Full Idea
The fundamental theorem that 'there does not exist a set of all sets' designates the inexistence of Being as a whole. ...A crucial consequence of this property is that any ontological investigation is irremediably local.
Gist of Idea
There is no Being as a whole, because there is no set of all sets
Source
Alain Badiou (Briefings on Existence [1998], 14)
Book Reference
Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.160
A Reaction
The second thought pushes Badiou into Topos Theory, where the real numbers (for example) have a separate theory in each 'topos'.