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You've got the science thing backwards -- with one exception of course -- science always comes second. 

 

Newton got hit by an apple before he studied gravity.

 

Computers were designed and built long before there was any computer science.

 

I can find the area under a curve without calculus -- because calculus came as a shortcut after-the-fact.  "First principles" was the observation of something that wasn't calculus until after the observation.

 

Machines flew before we knew how they flew.  Actually, it took NASA an additional ten years to figure out how a plane might fly in the Marshian atmosphere -- because all of the science of the last 100 years of flight never considered variables for different gravity and different air.

 

Medicine is the exception, but only because we don't allow inventors to test medicine before a lot of science has been done.  That's different in developing worlds where witch-doctors have been prescribing herbs and roots and vegetation to fix all sorts of things, all very much without science.

 

Blood-letting.

 

Theory comes way after practice.  Theory is most definitely used to guide further development of practice.  But practice still comes first, and it also comes last.

 

More importantly, scientists, especially mathematitians, and unfortunately debaters/lawyers/logicians as well, get cause and effect totally backwards -- much as you have.

 

When practice conflicts with theory -- when observations conflict with equations -- either the observation is incorrect, or the equation is incorrect.  But in no circumstance is the object being observed incorrect.

 

Math, and formal logic, are merely languages, no different than English, used to efficiently predict what's being observed.  When the prediction doesn't match the description, the prediction is wrong -- every time. 

 

The real world doesn't act according to the laws of physics.  The laws of physics describe what we've seen.  It's a huge difference that the world of formal academia never understands.

 

But hey, as with all business ventures, I give you the same advice.  Use a database to achieve all of these scenarios when someone's paying you cold hard cash that you intend to use to buy a new fancy sportscar. 

 

I guarantee you that before you buy your car, you'll give up on your academic nonsense.