P is a measure, measures are stable by complementarity, and by definition of a tribe and of a probability measure, P(omega)=1, therefore P(Null)=P(omega^c)=P(omega\omega)=P(omega)-P(omega)=0
No, it means that there's always an outcome. That outcome can be 'nothing happens', but there is a result to the experiment (which can be anything like a coin toss or the survival of Schrödinger's cat). For example, if your experiment was "Will I suddenly be hit by an asteroid in the next five seconds", the probability of the event 'Nothing happens' is close to 1.
P is a measure, measures are stable by complementarity, and by definition of a tribe and of a probability measure, P(omega)=1, therefore P(Null)=P(omega^c)=P(omega\omega)=P(omega)-P(omega)=0
So the probability that nothing happens is null?
Exactly!
So this means that something always happens?
No, it means that there's always an outcome. That outcome can be 'nothing happens', but there is a result to the experiment (which can be anything like a coin toss or the survival of Schrödinger's cat).
For example, if your experiment was "Will I suddenly be hit by an asteroid in the next five seconds", the probability of the event 'Nothing happens' is close to 1.