No, you assert you have an answer. You can't prove your hypothesis that those things require the supernatural. If you want to talk about something that has no data points, the supernatural is it!
Science can't measure or test any of the items listed above. They are concept that don't provide data points.
It doesn't mean that naturalism can't account for them.
Natural laws would fail to measure them because they are subjective to each individual.
Here I think you have a misunderstanding of laws. Laws are descriptive models, not prescriptive. We measure things and laws are noticed from those measurements.
Natural laws MAY be able to tell us how they are generated but they can't tell us why, or what they actually represent.
Perhaps because they don't represent anything other than what they are?
It may be an irrational question like "what's north of the north pole?".
Until you can show that your question has merit, and is solely tied to the supernatural, I have every reason to be skeptical of your "explanation" (assertion) that it is a supernatural 'thing'.
Just because something doesn't seem to have "data points" doesn't mean it can't be explained via naturalism. Science seems to work really well and support naturalism, but naturalism isn't just about science, necessarily. That doesn't mean, however, that it defaults to supernaturalism.
To me, you could insert "lightning" or "epilepsy" into those assertions.
Those are natural events that science can explain how and why they happen. They also are measurable events that can have data points.
So, here you have no problem NOT asking "what is the meaning of lightning" but you must ask about Life and other things?
It seems you are not clear in how you are choosing your questions.
"Naturalism can't be true because it doesn't explain THIS!"
If it's explained tomorrow, then what?
You are assuming naturalism can explain these. I am saying it can't. There is no then what.
You are saying it can't without any evidence AND you still haven't shown that the inability to explain it is necessarily tied to a supernatural reason.
I am saying there is no reason to believe naturalism can't account for everything, just as it accounts for lightning and epilepsy. There is no inherent contradiction.
The easiest one is Purpose. Purpose is subjective to an individual. Even the purpose of the entire human race is subjective. Science can never tell any individual what his/her purpose is.
Why can't we say our Purpose is to procreate and anything else is an illusion to get you to procreate?
Or, maybe there is no Purpose, so it's a non-issue. After all, what is "Purpose"? What is your Purpose? What is mine?
Can you explain what Purpose is? Maybe it's not a real thing, but we talk about it as if it is, like gods and fairies.
Purpose is very much a real thing. What is your purpose for eating, drinking, going to work, etc.? Purpose is a the reason something exist, is done, made, or used. Procreation is a purpose, but can we say it's the only one? If so then there would be no need to help the needy or try to cure disease since we could simply find mates who are capable of procreating.
OK, here you say Purpose is the easiest thing to use as an example for your case, so I think we should stay with it. Why go with the more difficult examples?
My purpose for drinking is that if I don't I will die. The chemical processes in my body "tell" me that I need water to keep those processes going. I can override those feelings for a time, but eventually my body will either force me to drink or I will die. My "purpose" for staying alive is to a desire on the part of my body to stay alive. Without a desire to live, I'd probably die too early to procreate, since I would simply walk into the road one day without caring if a car was coming.
That desire to stay alive doesn't need to shut off the minute I have children, or if I can't.
Plus, I have a REASON to stay alive. I am a thinking animal that realizes life is precious, particularly to me.
These are various ways we can explain "purpose" under naturalism. I see no reason to invoke the supernatural.
Perhaps you can tell me why we need the supernatural to explain these things?
(I edited out the rest until we deal with the easiest example of "Purpose". I see no reason to muddy the waters with more difficult concepts until I can grasp this one.)
Thinking about God's opinions and thinking about your own opinions uses an identical thought process. - Tomas Rees