Hey, I was just randomly thinking about infinities and something one of my teachers said and it got me thinking. If you had a single unit of something. And divided it into 2 parts, you could divide it into an infinite amount of fractions. Essentailly that 1 unit would be made up of an infinite amount of fractions.
Now based on all this hypothetical stuff that's probably crap, couldn't you say that something can be in two states. Either a single unit or a series of infinite fractions? And that something would be in superposition until you decided to say that object is either one or the other?
Sorry in advbance if all of this stuff ends up being crap, but I was just curious about this. Any feedback is welcome, thanks.
Weisenheimer’s Uncertainty Fractions? 
In quantum mechanics you can have superpositions of state, but once you observe the thing, and determine which actual state it is, it is that way. You can’t say it’s in the other ‘state’ at the same time, and the states are meaningfully distinguishable. You don’t necessarily ‘decide’ which state happens. Its a property of the universe.
In mathematics, even if you call a unit value a sum of infinite fractions, it is also a unit value, or the finite sum of two halves, or the product of a nonzero integer and its reciprocal, or any number of other ways you can come up with a unit value. That is, even if you have the value 1, you also have the value 1/2 + 1/2. You can decide at a whim to get 1 any way you like. It still represents the same value, so it’s not really a ‘state’ – mathematically 1 and 1/2 + 1/2 are indistinguishable.
k, I wasn’t sure if the superposition theory also concerned mathematical things in addition to quantum physics. And thanks for helping me clear up the infinite fraction/ unit value stuff.