Category Archives: Gödel’s theorems

G

Thanks to Orlando May

I’m getting back down to work on the second edition of An Introduction to Gödel’s Theorems. One thing I plan to do is to put up some pages of exercises as I go along, which I’ve been meaning to do … Continue reading

Posted in Gödel's theorems | 2 Comments

Good news on 2nd edn of IGT

Good news. I’ve a contract to do a 2nd edition of my Gödel book. Not quite under the terms I’d have ideally liked, like another 50 pages, a couple of years or more to do it, and of course a … Continue reading

Posted in Gödel's theorems | 5 Comments

Four lectures on the First Incompleteness Theorem

Better late than never — here’s what I said, more or less, in four lectures earlier this term on the First Incompleteness Theorem. The lectures were aimed for maths students, but only the last of the four requires a bit … Continue reading

Posted in Gödel's theorems | Leave a comment

IGT, 2nd edn again — and an unofficial bribe!

As I said in a post here a couple of weeks ago, I’m negotiating with CUP about a second edition for An Introduction to Gödel’s Theorems. (And if you have any suggestions/comments about what improvements you’d like to see, do … Continue reading

Posted in Gödel's theorems | Leave a comment

The MRDP theorem

I gave a rough-and-ready talk yesterday, introducing the MRDP theorem to some logic-minded philosophers (mostly postgrads). The aim was to explain what the theorem says and why it is interesting, rather than to talk about the proof in detail. Here’s … Continue reading

Posted in Gödel's theorems, Logic | Leave a comment

GWT updated

The first two episodes of Gödel Without Tears have been corrected — catching a few typos but mainly to correct the silly thinko that David Makinson caught. And there are new versions of episodes 7 (Arithmetization of Syntax) and 8 … Continue reading

Posted in Gödel's theorems | Leave a comment

Oops! A blunder in GWT

David Makinson has emailed to point out a foul-up in Episode 2, §9, of Gödel Without Tears. (Actually, he very kindly called it an “anomaly”. This suggests one of those irregular conjugations: “I made a little slip, what you wrote … Continue reading

Posted in Gödel's theorems | Leave a comment

Godel Without (Too Many) Tears. Episodes 5 & 6

Here are the handouts for the last two Gödel lectures: 5. Primitive recursive functions 6. Expressing and capturing the primitive recursive functions (These two haven’t changed greatly from the previous versions from earlier in the year.)

Posted in Gödel's theorems | Leave a comment

Godel Without (Too Many) Tears. Episode 4

I’m afraid that life has been rather distracting recently, with little time for more-than-minimal blogging. I hope, however, that things will get back to normal after a few more very busy days catching up with life. Here, in the meantime, … Continue reading

Posted in Gödel's theorems | Leave a comment

Gödel Without (Too Many) Tears. Episode 3

Here are the notes for today’s lecture. 3. Two weak arithmetics To repeat, there’s a dedicated GWT comments page here — still unused, despite many hundred downloads of previous episodes!

Posted in Gödel's theorems | Leave a comment