Nearing Completion of Evaluation of RS system (not)

Unless you're in a weightless environment. As mentioned above the pit can't be on Earth since it is bottomless. So, that leaves open the question of whether the location has gravity.

In addition, since it's an infinite rope, if you assume you're on Earth then the rope would have more mass (and hence more weight) than the planet itself (in fact, it would have infinite weight). You couldn't lower the rope.

The only real answer when dealing with infinities is ... undefined.

I like chicken.

I like pussy.

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But your question posed an imaginary infinite rope into an imaginary bottomless hole. Therefore, it's not unrealistic to assume that the rope also has imaginary infinite tensile strength, as the question posed was one of distance.

That is, unless DonDiego has access to real infinite ropes at his local hardware store, and real bottomless pits near his home. Such a thing may be possible deep in the Appalachians, I suppose.

prefect objects to DonDiego posing a question about "imaginary" things while quoting DonDiego correctly not saying anything about anything imaginary.
The question does not depend upon availability of an infinite rope or a bottomless pit to DonDiego.

The distance which prefect seeks can be expressed in a simple algebraic expression involving the diameter and density and strength of the rope; DonDiego leaves this as an exercise for the reader.

For the record, I was also disappointed with Don Diego's answer to his puzzler, but while the frequency of such disappointments seems to be increasing, I'm getting used to it. Don't worry, I'll be OK.

However, I would posit that DonDiego's rope in question is indeed imaginary (stated or not), unless DonDiego has truly discovered a way to create an infinite length of rope from a finite amount of resources. If that is so, I applaud him (although I wonder where this rope is stored).

Therefore, my imaginary infinite length of rope was merely better constructed than DonDiego's, as mine had the properties of infinite tensile strength. Therefore, the simple algebraic expression would not apply.

If the question does not, in fact, include imaginary objects, and the inclusion of the word "infinite" was accidental, then the answer that DonDiego was seeking was merely the simple algebraic formula referred to in his last post (which he claimed to leave to the reader).

However, inclusion of "infinite" in the question was obfuscatory, and makes the question unanswerable because it introduces too many unknown variables. Therefore, there cannot be a "a legitimate honest-to-goodness "real" answer" as posted earlier without providing further assumptions.

I, too, was disappointed with DonDiego's answer....sadly, for I do not recall a previous disappointment.

Does poor old DonDiego posit that one must stop lowering a rope when it breaks? Or that a break in an infinite rope makes it less infinite?

If, as one suspects, poor old DonDiego alludes to the Martingale, time might be better spent by getting to poor old DonDeigo's point.

Kudos to mrmarcus12LVA for illuminating the issue in a way that the answer becomes apparent, using poor old DonDiego's answer.

If the rope were to continually break due to the load capacity (because it wasn't constructed with imaginary "prefectium"), one may lower an infinite amount of rope into the bottomless pit.

The question did not specify imaginary objects.
The question is not unanswerable because of "too many unanswerable variables. prefect, himself, states the simple algebraic formula is the answer; it does not depend on any unknown variables.

DonDiego often disappoints. He suggests the reader get used to it.