ABOUT THE RATIONALITY, RESPECTIVELY THE IRRATIONALITY OF THE REAL POWER OF A POSITIVE REAL NUMBER
Journal Title: Journal of Science And Arts - Year 2013, Vol 24, Issue 3
Abstract
We give a view about the rationality or the irrationality of the real number y^x , with x, y∈R, x > 0, with a special pointing out of the most interesting case where x and y are both irrational. We show how we can avoid the use of a theorem of A. O. Ghelfond and after presenting the propositions 1 and 2 we give a discussion about the use of the aristotelic principle „tertium non datur” and the intuitionostic point of vue of Luitzen E. J. Brouwer.
Authors and Affiliations
ANDREI VERNESCU
Keywords
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