Back to basics and Self-Reference vs Indeterminate results/Contradicts

A problem which can change its state allows for self reference

Suppose this situation:

You have 1 microwave.

A) Someone is making lunch. It will take 5 mins.

B) But you want to quickly use it which will take 1 min.

Time till lunch depends on whether you use the microwave.

So Lunch will take 5 mins if you don't use it, and 6 mins if you do.

You may be hungry and want to use it if lunch is not ready in 5 mins.

So this is okay cos if you don't use it lunch is ready in 5 mins.

But if you do use it then lunch is ready in 6 mons which self-justifies using the microwave. Either outcome works and there is no better solution.

Now this allows for contradiction. If you reverse your condition that you will not use the microwave then you can't win. If you use it lunch is in 6 mins so you do not use it. If you do not use it lunch is in 5 mins so you use it. There is no solution the result is indeterminate.

Now silly situation, but interesting how such things turn up in even teh most mundane situations. Now can we say that such a situation is possible with a system that cannot change the state of variable on which it depends. That is constant variables are used.