Mathematics Atlas

How Proof Is Made
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Origin Era

Origin era places a mathematical concept in the period when it was first developed. Wikipedia dates the modern study of set theory to work begun "in the 1870s," followed soon after by the "discovery of paradoxes within naive set theory" that forced mathematicians to rebuild it on firmer footing. Browsing by origin era traces how mathematical ideas have built on each other over time.

Origin Era
Sources
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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