I responded to that part of your post as well. I am fully aware of what "identity" normally means in mathematics. I didn't feel the need to make a big deal out

I responded to that part of your post as well. I am fully aware of what "identity" normally means in mathematics. I didn't feel the need to make a big deal out of the word in my original post since it's somewhat tangential and I thought it'd be clear what I was referring to (since the author of the post uses the same terminology). Your point that true identities can't be proven with numerical calculations is true but not relevant, because as we're both aware these identities are not the pure sort of identity you had in mind when you wrote that post.