%0 Journal Article %A Yaroslav D. Sergeyev %T Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems %J EMS surveys in mathematical sciences %D 2017 %P 219-320 %V 4 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4171/emss/4-2-3/ %R 10.4171/emss/4-2-3 %F 10_4171_emss_4_2_3