User blog comment:Simplicityaboveall/Insanely Fast-Growing Functions/@comment-28606698-20170922185938/@comment-5529393-20170926021234

I'm well aware of the fact that functions can change one variable and not the other. What I said was that your _definition_ of h does not work if n can only be 10.

So let's start off with h(0,n). According to your paper, $$h(0,n) = 10 \uparrow^n 10$$. BUT, from what I gather from these comments, n CAN ONLY BE 10, and attempting to set n to some other number is simply incorrect.

So let's try and evaluate h(1,n). According to the paper, $$h(1,n) = h_0^n(1)$$. So first we want to evaulate h(0,1).

But there, n is 1! And n has to be fixed to 10. So your definition cannot be implemented.