Recent content by Darth Crater

I've declared Prototype 2 non-canon even as I play through it.

Last movie: Harry Potter Last game: Deus Ex, H.R. Last book: 1633 So... A war between magic and future technology set in Renaissance Europe? Sure.

My school (RIT) is nicknamed Brick City. That's actually a pretty good name for a Fallout settlement, so let's go with that.

Infinite save points, complete with quicksave and quickload. Ideally, with the saves in an easily editable format... That would break the universe horribly if more than one person had access to it, though. So... safe FTL drives (game source: KOTOR).

... Why exactly does changing your password help? Facebook's web designers don't SEEM incompetent enough to use a user's password (hashed or otherwise) to determine whether a 3rd-party app can access a user's data. In fact there's no reason for the password to be anywhere near the third-party...

Martin Silenus - he can't be any worse for the US than Harding...

The "Definition of a number set" argument is circular, and the last argument appears to be disproved immediately below. As for my statement, I don't see how it could be used to set two arbitrary numbers equal to one another; could you explain further? The problem here is that "everything is...

Then they are the same number, by Dags90's logic, yes?

Sigh, double post.

I, in turn, apologize for my lazy dismissal of said proofs (while true, my statement made no further arguments to support my case). I'm not sure what you mean by the number between being "itself". There is never "another 9" added; it is, from the beginning, an infinite series. The number is...

By definition, it does (0.9... anyway, not 0.9999). There cannot exist proofs both for and against the same thing, so the proofs at that link are necessarily false; sadly I don't have time to pick over them in detail.

How about my proof, then? If the two were different real numbers, by the density property, there would be an infinite number of other real numbers between them. No such numbers can be found. Thus, they must represent the same number.

As a computer scientist, I can tell you that what you're seeing is a floating point rounding error. In general mathematics, they are equal, but (being infinitely long) the series is impossible to represent in digital form. Please, preach your soothing wisdom further.

Doesn't work this way. The "..." means that it NEVER ends. There's no end to tack a 1 onto without there being more nines afterward to render the resulting sum greater than 1. Infinity is HARD.

Sigh.. Far too much of this thread is made up of people trying to apply intuition to math, when they could instead be looking up perfectly functional definitions. When infinite series, sets, or anything else get involved, math starts not working the way you think it does. EDIT: also, far...