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The scientific method is a process by which we describe the true
nature of the universe (whatever "true" means, and whatever "universe"
means) through a process of observation, statement of a falsifiable
hypothesis, deductive testing of the hypothesis by experimentation,
etc.
As for mathematics, it is distinguished from science in that it does
not follow the scientific method.
I think that I am a working scientist. What, pray tell, is the
"scientific method"?