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One Point Determines a Line - A Geometric Axiom of Choice

Year of Award: 2001

Award: Trevor Evans

Publication Information: Math Horizons, Nov. 2000, pp. 20-24

Summary: The author shows that there is a one-to-one and onto function from the set L of all lines in the plane to the set P of all points in the plane with the additional property that if line l corresponds to point p, then p lies on l.

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About the Author: (from Math Horizons, Nov. (2000)) Ira Rosenholtz is Professor of Mathematics at Eastern Illinois University.

 

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Ira Rosenholtz
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Ira Rosenholtz
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Publication Date: 
Wednesday, October 1, 2008
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Summary: 
The author shows that there is a one-to-one and onto function from the set L of all lines in the plane to the set P of all points in the plane with the additional property that if line l corresponds to point p, then p lies on l.

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