Rabu, 23 Januari 2013

Mathematical Objects



        Plato (427-349 SM) was a realist, he believed that there was reality and not tied to the human mind. A system is said to be correct if a statement explain the real state of reality which is free of the mind. Plato's famous statement is "Something is me as it happened to me, and something that was you as it happened to you.
        Plato believed that the objects in the universe is divided into two classes, namely in the form of material and non-material. Objects such as the sun, tree, animal-shaped material, while the good, the bad, the soul of a human being including category immaterial. An image rectangle including categories of material, but the rectangle itself belongs to the category of non-material.
        Aristoteles (384-322 SM), a pupil of Plato for twenty years, but he did not agree with Plato about the nature of mathematics. To him the word "two" is not a noun to an abstract object that is free from physical object, but a description of the formulation of a physical object, such as two meters in length (Anglin, 1994).
        Aristoteles put infinity in place so solid, so that almost anyone could not consider the slim until the IX century. The approach used is pragmatics, stating that infinite there, because time appears without beginning and without end, as well as numbers. If there is no greatest number called "maximal" (max), then what about the max +1 or +2? but otherwise infinite nothing in the real world, if any, for example, the human body is also infinite, it is not limited to a body.

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