I have no idea of what people mean by asking about being different than themselves. How we choose to react to an environment, does not change who we are. To look at the question in the complete abstract, can you assign the relative difference between two boundaries to either of the boundaries? Or in the simple metaphor, is the coffee the cup which holds it?
Part of exploring an environment dictates trying different responses. In fact, it is how I use to play in the state.
However, attempting to learn math in a lucid dreamstate, that brings back memories. I tried that one time, and had the most extraordinary response. Fact is, I was tested.
I went years puzzled about the test, and finally realized that it was my answer. In order to understand mathematics, one has to understand the foundation of all language itself.
Unless you take that path, you will never know when you are speaking gibberish in any langauge--even in mathematics. For example, one of countless: A number is no more than a name generated by an ordered naming convention. This being the case, it resides in the class name. Now since every member of a class resides in that class by the same definition by which it acquired class membership, what would you think of going to an English grammar class and hearing, negative name, positive name, imaginary name, real name, transfinite name? Or the absurd, class of all names?
Can you predicate of a form? If a name in of itself, is assigned characteristics other than its given assignment, can it be a name at all?
When you learn and can teach the foundation of langauge itself, you will understand the principles of every logic system. I believe Plato intimated as much.
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