Hi I am looking not to understand the Incompleteness Theorem, but to find out more about how and what this has effected the mathematics world. I am in high school, in Honors Algebra II, and I am ...
I am currently doing exercises on the Gödelian theorems; and we are confronted with the introductory puzzle of R. Smullyan's book, which is as follows: Suppose we have a machine which prints strings ...
I am working on the following homework problem for a logic class on Godel's incompleteness theorems and the following question is asked. Is the converse of Theorem $13.1$ true? Explain. Theorem ...