JimT wrote:

> though I suppose you need to be as old as me to talk about c rather than Aleph_1

The cardinallity of the continuum is equal to Beth-one, which is equal 
to Aleph-one if and only if the continuum hypothesis holds. And the 
continuum hypothesis is independent of the axioms of ZFC, so...

>> (Then again, one presumes that the gravitational field generated by a
>> countably infinite quantity of green bottles would somewhat exceed the
>> Earth's own gravitation. Although, since it fills a transfinite volume
>> as well... hmm, interesting.)
>>
> If the wall was on earth, the bottles would have to decrease in size, and hence
> mass, in order to fit on it, and no, I haven't decided what to do when the
> volume of a bottle is less than that of a hydrogen atom.

I wonder - is the volume of the universe infinite? (The volume of the 
*obvservable* universe clearly isn't.)

For that matter, shouldn't a countable infinity of masses generate 
enough gravity to collapse into a singularity?

> I think it is:
> 
> 99 bottles of nitro-glycerine ...
> 
> nitro being liquid and very susceptible to small shocks. I believe TNT is solid
> and stable unless detonated by explosion.

Apparently so. I was under the impression that they're both equally 
unstable, but apparently not.

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