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Slicing Apple Infinitely? Can We?
If an apple was divided continuously uncountably, divided continuously to infinity, then it’s infinite division of finite apple. Is it possible? No.
- But the fact support it. Through observations, it only involves one apple. And splitting one apple infinitely, does not become as many as two apples. Still we are dealing with the same (one) apple.
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.
5
15 reads
MORE IDEAS ON THIS
It's Final
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:
- if the amount of ice before / ...
4
10 reads
This is The Time For Axiom
Axiom is needed in order to enlarge the truth, so that boundaries of the truth are clearly visible.
- Axiom: something cannot transcend beyond itself (without additional assertion)
There are several possible assumptions about infinity in relation to limitations. ...
4
28 reads
Simulation - Imagining
Now we simulate the division to an apple by itself, is it possible?
- No: because the apple is tightly wrapped, so there is no cavity / space that separates the apple.
- Yes, you can: this means that the wra...
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9 reads
The Uncovered Infinite
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:
- the amount of ice before / after splitting remains the same, while the area of water (which holds ice) shrinks, then it is no...
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8 reads
Slicing Infinitely
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.
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43 reads
It's Time For Imagining, Without Being Twisted
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 ...
4
11 reads
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It's Time For Imagining, Without Being Twisted
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 ...
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