10/23/2007, 06:24 PM
Indeed, the only law of tetration is:
\( {}^{y}x = x^{\left({}^{(y-1)}x\right)} \)
which is also the definition of tetration, so it is more a matter of where this definition leads, and it has been found that it leads to a contradiction when your equations are also assumed. So we must conclude that those equations do not hold for tetration.
Andrew Robbins
\( {}^{y}x = x^{\left({}^{(y-1)}x\right)} \)
which is also the definition of tetration, so it is more a matter of where this definition leads, and it has been found that it leads to a contradiction when your equations are also assumed. So we must conclude that those equations do not hold for tetration.
Andrew Robbins