Pierre Deligne Wins Abel Prize For Contributions To Algebraic Geometry

They are only using integer coordinates. I do not know the math well, but I suspect that is why it is finite. Also, there are different sizes of infinity. For example, the "number set of all numbers" versus the "number set of all positive odd number integers".

From the article: "The Weil conjectures concern the points on algebraic varieties that have integer coordinates (in the case of the circle, x and y must be whole numbers). The number of such solutions ? typically, there are only finitely ma

Source: http://rss.slashdot.org/~r/Slashdot/slashdotScience/~3/ML2Xx5QKDIk/story01.htm

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