Resolution of The Paradox
Modern axiomatic set theory such as ZF and ZFC circumvents this antinomy by simply not allowing construction of sets with unrestricted comprehension terms like "all sets with the property ", as it was for example possible in Gottlob Frege's axiom system. New Foundations uses a different solution.
Read more about this topic: Burali-Forti Paradox
Famous quotes containing the words resolution and/or paradox:
“A resolution to avoid an evil is seldom framed till the evil is so far advanced as to make avoidance impossible.”
—Thomas Hardy (18401928)
“...This
is the paradox of vision:
Sharp perception softens
our existence in the world.”
—Susan Griffin (b. 1943)
Related Phrases
Related Words