What did Frege's Basic Law V turn out to be in Russell's paradox?
Undetermined
False
True
Irrelevant
Answer
Frege's Basic Law V was an axiom in Frege's system of logic that stated that the set of all sets that do not contain themselves is a set. However, Russell's paradox showed that this axiom was false, as the set of all sets that do not contain themselves contains itself, which is a contradiction.
The Mindbender: Unraveling Gottlob Frege's Contributions to Logic and Mathematics