One Logic for All
If there is a logic to the universe - a logos or word in ancient Greek; in religion, the Word of God, a principle of divine reason and creative order, a meaning inherent in the universe that gives the cosmos its coherence and intelligibility, 'In the Beginning was the Word' - then these rules are set even before there is anything to apply them; and the same laws apply everywhere. The opposite would be an inconceivable lawless chaos which could not bring forth its own understanding.
But, given that it is our words that are used to convey this reality - or rather, perceptions of reality, if they correspond to reality - inconceivability also ensues if reality itself may be logical, but the words to describe it are not; for that, it does not matter where chaos reigns:
in nature itself,
in the language used to describe it, or
in a mind unable to comprehend.
So, the logic of the universe must correspond to that logic in our minds and brains for us to understand it - and this goes for amoebae as well as AI - and that logic must be believed in, i. e. acted upon in good faith and hope; even more in those realms which our brains are not well suited or able to understand.
And this logic must also be real, not fantasized, and correspond to the real physical laws that govern the interactions of the material world.
In other words:
The logic of our understanding and of our interactions must correspond to the logic of physical reality, in order to bring forth non-random results - and so, there can be only one.
We cannot tell if this is so, wholly or in part; but to be able to act, we must believe that it is so at least in part (or pretend to believe), or else we could not live.
Instead, we would inhabit a world of madness where no action leads anywhere, and random things happen, in a lost city of the mad - as in a literary fragment I did read somewhere, decades ago, where someone comes across a lost city in the jungle, inhabited solely by a people who, due to generations of isolation, had gone hereditarily mad, unable to communicate - the question being, can madmen bring forth or uphold a civilization (they most probably can not, but in that case were living in the remnants of one originally built by their sane forefathers).
And so, the same logic, the same words and meaning that surrounds religious faith and logic must also surround scientific and economic faith and logic. Acting outside of it is unfaithful in religion, wrong in science and criminal in economics - in fact, wrong in all three.
If the same logic applies in these three (or perhaps even more) schools of thought and dealings with reality, and the same consequences arise if it is breached - then perhaps there is a common cause or driver forcing each and every attempt to react to reality (again, from amoebae to AI; but not even a dead rock or the moon could act against it) to conform to this logic - which is not just universal but pre-universal, as the universe was forced to unfold to it:
Things shall be thus.
And if there is a common logic to all that this universe has brought forth, including ourselves (and this is a reminder that in that sense we are no different from the moon, whose logical representatives crowd the planets, and whose own ones crowd the stellar systems), then it is not unwise or illogical to search for the common cause or source of that logic - and to test it in all three thought concepts.