Introduction to Set Theory. Course and some applications

      Аннотация: The ideas of empty-set, infinity, natural numbers, had been the subjects of deep thought since the 5th century B.C, with Greeks (Zeno of Elea, 490 B.C-430 B.C) in the west and Indians in the east. So, roots of the set theory are since antiquity. The concept of a set appears deceivingly simple, at least to the trained mathematician, but it isn't so. The concept of set appeared only in the middle of the 19th century, when mathematicians undertook to overcome problems that the notion of infinity posed since antiquity.

Ключевые слова: Infinite Sets, Well Ordered Sets – Ordinal Numbers