[MourYother]

> you can just chain thing forever

I think you're going to find out that no, you can't, and this impossibility is going to trivially demonstrate itself.

[bornfreddy]

Recite 99 bottles of beer on the wall, but start from 1 and change so the number increases? Stop when there are no remaining numbers or when you reach infinity, whichever comes first.

[marcosdumay]

So, is this a proposal to test how long it takes for you to lose your count?

[nick__m]

They are talking as if language was some platonic construct like a Turing machine with an infinite tape and you are talking about the concrete reality where there are no such things as an infinite tape.

Both viewpoints are useful, they can prove general properties that hold for arbitrary long sequence of words and you put a practical bound on that length.

[marcosdumay]

The question is if human are capable of infinitely extensible language.

That's clearly false. It's not about some platonic mathematical simplification. Humans patently do not fit the Chomsky criterium for intelligence.

In fact, I'm pretty sure it's physically impossible for any real being to fit it.

[snapcaster]

Can you say more? English doesn't have any cap on sentence length I think i'm missing your point

[MourYother]

> English doesn't have any cap on sentence length

Well, yes and no. Constructing this "infinite" sentence will run into some serious problems once the last star burns out, possibly sooner.

[Teever]

"I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain."