The infinite and the sets of Georg Cantor

Those who were defined paradoxes of the infinite, at least for the human mind, were the mathematician G. Cantor object of intense study and research to limit the ability of the thought, almost a mission on behalf of humanity that can be summed up in its maximum: "I see it, but do not believe!", since there is a match biunivocal without exceptions between the points of a straight line and those of a plan, and a square or a cube would incredibly the same "power" (the concept of infinite sets - equipotent) of the own side. Cantor (1845 Petersburg - Halle 1918) was educated on religious principles from the wealthy merchant and Lutheran father and the mother who came from a family of musicians, he studied in Zurich, Berlin, Göttingen and then taught mathematics at Halle where invented the set theory is that still the basis of modern concepts of "numerousity" and infinite present, work hard opposed by colleagues so that ended up causing in the mathematician various mental disorders and depression resulting in psychiatric hospitalizations, but that gave us a new global vision and has revealed the theory of transfinite numbers (one Universe to be observed with gratitude).

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