I think that saying that m &quot;equals infinity&quot; is probably a bit of a simplification.<p>One can say that some values are infinite, such as omega in the ordinal numbers and the surreal numbers, but neither of those values are what is meant in the examples you gave, which are both limits.<p>If you plugged in omega (from the surreals) for those expressions instead of taking the limit, I think you would get a value which is off by around epsilon (i.e. 1&#x2F;omega). I&#x27;m not sure of that but I think that&#x27;s how it tends to work out.<p>In the surreals one can indeed have a continuously increasing infinite value. But I&#x27;m not sure that that is a proper way to describe the &quot;total volume of the universe&quot;? Maybe it is, but idk.