(December 6, 2021 at 8:32 am)Jehanne Wrote:(December 6, 2021 at 5:12 am)The Grand Nudger Wrote: What about thinking that intentionality can't be reduced leads you to the idea that a god became a man and died on the cross to save the world from sin and death?
The Schrodinger equation, Einstein's equations of General Relativity and (especially) the Dirac equation have very few analytic (exact) solutions; most, to nearly all, real world sets of differential (in most cases, partial) equations do not have exact solutions either. Instead, numerical solutions are the norm. This fact should nix any notion of reducibility. For instance, ecologists do not need Quatum Mechanics to do their jobs.
Just a nit-pick. They have exact solutions, often unique ones. Those solutions just can't be given in terms of the relatively few functions we typically work with. We can also describe the properties of those solutions, often, without getting explicit solutions in terms of 'elementary functions'.
