Even in math "infinity" often means "unbounded". For example, in real analysis if we have a sequence x_n, we write lim x_n = ∞ to mean "given any real number a

Even in math "infinity" often means "unbounded". For example, in real analysis if we have a sequence x_n, we write lim x_n = ∞ to mean "given any real number alpha, we can find a natural number K, such that x_n >= alpha for all n > K".