Is it possible to conceive of an irrational entity or can only rational things be conceived of? Can irrational things exist? Of course it depend on how you define rational but maybe vagueness has more creative potential for philosophical thought.

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You are right that the answer or reply will depend on what is meant by "rational" and "irrational." If "irrational" means something (some state of affairs or entity) that defies the laws of logic, this is doubtful. Take the law of identity (everything is itself or A is A) and the law of non-contradiction (A is not not A). Thinking or speaking seems to require both; we must assume that when we think of A (whatever), we are thinking of A and this is not the same as thinking of notA. But if "irrational hings" is more broadly defined and refers to subjects who act or think in ways that seem unreasonable or (at least to us) unintelligible, then matters change. If we pursue this a bit further, though, and ask about how irrational an agent might be, we may come up with some internal limits. That is, so long as a person is acting it may be that she or he has to have some reason or other for their action; the reason may be very odd or fleeting or not fully conscious or out of touch with reality, but if a person acts on the basis of no reason whatsoever (even subconscious) we may think that the person is not so much acting but reacting or merely moving or he or she has become the equivalent of a zombie.

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