Quick set of questions:
you have this spell "language":
Is this "language" finite ? Warcraft 3 has a "finite" spell language, allowing only 10 points to be allocated around 4 spells if you are maxed out.
Is the language countably infinite ?
This would in the line of D2 where you have plenty possible spells with functionially infinite points to be placed in them.
Is the language uncountably infinite ?
This would be where you create your spells from a theortically infinite string and have an infinite string of points to put in them. *looks around at the dazed expressions*
uhm...
Say you have a runes- it can be any one of a infinite combination of shapes and colors(idea: drawing runes and colouring them- different shapes and colors do differnt things)
And they can be strung together infinitly many times.
(this is all THEORETICAL now)
That would be uncountably infinite, I think.
If anybody here has taken a abstract algebra course, please feel free to weigh in and correct me.
What all that says, to me at least, is that if you have a uncountably infinite spell language, it is very powerful.
A countably finite language is not quite as powerful, and a finite langauge is alot weaker.
Think of the difference between integers and reals.
Integers just dont have some numbers like PI. So its "weaker" than the reals, which do have PI. And of course a finite set has a finite number of elements, which weakens it greatly.
My ending statement is: what would you rather play ?
A theoretically uncountably infinite spell world, or a countably infinite spell world, or a finite spell world.
The opinion I have is that being a wizard where I had acces to an uncountably infinite set of spells would be really bloody cool.
Holes in this system ?
1: Practically: nothings infinite in a computer.
2: Theres not much difference between 1.00001 and 1.00002, so fine distinctions won''t matter a humoungous amount.
I''m not sure what else would give out many problems...
Ideas ?
~V''lion
Bugle4d