〈 Berger | Dillon 〉

No, statement about finite beer but infinite surface confuses math reality (infinite) with physical reality (bounded). Physical reality has lower constraints on fundamental particle scale. Mathematicians should stop make these confusing statements, they sound funny.

Of course I don't think that this could have a physical reality, just like Banach-Tarski--I'm not a mathematical realist. However, these are "mathematical beer mugs" for which the statement is simply accurate. So, I disagree with your philosophical stance on this.

Not philosophical. On the contrary, the math beer mugs are philosophical. At Planck scale the surface disintegrates to quantum foam.