There is no subset of logic for allowable paradoxes.
Paradoxes seem to a logical analysis that assumes one thing must be true because another would be paradoxical, and the notion of an allowable paradox is presumed false.
But there is a logic issue in this universe that relies on a paradox:
This place shouldn't exist.
And yet it does.
a PAST logic gate was ignored to create the PRESENT which continues being fucked into the FUTURE.
>1?x = false;
>2?if (x == true){
>3??this.world();
>4?}
line 2 and 3 should not have occurred, and yet they did.
This is the logic of mistakes. The fundamental acceptance of degrees of failure which defy expectations and preparations.
The facts that this world should not exist but also that this world does exist is an accommodation for a 2 sided coin landing heads up and tails up at the same time, without the notion of shroedinger cat or splitting timelines. Just simple 2 opposite statements being true at the same time, unambiguously. Its not that the coin lands on it's edge so it's neither heads or tails. It's that the coin lands on both sides simultaneously, in our single universe.
it is difficult to imagine, but it also why it's not better understood or more commonly thought as plausible or reasonable to entertain.
Doesn't mean it isn't effecting this universe though.