Category Archives: Gödel’s theorems
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
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
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
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
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
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
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
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.)
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
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!