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Set Notation
When Cantor introduced his classification of multiple infinities, he was vehemently rejected by most mathematicians. Ye be warned: contemplating the continuum hypothesis can drive anyone a little mad!
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by
Nihar Mahajan
The number of "Figure 8's" that you can draw in a plane such that they do not cross each other is...
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by
Daniel Liu
Do there exist uncountably many subsets of the natural numbers such that every pair of the subsets has finite intersection?
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by
Ivan Koswara
Let \(\Bbb Z_2[x]\) denote the set of polynomials with integer coefficients modulo 2.
What is \(|\Bbb Z_2[x]|\)?
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by
Ali Caglayan
True or False?
The cardinality (size) of the set of natural numbers \(1,2,3,\ldots\) is same as the as the cardinality (size) of the set of even numbers \(-4,-2,0,2,4,\ldots\).
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by
Yash Dev Lamba