General mathematical ideas and objects that recur across many branches, or anchor a single branch's basic vocabulary, distinct from a specific theorem, conjecture or named branch. Belongs here: concepts such as Prime Number, Manifold or Algorithm, grouped below by the branch of mathematics each concept belongs to. Does not belong here: a specific proved or open claim about a concept, filed as a theorem or conjecture instead.
Browse By
Sources
Wikipedia: Axiom
Wikimedia FoundationContains: Axiom, lead paragraph, opening definitionQuote, Contains: Axiom, lead paragraph, opening definition
An axiom, postulate, or assumption, is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
Wikipedia: Cantor's Diagonal Argument
Wikimedia FoundationContains: Cantor's Diagonal Argument, lead paragraph, opening definitionQuote, Contains: Cantor's Diagonal Argument, lead paragraph, opening definition
Cantor's diagonal argument (among various similar names) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.