No matter what aspect you take and no matter what approach you choose, all logic about everything is circular. You can pick anything. Then reason for its causes. Then pick one of those, and reason for the cause of that. And so on. Eventually you arrive that the original thing that you picked is the reason for for your latest reason in the chain of reasons.
For example, time is circular.
I still don't follow why you're saying logic is circular, and, given entropy, how is time circular? Causation is sequentially linear as well, in spite of the fact that the emergence of the causal conditions for any given effect and the effect thereof occur simultaneously. In any event, I read you other post and sounds like you are onto something interesting. Let me hear more.
I would like to clarify myself matematically, and if it is not acceptable then I will try with narrative.
Thesis is that every logic is circular. Logic is defined as something where your state S is a consequence of your previous state and also is a cause of your next state, the difference from your current state S to the next state is d. You number all the state's in your chain of logic in consecutive order like 1,2,3,...,n,... Your argument is A.
By this basic definition of logic, that is to reiterate the above, that it's discourse d from its current state S to its next state is determined by its current state S through an argument A, we are a simple first order ordinary differential equation:
dS/dn = A*S
and as per usual maths textbooks, the solution of this, that is the solution of every logic, through the Euler theorem, is a simple exponential function:
S(n) = exp(A*n)
The argument A of logic is the key. It is incorrect to assume that A is only real, because then we just have a cogwheel, no human thinking. Therefore A is a sum of a real component r and of imagination i, in other words A = r + i.
So, what is imagination? Imagination is something whose power changes reality. For example +1 is real, and so is -1. But you can't find anything that you can multiply with itself to get anything negative, so imagination is the square root of -1, in other words i = sqrt(-1).
Now, by the Tailor expansion principle, we know, that anything that has sqrt(-1) that is anything imaginary in its exponent is a cyclical object, running in circles, producing waves as its projected aspects, cosine and since.
S(n) = r*cos(n) + i*sin(n)
And none of the above can eliminate the imaginary i part of the logic argument A, no matter what A is and how variable it may be, the cyclical circular component of logic is always there in every solution.
To kill the circular nature of any human logic, you would need to formulate A in a way that it multiplies i with zero. But this would have to be a very exact zero. And very exact things don't exist in physical life, because to get to that accuracy we would need infinitely long time:
accuracy * time = Planck constant
Planck constant = 6.63*10^-34 Js
This is also known as Heisenberg principle, and the accuracy is the energy of existence of the concept, statistically its variance. In other words, the energy by which the Creator created it.
So human logic must always be curcular, and that is why Jesus has always said, that you must look at faith and authority, not logic, if you ever want to get somewhere.