Prize status records whether a conjecture carries a formal reward for solving it. Wikipedia notes "the Clay Mathematics Institute, having included the Poincare conjecture in their well-known Millennium Prize Problem list, offered Perelman their prize of US$1 million in 2010," which he then declined. This dimension separates conjectures with a standing prize from those pursued for reputation alone.
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Era Of Emergence Sources
1. Mathematical Logic (Wikipedia)
Wikimedia FoundationHistory sectionQuote, History section
Mathematical logic emerged in the mid-19th century as a subfield of mathematics, reflecting the confluence of two traditions: formal philosophical logic and mathematics.
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