I will be preforming a mathematical function to show the fractal shape of societal development. I will present some of these concepts to the class in some communication form.
Why I chose to do this:
I guess its something to do before I get out of college. I did independent studies of mathematics and biology in high school, and I would like to expand on it.
The mathematical function comes originally from topology . This concept is called a 'mapping function', in which a set of objects, numbers, ideas, ect. is mapped onto another set.
Consider two sets of numbers, one being the set of all positive odd numbers, and the set of all positive whole numbers. Mathematically, one can prove that the set of all positive whole numbers is equal to the set of all positive odd numbers by showing a one to one mapping operation. This is the concept of an infinite subset, and key to demonstrating fractal regression.
1 2 3 4 5 6....infinity
| | | | | |
v v v v v v
1 3 5 7 9 11...infinity
Because there are in infinite amount of odd numbers and an infinite amount of whole numbers, the group of positive odd numbers can be said to be an infinite subset of the positive whole numbers. This is an interesting result that shows a little bit about the nature of infinity. Something that should be 'twice' that of another can be completely absorbed by infinity.
But it is also interesting to note that there are higher magnitudes of infinity that may be discovered in the same way. I'll expand on that in the next post.
can show you a little bit about what a fractal looks like, and how it functions. Anything that is self-similar and repeatable can be considered a fractal. A tree is one, since it has a trunk and self similar branches that split off into smaller self similar branches.
I will be uniting a few concepts here (interdisciplinary).
Cell phones/computers/inorganic structures and
Cellular organelles, cells, muscles, neurons, RNA, DNA.
In the end, I should be able to glean a general equation through which to predict future technological development, innovation, ect.
As Zygmunt Bauman says, all the concern of managers is with:
"looser organizational forms which atre more able to "go with the flow" and where business organization is increasingly seen as never conclusive, ongoing attempt to "form an island of superior adaptability" in a world perceived a multiple, complex, and fast moving, and there fore as ambiguous, fuzzy, or plastic' and notable against structures with a "build-in life-expectation commensurable with the customary length of a workibg life" (Bauman, 117).
The first generation of colonization began with empty space, and ended when the space was filled. Then, the space turned inward, as seen in industrial London. Space, having turned in on itself, began to resemble a fractal. Once urban space began to fill, another space was turned on into itself; this is the space of the mind. The mental space which is the target of free markets.
AS the axes of x and y have been colonized (agricultural territory), and z, (spatial height territory (the office building, the airplane, ect.)), w has been colonizeD. If time is embedded with space, then when one compresses space, one also compresses time.
Thus, one controls another dimension if they control access to time.
"The new irrelevance of space, masquerading as the annihilation of time" (Bauman, 117).
The near is now the far, and the far near.
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