I won't go into all the details but, to summarize, I'm planning on writing something on the philosophy of science and I was wondering if it's possible to deductively prove, that is without the use of observation or experience, the conservation of momentum. I know that it's possible to prove it using Newton's third law, but that itself requires induction. As a side note, without meaning to sound too pretentious, is it possible to prove Newton's third law using Pauli's exclusion principle? If so, is the exclusion principle deductive? Anyway, apologies for my naivety and I look forward to seeing your responses.