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  Mathematics Big, Little, Nothing, Everything [long_description] No finite set is bigger than everything, and so every finite set is smaller than something. If one object is added to a small finite set, it gets bigger, but stays small. Wait a minute. Could that be right?

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  Mathematics Cantor’s Diagonalization Method [long_description] The set of arithmetic truths is neither recursive, nor recursively enumerable. Mathematician Alexander Kharazishvili explores how powerful the celebrated diagonal method is for general and descriptive set theory, recursion theory, and Gödel’s incompleteness theorem.

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  Mathematics Strangely Convergent Sequences [long_description] Mathematics involves an intriguing interplay between finite and infinite collections and between discrete and continuous structures. Discussing summation methods, Alexander Kharazishvili looks at the fascinating paradoxes of convergent and divergent sequences.

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