Schrodinger's cat

[parallaxicality]

Here's something I've never understood about that frigging cat.

So let's say the observer has opened the box and discovered the cat is either alive or dead.

Now let's assume that the observer, the box and the cat are also sealed off from observers on the outside. From the point of view of the outside observers, the outcome has yet to be determined, and so the cat would still be both alive and dead.

So, the question I have is, how can the cat be both both alive and dead and either alive or dead? Seems to me that logic would dictate that you're either one or the other.