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- W205980907 abstract "This chapter discusses some extraordinary properties of infinite sets. In mathematics, as a rule, one is not interested in individual objects, but in the entire classes of such objects, such as all natural numbers, all triangles, and so on. However, such a collection consists of an infinite number of individual objects. For this reason, mathematicians and philosophers have always been interested in the concept of infinity. This interest arose at the very moment when it became clear that each natural number has a successor. However, even the first attempts to cope with infinity lead to numerous paradoxes. The sets containing infinitely many elements were not studied. The quantities were called potentially infinitely large, meaning that they could become as large as one pleases." @default.
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- W205980907 date "1968-01-01" @default.
- W205980907 modified "2023-09-26" @default.
- W205980907 title "Some Extraordinary Properties of Infinite Sets" @default.
- W205980907 doi "https://doi.org/10.1016/b978-0-12-721951-6.50006-5" @default.
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