Here are some potential arguments that could be used to further support premise 3-4: - The supernatural is defined as being outside the natural world and its laws, so by its nature it cannot be directly observed or tested using the methods of natural science which are limited to observing the natural world. - For something to be empirically observed or tested, it must interact with the natural world in ways that leave observable and measurable traces. But if a supernatural designer exists outside the natural world and its laws, it would not interact with or affect the natural world in ways science can detect. - Science relies on naturalistic explanations and empirical evidence. But the existence of a supernatural designer is by definition beyond naturalistic explanations and not open to