Grigori Perelman: Here, the parameter is not time, but scale â" and our space is modeled not by a manifold with a metric, but by a hierarchy of manifolds and metrics connected by the Ricci flow equation. This mathematics belongs to the new century and the new millennium, but the notion of a hierarchy of metrics would have pleased Riemann. Note that we have a paradox here: the regions that appear to be far from each other at a large distance scale may become close at a smaller distance scale; moreover if we allow Ricci flow through singularities, the regions that are in different connected components at a larger distance scale may become neighboring...

http://www.pnas.org/content/early/2011/05/10/1008636108.abstract Reputation, Karma... :-)

Here.

Somber days are coming.

NYT and Pentagon work hand in hand.

Being a constitutional dictatorship since 1787, these are but empirical findings supporting a formal proof.

Of course, since their very inception, the U.S.A. are a dictatorship: this is demonstrable with formal rigor, out of their constitution.
Now, what wasn't evident becomes more and more clear.
Poor Americans, if you don't come to democracy, democracy will come to you.

This harks back to GÃdel incompleteness theorems. See Chaitin's results.

Here one can generalize: instead of being improved monkeys we may be restrictions of something higher. And entropy hints at our downward progress.

Quantum theory: http://www.sciencedaily.com/releases/1998/02/980227055013.htm. But this is much more general.

`Is your faith that weak that it could be ruined if you admitted to yourself that Genesis is not a science text and cannot rationally be read literally?': the vast majority dismisses the Tanakh and the Gospels as un-solid, whether frankly or with deceit: that's a reason no to follow that opinion, because in this world, people, by their interactions, aggregate not around truth. For me these books, as `words', contain the most abstract concepts, which when made clear, should be of great benefit for mathematics (is Goldbach's problem solved? and that of the Continuum?). Consider what Perelman said about his trying to explain how could Jesus could walk on the waters (he suggests that he succeeded in his endeavors). Also, the greatest professed mathematicians were believers, monotheists (and tended to the same One). Among them one finds Pythagoras, Plato (yes he was acquainted with mathematics), Leibniz, Newton, Cantor, Goedel (note that Turing did not make a fundamental discovery, he just gave an adequate definition to the already known concept of `computable function of the integers' through is computors).