Example image of eyePlorer eyePlorer map for 'Uncountable set': Countable set Element (mathematics) Mathematics Set (mathematics) Cardinal number Natural number Injective function Aleph number Cardinality Sequence Surjective function Axiom of choice Zermelo–Fraenkel set theory Cantor's diagonal argument Real number Subset Cardinality of the continuum Cantor set Fractal Hausdorff dimension Beth number Omega Ordinal number Georg Cantor David Hilbert Hilbert's problems Continuum hypothesis Set theory Dedekind-infinite set Von Neumann cardinal assignment Naive Set Theory (book) Paul Halmos Aronszajn line Cantor's first uncountability proof Club filter Condensation point Countryman line First uncountable ordinal Fodor's lemma Inaccessible cardinal Luzin set Strong partition cardinal Continuous signal Infinite set Jónsson cardinal Morley's categoricity theorem Perfect set property Rowbottom cardinal Continuous game Impossible event