User blog comment:Edwin Shade/Understanding The Infinite/@comment-32213734-20171110225514

I compared definitions of many variable Veblen function in Googology Wiki and Wikipedia and noticed that they differs from each other. (Definition used in this blog is from Googology Wiki). I think the definition from Wikipedia is better and more correct.

First: in Googology Wiki in the 3rd rule is γth, whereas in Wikipedia there is (1+γ)th. z and s may be empty, right? In this case this should be a two variable Veblen function, and in definition of two variable Veblen function is (1+γ)th. So, apparently, Wikipedia is right...

Second (formally, this is correct, but may be redundant): why αn+1 ≠ 0 where n ≥ 0, not just α > 0? (in Wikipedia there is β > 0). (I think it just looks like "extension" of s, is it necessary?..)