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High1A requierments

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I found in the tiering system page that a high 1-A character can be defined by :
"their power influences the space of all logically possible worlds ("Logical space," where the laws governing it are the three laws of thought), being characters who either have the ability to actualize arbitrarily large worlds, or embody the framework of such worlds itself."
My scientific knowledge doesn't cover that yet, and I don't understand the wikipedia pages, can someone explain it to me please ? What are the logically possible worlds, the large worlds nad the three laws of thought ? And what does it mean with different cosmologies ?
 
That is High1-A+, with a '+'
possible worlds
a possible world is the way the world could have been, by this we dont mean that all possible worlds are achievable by going back in time and taking different decisions, it also covers things that are logically possible, it is a set of proposition like 'there exist a human" and "there exist a chair", the world would therefore be a total void with only a human and a chair.
and so, affecting all possible world would scale to all possible things, which covers anything that can be predicated possibly, so any extensions of attribute of size, which correlates with H1a+ covering all possible extensions of meta qualities
you can look at this page for more informations

large worlds:
i dont really know, my best guess is that they are possible worlds that scales to H1A+ through possessing all extensions of meta qualities (not affecting all spaces)

the three laws of thought are a sort of axioms used in logic, you use them (i hope) in your everyday life to think
law of identity : 'each thing is identical with itself' (A = A)
law of noncontradiction : 'states that propositions cannot both be true and false at the same time' (the conjonction of A and non A is always false, a pizza cant be eaten and not eaten under the same view and at the same time)
law of excluded middle: states that for every proposition, either this proposition or its negation is true (the truth value of a proposition A is either 1 or 0)
 
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