"to grasp what infinity means", you must not be a finite being, but a god.

Here is my counter offer.
Tell me your number!
If it is correct, I will give you 1 SBD. If it is wrong, you will admit that I won your contest.

To make it easier to you, I will only test 3 versions.

x^x^x^x^x = 2
x^x^x^x^x^x^x = 2
x^x^x^x^x^x^x^x^x = 2

If all three equations are true for your number, I will give you 1 SBD.
Any real number is a valid entry. It doesn't matter if it is a floating point or an integer. As long as it is a number, I will accept it.