Edward G. Belaga
Strasbourg University
Guessing the outcome of iterations of even most simple arithmetical functions could be an extremely hazardous experience. Not less harder, if at all possible, might be to prove the veracity of even a "sure" guess concerning iterations : this is the case of the famous 3x+1 conjecture. Our purpose here is to study and conceptualize some intuitive insights related to the ultimate (un)solvability of this conjecture.
Keywords Collatz or 3n+1 conjecture  solvability  diophantine equations
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On the Restricted Ordinal Theorem.R. L. Goodstein - 1944 - Journal of Symbolic Logic 9 (2):33-41.
On the Restricted Ordinal Theorem.R. L. Goodstein - 1945 - Journal of Symbolic Logic 10 (3):104-105.

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