[Retric]

That’s not literally the same thing, it was a protest over them for not “connect wells of their property to the public service supply network.”

Which isn’t something I’d want random companies to be doing, and a figurative drop in the bucket.

[int_19h]

It's the same aquifer though, right?

[Retric]

If the factory had simply shut down without hooking up their infrastructure, the area still would have had the exact same short term issues.

The issue was arguably a lack of wells in an extreme situation, not a lack of water in the aquifer.

[pstuart]

Aquifers are not infinite in capacity, so it's a valid point.

[Retric]

Again not what this was about.

If the area can’t support the factories water use then shut down the factory permanently. Wanting to hook up to its infrastructure is all about a lack of public infrastructure.

Many aquifers are over used, but that’s a long term problem and has nothing to do with a drought in a single year.

[NewJazz]

One drop in an empty bucket is infinitely more water.

[Retric]

> One drop in an empty bucket is infinitely more water.

No multiply 0 by infinity and you don’t get one drop, ie 1/0 is undefined.

Further it wasn’t an empty bucket.

[catlikesshrimp]

In this case, as bucket content aproaches 0 drops, 1 drop becomes infinitely more, at least in calculus.

Limits in calculus: "When a real function can be expressed as a fraction whose denominator tends to zero, the output of the function becomes arbitrarily large, and is said to "tend to infinity" For example, the reciprocal function, f ( x ) = 1/x tends to infinity as x tends to 0.

Source: https://en.m.wikipedia.org/wiki/Division_by_zero

[Retric]

Tends to infinity != infinity. Also, the fundamental theory of calculus requires a continuous function.

https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculu...

[thaumasiotes]

You think it's possible for a bucket to contain a negative amount of water?

I should note that the product of zero and infinity being an indeterminate form is actually a result about the product of an infinitesimal (of small but indefinite magnitude) and an infinite value. If when you say "zero", you actually mean "zero", there is no ambiguity: zero is more infinitesimal than any infinite value is infinite, and the product of zero with anything, including an infinitely large value, is zero.

[Retric]

> You think it's possible for a bucket to contain a negative amount of water?

Irrelevant, the discontinuity occurs at 0 not a negative number.

The limit of f(X) = (X-2)/(X-2) as X approaches 2 is 1, that doesn’t mean the function has a defined value at 2. Limits seem easy because most students really don’t understand limits and thus misuse them.

[rbanffy]

Quantum physics tells us all particles are waves, so it’s possible that the amount of water will be negative in some point in time, as long as the average value is not negative. ;-)

[itishappy]

Zero times any number is zero, but infinity is not a number. In order for multiplication to be valid, your elements must share a field.