I’ve heard Lob remarked that he would never have published if he realized earlier how close his theorem was to just Godel’s second incompleteness theorem; but I can’t seem to entirely agree with Lob there. It does seem like a valuable statement of its own.
I agree, Godel is dangerously over-used, so the key question is whether it’s necessary here. Other formal analogs of your point include Tarski’s undefinability, and the realizablility / grain-of-truth problem. There are many ways to gesture towards a sense of “fundamental uncertainty”, so the question is: what statement of the thing do you want to make most central, and how do you want to argue/illustrate that statement?
I’ve heard Lob remarked that he would never have published if he realized earlier how close his theorem was to just Godel’s second incompleteness theorem; but I can’t seem to entirely agree with Lob there. It does seem like a valuable statement of its own.
I agree, Godel is dangerously over-used, so the key question is whether it’s necessary here. Other formal analogs of your point include Tarski’s undefinability, and the realizablility / grain-of-truth problem. There are many ways to gesture towards a sense of “fundamental uncertainty”, so the question is: what statement of the thing do you want to make most central, and how do you want to argue/illustrate that statement?