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Backward Induction, Reality, and Time
Philosophers love to argue over what exactly constitutes Reality. Questions over which philosophers love to argue are inclusive of, “Is reality a frame created in the mind, or does there exist reality outside of the mind?” Questions that relate to essence of reality are inclusive of character of time, namely, “is time itself real, or is time merely an illusion?”
One of the tools of Pure (Abstract) Mathematics is a principle referred to as Backward Induction Compatibility.
Application of the tool works as follows. A Mathematician asserts (proposes) a statement that he or she believes to be true, a statement not as yet shown to be true by any other Mathematician. Using tools of Pure Mathematics that already are well accepted to ‘all’ Mathematicians, the Mathematician attempts to establish truthfulness of the new assertion. In this respect, note importance of application of only those principles already accepted to be true by ‘all’ Mathematicians. If the Mathematician is successful, the new assertion (Proposition), which is established using already established tools of Mathematics, becomes part of the received wisdom of Pure Mathematics.
If you wonder how it is, what already is known produces what hitherto had yet to be known, know that this is part of the…