Laymen, non-mathematicians may use the word "infinite" casually, and thus technically incorrectly.
According to mathemagicians if there are infinite yellow golf balls, and a single purple golf ball is added, jumble them all so the purple is randomly mixed somewhere among the infinite yellow,
if only one ball is randomly selected from this total group, the chance of that one golf ball will be yellow. According to the mathematical concept of infinity, the chance of extracting just one golf ball from the total group, and that one golf ball being the one purple golf ball is zero.
Consider what happens when we add one (1) to various example numbers:
7 + 1 = 8 (not 7)
146 + 1 = 147 (not 146) BUT !!
∞ + 1 = ∞
So ∞ is very large, some believe so large even the entire cosmos itself is not infinite.
Topic Question:
For human endeavor, if a prospective task vastly exceeds the resources available to complete that task,
and the prospect of 100% completing that task with the resources available is so unlikely, the task might as well be infinite (even though it isn't), can that task be considered "virtually infinite"?
According to mathemagicians if there are infinite yellow golf balls, and a single purple golf ball is added, jumble them all so the purple is randomly mixed somewhere among the infinite yellow,
if only one ball is randomly selected from this total group, the chance of that one golf ball will be yellow. According to the mathematical concept of infinity, the chance of extracting just one golf ball from the total group, and that one golf ball being the one purple golf ball is zero.
Consider what happens when we add one (1) to various example numbers:
7 + 1 = 8 (not 7)
146 + 1 = 147 (not 146) BUT !!
∞ + 1 = ∞
So ∞ is very large, some believe so large even the entire cosmos itself is not infinite.
Topic Question:
For human endeavor, if a prospective task vastly exceeds the resources available to complete that task,
and the prospect of 100% completing that task with the resources available is so unlikely, the task might as well be infinite (even though it isn't), can that task be considered "virtually infinite"?