<div>This comparison may be rather crude, but I think trying to answer that question is analogous to a very prehistoric human trying to deduce what is beyond the big blue thing above it. I'd say probably millions of years from now, we will need extreme innovations that will physically manifest what we qould now consider to be absurd illogic. Take the Law of the Excluded Middle, for instance. It states that everything must either be or not be...but what if the "postposthuman" technology I just speculated would invert such a law and allow something to be physically being and not being, simultaneously on, say, the macroscale. Or, for an infinite impossibility to actually occurr whilst still remaining infinitely impossible. </div>
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<div>Paradox: A frontier outside of infinity...but surely infinity, because of it's infinite nature, would encompass the frontier outside of it; feedback, a loop...thus the need for cyclo-anarchic technology that will allow paradoxes to be transcended and for a "frontier outside of infinity" to be explored...for absurd illogic to exist and to be explored physically. </div>
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<div>I'd love to hear some of your ideas too :)</div>