question: Are there necessary truths that are not analytic but are either synthetic or metaphysical? If so, what would be some examples and how would you justify your claim?

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Everything is metaphysically relevent when it comes to reasoning on a philosophical level. You reach a state of transparency in a world we are in. The order in what we seek to interpret into language. The transcending of our very thoughts into something concrete. It is metaphysically impossible not to perform philosophy without the antimatter we have within ourselves to repel or displace (a thing for that thing in itself). My point is that in order to prove what we think is a finite process within a system that may or may not work against it. Philosophy to be true of something can also be false.  

- Marco