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Robin Hood, the Pareto Principle, and the 47%

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It sounds like such a good idea: the wealthy should help support the less fortunate by paying their "fair share" in taxes.  But what does that mean, "fair share"? Consider the following chart from the National Taxpayers Union website: Now, I am no math whiz--unlike my son who is already deep into vector calculus as a high school junior, I didn't even know such mathematics existed until I was a sophomore in college--but it seems to me that there is very little in the data provided here that would upset Robin Hood.  We hear all the time how the top 1% are depriving the bottom 99% of their "fair share" of their earnings, but it looks to me like there are some disparities here worth noticing.  To whit: as the Pareto Principle would predict, the top 25% of earners pay 87.30% of all of the federal income taxes* in the country.  The top 50% pay 97.75% (leaving the next 3% to make up the rest, thus bringing us to the infamous 47% who pay no federal inc...