User blog comment:Sbiis Saibian/Introduction to Googology/@comment-168.212.150.41-20151110203629/@comment-5982810-20161020221048

That being said, sure, use infinity if you think it will lead to anything new. However so far the examples you have provided were either infinity, zero, or trivially small "large numbers", nothing that we would consider useful in googology. I suspect infinity is generally too powerful to handle directly in googology. Trying to force the concept of infinity to produce something finite is most likely wasted effort. You will generally be more productive using the finite to build the finite.