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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!
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...
by
Daniel Liu
Do there exist uncountably many subsets of the natural numbers such that every pair of the subsets has finite intersection?
by
Ivan Koswara
Let \(\Bbb Z_2[x]\) denote the set of polynomials with integer coefficients modulo 2.
What is \(|\Bbb Z_2[x]|\)?
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 \(-4,-2,0,2,4,\ldots\).
by
Yash Dev Lamba