Please explain the error in my reasoning with this:
Let T be a formal theory within which Godel's first incompleteness theorem can be proved. In other words... suppose when we write the proof of godel's incompleteness theorem we are doing so within…
Is there a correct solution to Exercise 1 of Chapter 1 of the book "Gödel's Incompleteness Theorems" by Raymond Smullyan? I think it's impossible to find one.
The exercise:
Suppose L is a correct system such that the following two conditions…