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. Algebraic Geometry (Wikipedia)
Wikimedia FoundationRenaissance sectionQuote, Renaissance section
The French mathematicians Franciscus Vieta and later Rene Descartes and Pierre de Fermat revolutionized the conventional way of thinking about construction problems through the introduction of coordinate geometry.
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