@joefromchicago,
I believe the Law of Causality to be true because it is self-evident.
"It is indeed the acme of irony when someone touts the primacy of science while, at the same time, claiming that a supernatural force must have caused the big bang."
If not a force outside the natural world, which is what I call a supernatural force, then what?
Do not mistake the above for an assertion based on lack of evidence to the contrary, I have PROVIDED that evidence time and again. My arguments are not as you say, based on a lack of evidence to the contrary. As I said, I can provide a plethora of examples of the Law of Causality in action, though I think it unnecessary. Additionally, my belief that there is a supernatural force in play is based on science, founded on the Law of Causality, the validity of which you are questioning.
"I'm quite happy accepting cause and effect. They are very useful concepts and I rely upon them all the time. That doesn't mean, however, that I accept that there is a law of causality that applies to the physical world."
Then you are happy being hypocritical. Accepting Causality as valid one situation and invalid in another.
If it is not a law, then there is no objective standard of causality, and therefore it is merely subject to interpretation. Whether or not you want to believe there was a cause.
Again, if you are happy to ignore the Law of Causality as a matter of will then I can not persuade you otherwise with any amount of evidence. Would you like me to provide examples of the Law of Causality in action in the physical world? I would hope that they are evident enough that I need not demonstrate them.