Mathematics Atlas

How Proof Is Made
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Wikipedia: Axiom
Wikimedia FoundationContains: Axiom, lead paragraph, opening definition
Quote, 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.
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Wikipedia: Cantor's Diagonal Argument
Wikimedia FoundationContains: Cantor's Diagonal Argument, lead paragraph, opening definition
Quote, 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
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