I got that impression from reading David Foster Wallace’s book on infinity. It is a fine book, but a popular treatment, specifically not for mathematicians, so perhaps it oversimplifies.
mathematical infinity has, for most of Western intellectual history, been an object of grave suspicion, even scorn. It first cropped up in the fifth century BCE, in the paradoxes of Zeno of Elea. If space is infinitely divisible, Zeno argued, then swift Achilles could never overtake the tortoise: each time he caught up to where the tortoise was, it would have advanced a little farther, ad infinitum. So traumatizing were such paradoxes that Aristotle was moved to ban the idea of a “completed” infinity from Greek thought, setting the orthodoxy for the next 2,000 years.
(excerpt is from link above).
