This is one of Melvyb Braggs
In our Time programnes. It’s very interesting if you can tolerate it why not try?
Melvyn Bragg is always worth listening to in my opinion
https://www.bbc.co.uk/programmes/b00dshx3
You can also read the following article which is related

I am not clear as to which ‘In Our Time’ programme you refer. There is one on Godel’s Incompleteness Theorems, broadcast on 09 Oct 2008 and available on ‘BBC Sounds’ (at least within UK). Is this the one ?
I think you scroll down the page I linked to it is at the bottom of that page so I assume it’s the same one but thank you extremely much for going to the trouble of telling me this to help other readers. It’s Well worth listening to it