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<p class=MsoNormal><font size=2 face=Tahoma><span style='font-size:10.0pt;
font-family:Tahoma'>Steve Eppley wrote:</span></font><o:p></o:p></p>
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<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Courier New"><span style='font-size:12.0pt;
font-family:"Courier New"'>Paul K wrote:</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>> Steve Eppley
wrote:</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>-snip-</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>>> Aren't
all the voting methods we've been promoting </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>>> both
anonymous and neutral? Doesn't that mean</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>>> none of
them are entirely non-random?</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>> </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>> No. </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>> </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>> If
"none of them are non-random" then all of them are random.</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 color=blue face="Courier New"><span
style='font-size:12.0pt;font-family:"Courier New";color:blue'>> That's
definitely not true. And the there is no connection </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Courier New"><span style='font-size:12.0pt;
font-family:"Courier New"'>> between<font color=blue><span style='color:
blue'> "anonymous" and "neutral" (whatever that means). </span></font></span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Anonymity means each voter is treated alike. Neutrality means
each candidate is treated alike<o:p></o:p></span></font></p>
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<p class=MsoNormal style='border:none;padding:0in'><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
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<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Just to set the record straight –
all “Paul K” meant was that the statement “none are
non-random” is the same the as the statement “all are random.”
That is not an opinion, or something subject to refutation by counterexample –
it is a provable theorem from the axioms of logic. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>I don’t give a hoot about formal
definitions of “anonymity” and “neutrality” since those
were not what I was talking about (but thanks for clarifying that they were
being used in a standard way). I objected to the statement that all of the
methods discussed on this list are “random.” <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>As to my original point, I objected to the
use of the term “non-deterministic” as a synonym for a method that
has a random component. Many of the methods ARE non-deterministic, but not “random.”<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>As was pointed out earlier, the proper
term for an algorithm that requires a random input is “stochastic”,
not “not-deterministic”.<o:p></o:p></span></font></p>
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