Infinity is a contentious concept in physics, with some arguing it doesn't exist in the physical world, while others see it as a useful mathematical tool. The discussion highlights that while mathematical models may incorporate infinity, such as in gravitational singularities, these models often break down at those points, indicating limitations in our understanding. The notion of singularities, where matter is thought to be compressed to zero volume and infinite density, raises questions about the validity of these models in describing reality. Additionally, the debate touches on the distinction between mathematical infinity and physical reality, suggesting that while infinity can exist in theory, it may not correspond to anything tangible in the universe. Ultimately, the conversation reflects a broader skepticism about the applicability of infinity in understanding the nature of the cosmos.