In article <email@example.com>, firstname.lastname@example.org wrote:
> In article <email@example.com>, > > Albrecht <albs...@gmx.de> wrote: > > Virgil wrote: > > >> Modern math ist the only "science" in which the "scientists" choose their > >> axioms by comfort, not by rationality. > > > Real sciences and scientists use hypotheses, not axioms. Use of axioms is > > the mark of mathematicians, not scientists. > > No sober scientist would ever use the Continuum Hypothesis.
They would if they found it useful.
Utility is the standard by which science screens mathematical theories.
Sober scientists might well make use of the theorems of ZFC, or other axiom systems which have allowed formal proofs of the theorems of analysis, linear algebra, , group theory, et al.
Sober scientists are not picky about which formal basis justifies the mathematics they find useful. --