form I would write 
All non-rational people are lakers.
This is an Aristotelian A type statement, and A type statements have valid obverses and valid contrapositives. They do not have valid converses.
Obverse: No non-rational people are non-lakers.
Contrapositive: All non-lakers are rational people. 
So the ultimate answer to your question is no, because you are trying to get the converse of an A statement to be true, which does not happen in general.
If you had an E or I statement, the converse would be valid.
