New computational methodology gives unexpected answers to two Hilbert problems
(PHYSorg.com Mathematics)

A paper titled `Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems,` published in EMS Surveys in Mathematical Sciences describes a recent computational methodology related to the separation of mathematical objects from numeral systems involved in their representation. It allows mathematicians to work with infinities and infinitesimals numerically in a unique computational framework in all situations requiring these notions. The methodology does not contradict Cantor`s, and is based on Euclid`s Common Notion no. 5, `The whole is greater than the part,` applied to all quantities (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). The non-contradictory of the approach has been proven by Italian logician Prof. Gabriele Lolli.