(Untitled)

[ivellious]

Here's something for you math guys again:

Proof that ∞ = 1/4

Since an infinitely large plane has the coordinates of (-∞,∞) × (-∞,∞), this means that

∞ = [∞ - (-∞)]²

Which can be simplified to

∞ = (2∞)²

The rest follows naturally:

∞ = 4∞²

∞/∞² = 4

1/∞ = 4

1 = 4∞

∞ = 1/4

Anyways I thought it was kind of neat.

Comments

[daghi]

interesting for sure, only thing is that infinity is not a number so something like 2(infinity) doesn't really make sense.

[ivellious]

Yeah, in reality ∞ is thought of as a direction as opposed to a destination. And that's exactly why it's not a correct proof. I'm treating ∞ as any other value and not the concept of infinity. If infinity hadn't been infinity, ∞/∞ would be 1 and provided that the area of an infinite large plane is (-∞,∞)², ∞/∞² would be 4. Of course, this isn't correct; infinity is probably a lot greater than 1/4 and can't at any rate be given a proper value - it's infinite.

[l337_f41lur3]

you cant have negative infinity anyway...

[ivellious]

Yah, its not a value.

[daghi]

you can definatly have negative infinity, its just infinity in the opposite direction, i've used negative infinity a lot in integration.