When I consider zero, I see a possible explanation as to our understanding of abstractions. Something I have also tested with my children in their education.
Zero has a funny place in the number line. It means nothing and yet there is no such thing as a pure nothing. It has been pointed out to me that this is true for all pure numbers but I think zero is unique in the fact that it acts in an unusual manner when used as a denominator in divisions, and the fact that thinking about nothing is almost impossible for me.
The zero unlike say the number 1 can't be considered accept as a pure abstraction. There is no 'likeness' in reality. We can only consider the 'the abscence of' something. Maybe I am harping on something I haven't given enough thought to....
I think that when we consider abstractions, what we are actually doing is performing thought on an encapsulated thought. The abstraction is surrounded by 'like' examples we have experienced physically. The more experience we have, the better we can define that thought or mental object in our minds.
Since I believe the majority of our thoughts are abstractions, we must be living in an encapsulated mind model. Could this be the reason why that when we perform something undeniably artistically progressive, it has the characteristics of being special but looked at closely, what underlies it is mostly mundane.
The simple concept of continuous improvement is an example of the most simple of ideas, yet with an ability to put one above another over time.
Going back to the zero, we consider zero only as something that includes all the possible not have or without and so on.
An interesting thing about this number is how we have made an assumption when using the division operator. We assume that zero divided by zero is actually undefined. Yet all other numbers divided by itself is 1.
Of course any number divided by zero is undefined.
I think that to divide a non-zero number by zero is actually infinite in the sense that the number is uncountable. That is it is large.
This comes from the description of the operation itself.
Going back to the object of this blog, real complex experiences are encapsulated by our physical experience of these events and/or by the abstractions (reasons?) for these experiences to occur. As a child, it may only be physical experiences.
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