Friday, August 21, 2009

Gödel's incompleteness between use and abuse

  • A number of misinterpretations involving Gödel's incompleteness theorems are addressed in the article The Popular Impact of Gödel’s Incompleteness Theorem (Notices of the AMS, April 2006, p. 440) by the late Torkel Franzén (he passed away in 2006 due to cancer, at age 56), author of "Gödel's Theorem: An Incomplete Guide to its Use and Abuse" (Wellesley, MA: AK Peters, Ltd., 2005).
  • In the final part of his article "The nature and significance of Gödel’s incompleteness theorems" (Institute for Advanced Study, Princeton, Gödel Centenary Program, 2006), Solomon Feferman (from Stanford University, one of the world's leading logicians) questions the relevance of Gödel’s incompleteness in relation to the fundamental laws of physics and especially the "theories of everything" matters.

Tuesday, August 11, 2009

An application of elliptic curves to one-time pad cryptography

Award-winning poster presentation at the 2007 AMS/MAA Joint Mathematical Meetings held in New Orleans, LA.

Sunday, August 2, 2009

GPF sequences

On a class of recurrent sequences based on the greatest prime factor function. Award-winning poster presentation at the 2007 AMS/MAA Joint Mathematical Meetings held in New Orleans, LA.