Fascinating writing and the speculations of the physicists are remarkable.

Your examples of dimension assume a metric … but do you think it important to begin with a topological definition of dimension instead?

For if the metric is taken out, and we begin to work just with the properties of space itself, then mathematicians have not yet been able to give a complete proof that there exists even three dimensions. Perelman’s 2003 proof of the Poincare Conjecture is just a start.

A grain of salt …

    Simplicus ………………………………………………Tate Robert

    Written by

    Researcher in le temps perdu: sex, race, ethics, the clinic, logic, and mathematics. Founder and worker at PLACE www.topoi.net

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