I think it absolutely gets confused. Infinity, the number, is routinely confused with creating an onto function mapping digits of pi to a set with a cardinalit

I think it absolutely gets confused. Infinity, the number, is routinely confused with creating an onto function mapping digits of pi to a set with a cardinality of the natural numbers. But sadly most people don't have the mathematical maturity to understand the difference when they encounter their first irrational number (normally pi).