Teacher: See, I told you there were real world applications for limits
The real question is, to how many iterations does the hamster say “Eh, good enough”
It’s a guinea pig!
No need to be insulting. What’s a guinea?
What a high class lady like your granny used to charge
A coin equal to 1 pound and 1 shilling.
Zeno’s Barber
Go six to eight times, then ask another barber to do the rest and a huge discount.
The sum of all haircuts is 2.
When I was a kid I encountered this problem when I wondered what would happen if I half-empty a bottle of soda, re-fill it with water, and repeat. Will it eventually become just water or will there always be some soda left? It boggled my mind for a while, then I forgot about it until I reached university calculus haha
You invented homeopathy! Just with more steps (literally).
You mean less steps. True homeopathy dilutes until there’s no measurable amount of the substance left; it’s just pure sugar/water/alcohol. You’re supposedly getting benefits from “the vibrations.”
Of all the pseudo-science quackery, homeopathy is one of the most idiot-prone.
No, I do mean more steps, because homeopathy dilutes a smaller volume of target material, they actually would perform fewer steps than dilution via halving.
Homeopathy often dilutes by taking far less than half of a solution and diluting it in a large amount of fresh solvent. One process repeatability empties the entire container and refills it with solvent.
If you were diluting something by replacing only half with solvent, you’d have to do many more steps to get as pure solvent as homeopathy produces.
Homeopathy is a tremendously wasteful way of washing a container. It’s hugely wasteful, and being a homeopathic environmentalist is oxymoronic.
That’s exactly what I mean.
The soda dilution by halves would have far more dilution steps to reach pure water than homeopathy.
Ah. I read you backwards, by bad.
All good, language is freakin hard, man!
All that matters is we got there in the end :)
Well there’s a discrete number of hairs on that rodent thing, depending how the barber rounds they’ll have to cut the last hair eventually. Unless they only cut half of the last hair?
… then they cut one half of the remaining half.
Finite number of hair cells
Finite number of atoms as well, and yet scientists can split those too.
At this point you’re splitting hairs… wait…
