If he is saying that infinite sets are a mathematical impossibility then he is wrong.
But I’m fairly sure that he is saying they are a physical impossibility. Which is not at all unreasonable. (this is the “territory” I think he is talking about)
I have a feeling we are working with different definitions of the “mathematics”. I think your definition of “mathematics” might be “symbols that occur in physics and can be manipulated to give answers about the universe”.
My definition is something like “set of axioms ⇒ conclusions about the structure of the object generated by the axioms” (which includes things like the real numbers, which gives calculus, so the first version of “mathematics” is included the second).
If he is saying that infinite sets are a mathematical impossibility then he is wrong.
But I’m fairly sure that he is saying they are a physical impossibility. Which is not at all unreasonable. (this is the “territory” I think he is talking about)
I have a feeling we are working with different definitions of the “mathematics”. I think your definition of “mathematics” might be “symbols that occur in physics and can be manipulated to give answers about the universe”.
My definition is something like “set of axioms ⇒ conclusions about the structure of the object generated by the axioms” (which includes things like the real numbers, which gives calculus, so the first version of “mathematics” is included the second).