The Nature of Mathematics, 12th Edition
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Chapter 2
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Chapter 4
Chapter 5
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Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
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Reference Topics

The University of Alabama has a nice website that discusses the mathematics of voting:
http://www.ctl.ua.edu/math103/Voting/overvw1.htm#What%20do%20we%20mean%20by%20fair?

This site presents a rather through discussion of voting and voting dilemmas:
http://fc.antioch.edu/~james_green-armytage/vm/define.htm

This site on voting discusses some of the voting dilemmas encountered in this section:
http://mathworld.wolfram.com/Voting.html

This site by the American Mathematical Society gives an excellent overview of voting and elections.
http://www.ams.org/featurecolumn/archive/voting-introduction.html

This site presents a discussion of the fairness criteria.
http://www.ctl.ua.edu/math103/Voting/whatdowe.htm

This site gives some references to Arrow's Impossibility Theorem:
http://mathworld.wolfram.com/ArrowsParadox.html

You can use this site to find real-life examples of voting dilemmas:
http://www.archives.gov/

This site has an agenda aimed at proportional representation. Arrow's impossibility theorem proves that there is no perfect voting method, but this site does make interesting reading.
http://accuratedemocracy.com/elect.htm#Page2