The Fermi Paradox Is Our Business Model
"The Fermi Paradox Is Our Business Model" is a science fiction short story by Charlie Jane Anders. It was first published in the online magazine Tor.com August 11, 2010.
Naive set theory
Some believe that Georg Cantor's set theory was not actually implicated in the set-theoretic paradoxes (see Frápolli 1991). One difficulty in determining this with certainty is that Cantor did not provide an axiomatization of his system. By 1899, Cantor was aware of some of the paradoxes following from unrestricted interpretation of his theory, for instance Cantor's paradox and the Burali-Forti paradox, and did not believe that they discredited his theory. Cantor's paradox can actually be derived from the above (false) assumption using for is a cardinal number". Frege explicitly axiomatized a theory in which a formalized version of naïve set theory can be interpreted, and it is "this" formal theory which Bertrand Russell actually addressed when he presented his paradox, not necessarily a theory Cantor, who, as mentioned, was aware of several paradoxes, presumably had in mind.