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Archive for March 26, 2011

## Guest Post by Nestorius: All Mathematics Is Eventually Useful

Xamuel says: “The formulas which the Compiler produces are so complicated that they are utterly useless.” While he is probably right today- that might change in the near future.

Why so?

Mathematics is a representation of all elements, sets, states and actions existing in the real world through unified symbols. 1, 4, +, x, y and > are all symbols belonging to the toolset of mathematics. Mathematics is effectively a parallel language to ‘normal’ languages, such as the one I am writing in now. So instead of saying two is equal to two, in mathematics it is 2=2.

There is a function of correspondence from the real world to the one of mathematics. A function in mathematics will often behave like something in the real world. Thus, three apples, three cars and three buildings in the real world correspond to 3 in the set of mathematics. Complicated examples from the real world also have their corresponding elements in the set of mathematics. A recursive function like {1,2,4,8,16,…,x(n-1)*2} has more than one corresponding analogue in the real world like cells dividing into two.

Because the real world is infinite, all formulas produced in the Formula Compiler designed by Xamuel have at least one corresponding element in the real world. And while now we might today be unaware of a system behaving in such a manner – that could and probably will change in the future.

That is why mathematicians are ahead of their time. They have found the simple elements of derived processes which exist in the real world.

Mathematicians are often not aware of the full implications and consequences of their own discoveries. Georg Cantor, for example, has discovered the function of the human brain without knowing it. Why? Because Set Theory contains the basic functions of the brain. Sets and elements are how the brain ‘sees’ the elements of the world. Language exists in the brain. In fact, language and perception to create it consume a significant amount of total brain function. Set theory, Mathematical Logic and Mathematical Linguistics are a systematic manner to describe the action of the brain. All we have to do is to test those formulas on the brain. That’s what I am aiming at in the near future.