116- Lecture 7

We showed that recursive functions and recursive sets are \Sigma_1-representable in \mathsf{Q}. We also defined Gödel numberings and exhibited an example of one. This allowed us to define when a theory is recursive. Finally, we proved Gödel’s diagonal lemma.

Advertisement

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: