Collatz Conjecture - Supporting Arguments

Supporting Arguments

Although the conjecture has not been proven, most mathematicians who have looked into the problem think the conjecture is true because experimental evidence and heuristic arguments support it.

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    There is no assurance of the great fact in question [namely, immortality]. All the arguments are mere probabilities, analogies, fancies, whims. We believe, or disbelieve, or are in doubt according to our own make-up—to accidents, to education, to environment. For myself, I do not reach either faith or belief ... that I—the conscious person talking to you—will meet you in the world beyond—you being yourself a conscious person—the same person now reading what I say.
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