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[Valter]

The whole point is that all of these are impossible, because they all use infinity, and infinity does not follow the normal rules of math.

[Alevice]

Much like imaginary numbers and that made up number for a number divided by zero.

1 = 2

THIS BE MADNESS! WORK OF THE DEVIL!

[deadeye]

Nor is all the maths.

There's more than one?

I don't like all these maths. 

[increpare]

The whole point is that all of these are impossible, because they all use infinity, and infinity does not follow the normal rules of math.

Replace 'normal rules of math' with 'rules dealing with finite quantities' and I agree with you.  Notions of the infinite follow many and varied (though perfectly normal and well-behaved) mathematical rules

[increpare]

I know it's wrong, but I am terrified of things that are identical.

You should like 'real numbers' then; people never are *really* talking about equality of numbers (rather membership of equivalence classes)*.  Or, even better, some strains of constructive mathematics, where there is no notion of equality at all, only inequality (you can never tell if one number is equal to another number in these systems).

What about illusions like this?

What about concentric circles?

Interesting though, though it sounds pretty awful

(*well ok this is only one way of phrasing things, but whatever.)

[moi]

The TIGS website must be pretty hardcore to take so long to fix.
The PC gamer magazine has published a link to the demake compo feature but at the moment it just falls on a dead link 

[Chris Whitman]

x=.9 repeating
*10
10x=9.9rep
-x
9x=9
/9
x=1

Yeah, .999... = 1.

It's exactly for the reason increpare said, the real numbers are equivalence classes of Cauchy sequences (or can be, anyway), and the sequence {0.9,0.99,0.999,...} converges to 1.

[medieval]

I also want to break maths:
2 + ∞ = 1

[Zaphos]

There's a 0 at the end of infinity. It's just as interesting as

∞ + ∞ = ∞
->
∞ = ∞ - ∞
->
∞ = 0

Which also is incorrect. And boring.

I think saying .999... * 10 = 9.999... seems much more sensible than subtracting infinity from infinity.  Does it lead to any illogical results?

[Chris Whitman]

Since 0.999...=1, 10*0.999...=10*1=10=9.999...

So no, nothing weird happens. Actually you're guaranteed reasonable results by the fact that the relation used to build the real numbers is an equivalence relation, meaning it always partitions the set it acts on.

Which is to say that you're guaranteed that any Cauchy sequence of rational numbers 'represents' a real number and that if any two equivalence classes intersect, they are the same class.

Real numbers just have multiple representations in terms of their decimal expansions, but thanks to the equivalence relation, you can always know they will behave themselves regardless which expansion you choose to write.

[Renton]

So guys, what's up with that cat woman thing?
It's really creepy, amirite?

[Tanner]

So guys, what's up with that cat woman thing?
It's really creepy, amirite?

THE WORLD IS ENDING
RENTON IS SETTING A THREAD BACK ON TRACK
 

[Alevice]

Such powers Barbarians wield.

[skaldicpoet9]

Aye.

[moi]

barbarians are pussies

[skaldicpoet9]

Kills Moi with his bare hands 

[moi]

throws away Skaldic's severed hands

[Renton]

So guys, what's up with that cat woman thing?
It's really creepy, amirite?

THE WORLD IS ENDING
RENTON IS SETTING A THREAD BACK ON TRACK
 

In a way, I'm re-derailing the thread.

barbarians are pussies

BLASPHEMY!
HEADS WILL ROLL!

[Cheater‽]

So guys, what's up with that cat woman thing?
It's really creepy, amirite?

THE WORLD IS ENDING
RENTON IS SETTING A THREAD BACK ON TRACK
 

Remain calm citizens. I assure you everything is fine.

[skaldicpoet9]

uses ultra sharp protruding bones to gut Moi like a mackerel