KnowraCantor's diagonal argumentLinked fromLinked fromThe 12 pages that link to Cantor's diagonal argument, each with the reason it gives.All 12Broader topic 4Related 7Compared with 1CardinalityRelated: Cantor used it to prove that the real numbers are uncountable.Countable setRelated: It establishes the uncountability of the real numbers directly.Transcendental numberRelated: Related counting arguments show transcendental numbers vastly outnumber algebraic numbers.Infinite setRelated: It proves that the real numbers cannot be listed, establishing an uncountable infinite set.Uncountable setRelated: Cantor used it to prove that real numbers cannot be completely listed.Schröder–Bernstein theoremRelated: Diagonal arguments often establish one-way cardinal bounds that the theorem can complete.Cardinality of the continuumRelated: It proves that no list of real numbers can exhaust the continuum.