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Is it possible to define that infinite become part of limitation?
Axiomatically, that the infinite can’t be contained by the finite. What is covered can’t be more than what covers it.
However, there is issue that there is no impossibility of boundless limitations.
Axiom is needed in order to enlarge the truth, so that boundaries of the truth are clearly visible.
There are several possible assumptions about infinity in relation to limitations. I use parable with an apple.
If an apple was divided continuously uncountably, divided continuously to infinity, then it’s infinite division of finite apple. Is it possible? No.
Where is the discrepancy of the observation? It’s because we use the experiment not so deeply clear. We need closer enough the object that we imagine. We zoom in so closely, then we will see the lack of carefulness of our previous observations.
When ice splits indefinitely, the distance from the left side of ice to the right side of ice will increase indefinitely which has the following consequences:
But for some of us, such imaginative observations are still felt blurry, unclear. Let’s try to go down further, even deeper. We try to dig down with the axiom so deeply to see that the axiom is still alive to argue "infinite in limitation".
In the simulation of gedanken experiment here we need to try various scenarios like a laboratory, to confirm clear observation.
We use parable with an apple, wrapped so tightly inside thin aluminum, that no cavity is found in between the apple and the inner side of aluminum layer that encloses an apple.
Now we simulate the division to an apple by itself, is it possible?
The failure of previous observations on the division of apples is that the process of logical imagination is not really realistic. Not completely furnished, it still involves division mathematically but not fully imaginary.
Correcting our viewpoint:
Conclusion: Infinite does not exist in limitation.
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