Monday, January 24, 2011

Constantin Brâncuşi - Mathematics Interferences

An interesting paper:
by SAMOILĂ Gheorghe Ştefan,
Aplimat – Journal of Applied Mathematics, Vol. 2 (2009), No. 1, 227-234.

Fractals and partitions

A recent major breakthrough is announced here (Emory University's site, eScienceCommons). Looks like ultimately periodic sequences made the news. Also see here a recent article by Ken Ono (The Last Words of a Genius, Notices of the AMS Volume 57, Number 11, 1410-1419), and here a relevant abstract by John Webb (An improved “zoom rate” for the Folsom-Kent-Ono l-adic fractal behavior of partition values).

Image source.

A relevant video - Ken Ono talk (Emory University YT Channel):
New Theories Reveal the Nature of Numbers

Tuesday, January 11, 2011

Kierkegaard on truth

The truth is a trap: you can not get it without it getting you; you cannot get the truth by capturing it, only by its capturing you. (Søren Kierkegaard)
This 'being captured by the truth' is echoed, in a sense, in mathematical research (and in science as well). It's as if a certain picture of the world (visible/physical or invisible/mathematical) progressively unfolds inside us, acquiring in the process a 'pointing beyond', iconic feature, that lifts ourselves.