Yet another weird SF fan
 I'm a mathematician, a libertarian, and a science-fiction fan. Common sense? What's that?Go to first entry

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 Yet another weird SF fan

### An Update on Upper-Dimension Axioms

I just realized that the first upper-dimension axiom on my Netcom/Earthlink site (earlier mentioned here) also implies Euclid's axiom. In English, the axiom means that every sphere can be put inside a n-dimensional simplex. In a Lobachevskian space there's an upper limit to the size of a triangle.