> I feel like the second you allow functions you've thrown the spirit of the game.
+, - (both binary and unary), ×, ÷ are functions, as is raising to a power. Why would you allow them?
As always in this kind of things, one can disagree about what constitutes an elementary function, but I don’t think taking square roots should be disqualified in this puzzle.
> Ex, the gamma function is (n-1)!
And 2 is just S(S(0)) (https://en.wikipedia.org/wiki/Peano_axioms)
> If I can hide numbers in a function call... It's trivially easy to always succeed.
I wouldn’t call the construction given by Paul Dirac trivial. Do you think it is, or do you know of a simpler one?
+, - (both binary and unary), ×, ÷ are functions, as is raising to a power. Why would you allow them?
As always in this kind of things, one can disagree about what constitutes an elementary function, but I don’t think taking square roots should be disqualified in this puzzle.
> Ex, the gamma function is (n-1)!
And 2 is just S(S(0)) (https://en.wikipedia.org/wiki/Peano_axioms)
> If I can hide numbers in a function call... It's trivially easy to always succeed.
I wouldn’t call the construction given by Paul Dirac trivial. Do you think it is, or do you know of a simpler one?