If you understand Naturalism as in that everything be represented accurately then the question makes sense, because the burden of proof is about truth, not natural mechanisms.Understanding Naturalism as the idea that everything is caused by natural mechanisms……….I am not asserting that naturalism is wrong; I simply lack a belief in naturalism …….. Do I have a burden proof? (I assume not)
So if there is some naturalism in this forum, can you provide evidence for naturalism?
In trying to divine the divine ways, the Greeks explored natural laws, as there was no distinction for them between the divinity behind the veil and the world in front of it. Divinity was considered revealed in the understanding of a new law. "Nature's mechanisms" are god's mysterious ways. The more you discover of the way things are, the better you understand divinity. In that manner, a natural description or explanation, one that does not include extraordinary divine intervention, is the most accurate representation, hence the most truthful.
Truth is not encapsulated in man's words. It is not captured by words, it is not spoken in words. Truth is in the way things are, apart from man's words and ideas. When a man speaks the truth, the whole truth, and nothing but the truth, he only approximates what is (depending on word choice, language structure, and influencial ideas). So when a man makes an assertion about the truth, it automatically acquires a burden of proof, the weight of responsibility to be that represenation of what is. Your belief about things does not impact that burden.
As for your second question, the evidence for natualism is the history of science.