h2g2 The Hitchhiker's Guide to the Galaxy: Earth Edition

I remember
Doing the time warp
Drinking
Those moments when....

But that's just the reason they wouldn't be useful to someone _outside_ the car.

You wouldn't happen to be a college student, would you? Because those are pretty close to the as yet unofficial college food groups.

PtB _did_ say, in the message just previous, that she would have called something a load of cods wallop. Sounds like a criticism to me.

It wouldn't have infinite volume, though, merely infinite mass. In fact its length would be zero, so I don't think you could fit all your shopping in the boot.

Define half a vehicle......?

A vehicle that had only one of the aforementioned headlights, implying that one had been a replacement.

Bear in mind, of course, that to put the shopping in the boot it would have to be travelling at the same speed as the car, and would therefore also have zero length. As you can fit an infinite amount of zeroes into zero, you could fit a lot more shopping in at the speed of light!

So along that theory how many sardines can you fit in a tin until it stops?
and by the way 0/0 is usually a finite number:
If you take one zeor as eight, divided by infinity, and the bottom one as 2 divided by infinity, then they are both zero but the infinities cancel each other out, making 8/2, which is four, this however raises another question of which particular infinity you use to divide the numbers by!

That doesn't mean 0/0 is "usually finite"; what it means is that it's an indeterminate form.

Ah yes. Good point.

0 = 1

Proof: n² = n+n+n+n+ ... +n (n times) for any integer n
d(n²)/dx = d(n+n+n+ ... +n)/dx
2n = 1+1+1+1+ ... +1 (n times)
2n=n
0=n for any integer n
=> 0=1

Another proof:

0=0+0+0+0+0+....
=1+1-1+1-1+1-1+1-1+....
=1+(1-1)+(1-1)+(1-1)+....
=1+0+0+0+0+....
=1

Sorry, can't see how you get the second line. It's illogical (but then again, so am I)

Oh, sorry. I was going by memory, and I got it wrong. It should be
0=0+0+0+0+....
=(1-1)+(1-1)+(1-1)+(1-1)+....
=1-1+1-1+1-1+....
=1+(-1+1)+(-1+1)+(-1+1)+....
=1+0+0+0+....
=1

However, you'd still have -1 at the end, which would cancel the +1 at the start.

If a pregnant woman gave birth in the back seat of the car going at the speed of light with the headlights on, would the child ever be born?

Never mind that. What would its birthweight be? What time would be given as the time of birth?

But there is no end; it's an infinite series.

I know about the proof that there are more real numbers than integers. It goes along the lines of imagine that you can count all the reals (reals are numbers like 1, pi, 3.7, 3.87857757...., -8 etc.) using the integers ( integers are 1,2,3,4,5, etc). If you do that they can be put in a list. So what you do is construct a new number taking the nth digit from the nth number and so you get a new number that you haven't counted. That's it simplistically. I did a degree in Maths at Oxford University. I didn't believe this particular reasoning because you need both an infinite list and an infinite amount of time to contruct the new number. So you could argue that the proof is useless