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Topic: Transitive Property
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Athens
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Posted: 10/18/2014 7:12 PM
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Ohio defeats Akron. Akron defeated Pittsburgh. Pittsburgh defeated Virginia Tech. Virginia Tech defeated Ohio State. This means Ohio is better than Ohio State..:)
OhioCatFan
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Posted: 10/18/2014 8:29 PM
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Uncle Wes wrote:expand_more
Ohio defeats Akron. Akron defeated Pittsburgh. Pittsburgh defeated Virginia Tech. Virginia Tech defeated Ohio State. This means Ohio is better than Ohio State..:)
You don't need to convince me! ;-)
Victory
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Posted: 10/19/2014 3:44 PM
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You can get to most teams that way. But I'm surprised at how many you can't. The unbeatens you can't get to. Alabama, Auburn, and Norte Dame have only lost to the unbeatens and you can't get to them. Then there is Texas A&M & LSU that have multiple losses but only to above teams. Surpringly, There is a group of Big XII teams that don't work either as they have only lost to Alabama, Auburn and each other: WVU, Baylor, TCU, KSU, Oklahoma. That may be it but it is more than I expected.

Ohio State beat Maryland
Maryland beat Indiana
Indiana beat Missouri
Missouri beat South Carolina
South Carolina beat Georgia

and

Pittsburgh beat Boston College
Boston College beat USC
USC beat Arizona
Arizona beat Oregon

and

Oregon beat Michigan State
OhioCatFan
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Posted: 10/19/2014 11:09 PM
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I remember my freshman year at Wittenberg, before I transferred to OHIO, we used a string of about 10 of these this-team-beat-that-team and that-team-beat-this-team transitives to conclude that Wittenberg was better than some big name school. I think it might have been Notre Dame or Penn State.
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