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.
Okay, I think I actually see what you're getting at, but I did have to review the mathematics of sine and cosine relative to the Tailor expansion principle to get there. I was able to follow you up to that point from the post.
Correct me if I'm wrong.
It seems to me that you're saying that the conclusion of any given argument is circularly embedded in the premise, albeit, in a universally overarching, metaphysical sense. Presumably, such an argument's conclusion would proceed from a valid premise and would entail a valid chain of discourse. I would happily agree with that as understood within the context of the Logos' authority; that is to say, one necessarily relies on the reliability of that authority by faith. But, then, we have no other alternative, as the laws of logic are incontrovertible. Hence, I have two caveats for the sake of clarity. The discourse itself is still linear, albeit, within that context, and one must faithfully observe the laws of logic in order to get to the Logos.
If I understand correctly what you are saying, then I would agree that the discourse is like rolling a paint roll on an infinite linear wall, and yes, the statements of the logic will be repeated every time it completes a full turn. This is how we can sense time.
Moreover, it is no accident that genesis saying the man and women both leave to unite and Jesus in gospel saying what God puts together human no separate.
This points to the fact, that once something exists, it appears as a difference that is it generates two endpoints. This is reality. As soon as you imagine this reality, another two endpoints exist in imagination. Square summing these two things that is the four endpoints always provides the square of a radius. It always behaves as a triangle. So the basic unit of creation is 3 that is made out of pairs. Mathematically expressed as the Pythagoras and Thales theorems.
Applying this to the Holy Trinity, the real existence is the Blessed Virgin Mary, the imaginary one is the Holy Spirit, and the resulting radius is Jesus Christ. And this is true to every marriage. Hence Jesus saying don't separate it.
In terms of enthropy, the energy of existence is the average deviation of everybody from the absolute average. That is entropy itself is such a radius. Governments invent laws and regulations to drive these deviations to zero, thereby ending existence.
We can apply your linearity argument onto the soul and the spirit too. Jesus says on the Cross when He dies that He commands His Spirit to God.
So the spirit, as a unit of creation has its real part the fellowship with God, it's imaginary part the intuition, and it's radius that is its square sum that is logic itself.
How did then Jesus send His Spirit to God? Surely you can't sit in your boat take a big breath and blow your sail to make your boat move because of energy conservation.
Jesus did it, because the pairs that make up the basic unit of 3 of the creation, that is the triangle, are orthogonal. Each pair is composed of two orthogonal qualities.
Therefore Jesus took the real part of His Soul which is His senses orthogonal to the fellowship of the spirit, then the imaginary part of His Soul which is the feelings, orthogonal to the intuition of the spirit, and the radius of His Soul which is the will of the soul orthogonal to logic, to execute that command.
And as a result, the two orthogonal triangles went into orthogonal ways. The spirit to God, the soul to hell.
The orthogonality of the pairs by which God creates and arrives at the basic unit of creation which is the 3, the triangle, is visible in everything.
For example, draw any pattern, like an arbitrary map with arbitrary country borders. When you use 3+1 colors that is four colors, you can avoid always of ending up with the same color on both sides of a border.
Orthogonality defines the pairs, like woman the real and man the imaginary, and these pairs form always a triangle wich is the resulting child, the radius, the creation itself.
Since it is a rdius, it's linearity is periodic. Everything can be decomposed into triangles. Therefore the circular repetition in every linearity in unavoidable in the Creation.
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