OT: but Mr. Architect, why can't you make a perfect world?

[Tolkien]

Silly Omni. If it were really an infinite amount of sheep, having an infinite amount of wolves would mean absolutely nothing. Yay for theoretical math!

[Omnirizon]

Originally Posted by Tolkien

Silly Omni. If it were really an infinite amount of sheep, having an infinite amount of wolves would mean absolutely nothing. Yay for theoretical math!

yest but they are countably infinite, and since with infinite resources there is no way for wolves to die (from hunger of lack of sheep), only sheep can die (by being eaten by wolves). so eventually, wolf population will reach the critical mass needed to kill sheep quicker than they can breed.

[chrispedersen]

Originally Posted by Tolkien

Silly Omni. If it were really an infinite amount of sheep, having an infinite amount of wolves would mean absolutely nothing. Yay for theoretical math!

That isn't true. At least according to my theoretical math class many years ago.

Series go to infinity with different speeds and thus have different sizes.

Infinity / Infinity can be any answer you want - depending on the series involved.

[Tolkien]

But would not wolves eventually die infinitely due to old age? Even if this were not the case, how can something possibly be countably infinite, when infinite is by definition uncountable?

[Agema]

Originally Posted by Omnirizon

basically, with infinite resources...

In other words, it's not the real world, then.

Obvious issues:

If sheep become sufficiently scarce, wolves have trouble finding them. Consequently, wolves will end up hungry: firstly they'll end up fighting other wolves for hunting territory and effectively cull themselves, or as they starve become unable to chase sheep effectively and die anyway.

Furthermore, you have to imagine population migration. Imagine a two-province island. The wolves eat all the sheep in one province, and either starve or move to the other sector. Either way, that sector becomes wolf-free. Surviving sheep from the second sector migrate into the wolf-free sector and flourish, and when the wolves realise the sheep are back in the sector they cleared out, they move back in, and so they go back and forth.

[lch]

I dream of a perfect world of grass. And for grass.

[vfb]

Clever sheep would not set their reproduction rate to max, they would also set their own growth time to zero. Then you get infinite grass, infinite sheep, and a whole lot of happy wolves.

[Stavis_L]

Originally Posted by vfb

Clever sheep would not set their reproduction rate to max, they would also set their own growth time to zero. Then you get infinite grass, infinite sheep, and a whole lot of happy wolves.

Clever sheep != sheep

[Sombre]

This ignores the well documented self culling that goes on in unsustainable animal populations.

[Illuminated One]

The only species that does multiply beyond limit are humans?

Which proves that clever sheep are the most advanced species on this planet. They are just to clever to show it.