"WM" <email@example.com> wrote in message news:firstname.lastname@example.org... Matheology § 175
>Until then, no one envisioned the possibility that infinities come in >different sizes, and moreover, mathematicians had no use for actual >infinity. The arguments using infinity, including the Differential >Calculus of Newton and Leibniz, do not require the use of infinite >sets.
that is wrong.
>There are only countably many names.
Wrong. a name is simply a set of letters of any number.
>Conclusion: Infinities do not come come in different sizes.
>In fact >mathematicians have never had use for actual infinity because they >could not.
>All they could is to believe that they had use for actual >infinity, i. e., for numbers that have no names and cannot be used.