Infinity and Distance

Bored one day, long ago, I was thinking about some of the strange constants of the universe, like infinity (which I spent about 5 hours trying to round off) the speed of light as the theoretical constant of absolute speed... that sort of thing. I had my own theory.

Here it is: You are traveling to a point that is an infinite distance away and are traveling at a speed that is infinitely fast.
How long would it take you to get there?

How far would you have moved after any period of time?

Proof:
By definition, infinity can never be reached. Therefore, you would always be the same distance away. Because of the afore mentioned definition, you would always be the same distance away and will never really have moved at all. (All of this is relative, of course).

None of this is true. Maybe. Hey, I never said it was original or exciting, just a theory. It's your fault, really; no one made you look in here. It's not like I MADE you look at this crap, did I? No, I didn't. That's right, buck-o, you looked in here yourself and have no one else to blame.

Every Horse has an Infinite Number of Legs (Proof by Intimidation):
1. Horses have an even number of legs.
Behind they have two legs, and in front they have fore legs. This makes six legs, which is certainly an odd number of legs for a horse.
But the only number that is both even and odd is infinity.

2. Therefore, horses have an infinite number of legs.

3. Now to show this for the general case, suppose that somewhere, there is a horse that has a finite number of legs. But that is a horse of another color, and by the [above] lemma(*)
["All horses are the same color"]; therefore, that horse does not exist.

(*) A lemma is an auxiliary proposition used in the demonstration of another proposition.