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Digging Holes / 2009-07-10
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If we can agree that

when the surface of a perfect sphere is divided into two halves (A and B), the point directly opposite any point on half A will necessarily be on half B and vice versa
and
the earth is nearly spherical, and the equator divides it nearly perfectly in half
and
The United States of America is located entirely and indisputably within one of the two hemispheres marked out by the equator
and finally that
The People's Republic of China is located entirely within the very same hemisphere as The United States of America
then I think we can forcefully conclude that
there cannot exist any point in The United States of America that is directly opposite any point in the People's Republic of China.

Let us consider this subject completely laid to rest.

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