Yes, you are certainly right, within the group of people who think about the philosophy of math. But that is what makes OP's:
> When a mathematician says infinity they mean a repeatable process that we can keep doing forever.
obviously false. Some philosophically-minded mathematicians may well agree with that, but certainly not all. And as for the "average" professional mathematician who never thinks about that stuff, they would not at all agree with OP.
Yes, you are certainly right, within the group of people who think about the philosophy of math. But that is what makes OP's:
> When a mathematician says infinity they mean a repeatable process that we can keep doing forever.
obviously false. Some philosophically-minded mathematicians may well agree with that, but certainly not all. And as for the "average" professional mathematician who never thinks about that stuff, they would not at all agree with OP.