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>technological solutions, technological solutions everywhere
Just as imporant as all the machinery and bits of tech are ideas and practices. You can't make a gunpowder army out of nothing without the acceptance of conscription, drilling and, ideally, a general staff. Sure, you can teach anybody how to simply load, shoot and clean a gun in a fairly short period of time, but teaching an army the importance of volley fire, unit cohesion and drill is another matter entirely. Shoot, that stuff's important even without guns-- leave the army's equipment untouched but introduce drilling excercises, NCOs, quartermaster, ordnance and transportation corps, professional army doctors and military schools and the power of the army will increase dramatically, even if they still are armed with pikes and crossbows.
And that's just military matters! Financial regulation and market reforms could easily turn Silesia into a greater economic powerhouse, generating greater tax revenue for the crown in turn permitting for the maintenance of a moderate standing army and expanded bureaucracy.
Public schooling is also an absolute necessity. If you want to produce a sufficient quanitity of anything, maintain a small army of clerks and really popularize modern techniques in industry and warfare, you've absolutely got to increase literacy rates.