Friday, July 27, 2012
Mathematics
Mathematics is a science fun for those who get between their mazes. Once you have lived within the mathematical logic understand many of the everyday processes through numerical approach. For example, world trade is based on numbers, which were created to represent a logical and structured a business transaction physical independence of objects involved. If you are selling animals or chairs, the common language is the number of objects, which is a number and price, which is also a number. Then you need to say is sell 2 objects to 5 coins each. The numerical result is the same in both cases, since the amount is equal and the price also. This is how you build the mathematical abstraction, stripping the numbers of their relationship with the physical objects and keeping certain features in common. That way you invent a numeral, for example 5 that represents all sets containing the same number of elements which represents 5.
Then we have relations between the eyelets which also can be represented abstractly by adding constraints derived from physical relations. If we define as the sum of the fact accumulating objects of the same species, then a constraint that all objects will be a sum should be of the same nature. So do not add apples and oranges, unless they change the nature of fruit to add them. You may find that by redefining pears and apples as fruits we can add, that's what you do in math when it extends the domain where a function or relation between objects is applicable. The sum derived from common onjetos in real algebraic sum can become objects defined in that were not necessarily derived from simliar in reality. The modular algebraic sum is a hybrid derived from reality, defined for algebraic operations. The amount relates to modular add numbers from 1 to n, and from n, restart the series. For example daylight hours can be divided at 12 noon and when we say it's 3 pm they really are saying is 3 modulo 12, which MEANS 15, but can also mean 27, 39 and so on.
This operation called addition modulo n is derived from a real situation which was to extend beyond purely mathematical structure. This is how we see the world differently through mathematics. Greetings http://matematicasaprendiendo.blogspot.com/
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