| viXra.org > Set Theory and Logic > 2601 |
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| viXra.org > Set Theory and Logic > 2601 |
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[2] viXra:2601.0107 [pdf] submitted on 2026-01-23 15:47:43
Authors: Yuly Shipilevsky
Comments: 1 Page.
We introduce a paradox, which we named it "Friendship Paradox":"EVERY lady chooses less attractive lady as a friend. If so, why opposite, those less attractive lady is a friend of those more attractive lady? Contradiction."
Category: Set Theory and Logic
[1] viXra:2601.0007 [pdf] submitted on 2026-01-02 15:53:37
Authors: Miloš Čojanović
Comments: 4 Pages.
It is generally accepted that Georg Cantor proved that the set of the real numbers in the interval (0,1) is not countable. Actually instead of real numbers, Cantor considered a set of infinite sequences composed of two characters 'm' and 'n'. We will prove that the countability of rational numbers in the interval (0,1) is crucial for Cantor's Diagonal Argument on the uncountability of real numbers in the interval (0,1) and the Cantor's proof cannot be directly applied to the set of real numbers since some of the rational numbers in binary form can be expressed in two different ways.
Category: Set Theory and Logic
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