"On the eve of publication, Bertrand Russel wrote to Frege and pointed out that Frege's logical system allowed statements that were ambiguous -- neither false nor true."
This makes it sound as though Russel showed the system to be incomplete, and the reference to Godel's theorem in the next paragraph reinforces the confusion. Russel instead showed the system to be inconsistent, which is much worse.
This makes it sound as though Russel showed the system to be incomplete, and the reference to Godel's theorem in the next paragraph reinforces the confusion. Russel instead showed the system to be inconsistent, which is much worse.