An infinite number of mathematicians walk into a bar....

[jon-nyc]

The first one orders a beer.
The second one says 'I'll have half of what he ordered.'
The third says 'and I'll have half of what he ordered', pointing to the second guy.
The fourth says 'and I'l have half of what he ordered', pointing to the third.
And so on.

So the bartender pours two beers and says 'know your limits!'

[George K]

[Klaus]

An infinite but countable number of mathematicians occupy all beds in a hotel with infinite beds.

Can they fit in another mathematician? Or even multiple? Or even infinite?

[Axtremus]

@Klaus said in An infinite number of mathematicians walk into a bar....:

An infinite but countable number of COVID-19 stricken, severely symptomatic mathematicians occupy all ICU beds in a hospital with infinite ICU beds.

Can they fit in another COVID-19 stricken, severely symptomatic mathematician? Or even multiple? Or even infinite?

FIFY.

[Doctor Phibes]

@Klaus said in An infinite number of mathematicians walk into a bar....:

An infinite but countable number of mathematicians occupy all beds in a hotel with infinite beds.

Can they fit in another mathematician? Or even multiple? Or even infinite?

I suppose it would be too far fetched to consider the idea of a mathematician sharing a bed with somebody else.

[brenda]

Is that the point of the phrase 'mathematically impossible'?

[Doctor Phibes]

I think the more accurate terminology is 'possible, but extremely improbable'.

[Klaus]

https://en.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel