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I've heard several people state that:

Atheism is the null hypothesis. ie that this null hypothesis can be falsified: if one piece of evidence is found to contradict it, the existence is considered proven.

This is the basic mechanism of science itself. One famous example is the old hypothesis that only white swans existed. The null hypothesis then was 'there are no non-white swans', something that can be falsified. When in Australia black swans were found, the null hypothesis was rejected. That is the mechanism of the null hypothesis.

This seemed strange to me from an application point of view. (I'm fine with the swans and the idea of the null hypothesis).

To me science is bound by the limits of repeatable human observation. Can something exist that we cannot observe repeatably? I would say yes.

To me the existence of God is metaphysical, ie it exists outside the realm of human measurement. (If you're a goldfish in a bowl inside, you're not in a position to make observations about astronomy or the biological structure of an ant's nest. These are outside your realm.)

In addition, from my epistemological view - there are categories of things we hold true that are outside the realm of repeatable scientific measurement. Did Julius Caesar walk on the earth? Lots of people wrote down about it, so we agree it is true - but we can't repeatably prove his existence. We hold it as a historical truth, but not a scientific one.

My question is: Is the claim that atheism is the null hypothesis invalid because it applies a physical measurement to the metaphysical?

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  • You can not get out of it so easily. If there is no interaction whatsoever between the fish's bowl and the ant's nest then speculations about the latter are gratuitous, i.e. a waste of time. If there is such interaction then the fish is in a position to "measure" it, however indirectly. With you absolute separation of realms the only options you are offering God are to be non-existent or an idle speculation. And science is not bound by strict repeatability, such a thing is a fiction anyway, if the same God is supposed to keep interacting with us that in principle is repeatability enough.
    – Conifold
    Commented Apr 2, 2016 at 0:23
  • Could you expand on science not being bound by strict repeatability? (I get it for Geology - but not other sciences). Re the fishbowl - what if it were an enclosed self-sustaining ecosystem where there is no obligation for interaction (daily feeding) simply the opportunity? There are interactions, but not ones you can make predictions about.
    – hawkeye
    Commented Apr 2, 2016 at 0:30
  • Science splits chunks of phenomena into ever deeper seated pieces lurking behind appearances, exact combinations of which may never repeat. If God were one of such pieces he would be within its range. My point is that metaphysics that makes God both unknowable and relevant is extremely tricky. I do not see how changing obligation to opportunity affects anything, either the opportunity is explored or it is not, in which case we still have idle speculation. And science can look for explanations without predictions, e.g. in biology or psychology, it is not all mathematical physics.
    – Conifold
    Commented Apr 2, 2016 at 0:47
  • Fair enough - my point is that scientific truth excludes historic claims. Can something be historically true but excluded from science?
    – hawkeye
    Commented Apr 2, 2016 at 1:32
  • The past matters to the extent that it still affects us, and I see no essential difference there between geology, paleontology and history as a social science. God matters to that same extent. Scientists would readily concede existence of unkonowable truths about the past, or that transcendent God is not ruled out by science, but neither are ancient aliens, parallel worlds, astral cords or the fount of youth. Few believers are content to keep him in that company. So theologians came to postulate access channels that science can not tap, like intellectual intuition or mystic revelation.
    – Conifold
    Commented Apr 2, 2016 at 20:47

4 Answers 4

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Considering atheism the null-hypothesis seems a nice metaphor, but not a serious characteristics. One can raise the following objections:

  • In statistics the null-hypothesis is generally assumed to be true. And one looks for a test which contradicts this assumption. But theists would declare just the opposite assumption as null-hypothesis.

  • Operating with a null-hypothesis H_0 and an alternative hypothesis H_1 presupposes that there are many cases and one is able to collect representative samples. These requirements are not fullfilled in the case of atheism versus theism.

  • Until today no test exists, which has found consensus from both fractions, to decide between atheism and theism.

Note. A mathematical model from history which has a certain relatedness to the statistical model from your question is Pascal's Wager.

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Atheism is the null hypothesis. ie that this null hypothesis can be falsified: if one piece of evidence is found to contradict it, the existence is considered proven.

This is a bit of a straw man argument. Every logical argument meets this requirement: the existence of a contradiction shows the argument to be invalid. By this definition, "God exists" could also be a null hypothesis, because if one piece of evidence is found to contradict that, the existence is considered disproven.

The real distinction between the null hypothesis and the alternative hypothesis is that the null hypothesis is assumed true until rejected due to contradictory data. If the null hypothesis is rejected, and the alternative hypothesis is not, the alternative hypothesis can become the next accepted theory, which becomes the null hypothesis for future tests. It's sort of a "king of the hill" approach, with the current champion serving as the null hypothesis taking on challengers.

A more valid reason for atheism to be the null hypothesis is due to the nature of trying to prove a negative. It is relatively easy to develop scientific experiments to prove something exists, simply by finding it. We "prove" gravity waves exist by finding one and measuring it (well, finding several and measuring them all). Proving a negative is far harder. If we've never seen an Oompa Loompa, how can we prove they don't exist on some distant exo-planet we've never seen? Accordingly, it is generally considered unacceptable to demand science prove a negative universally (it is valid to ask science to prove a negative in a bounded case, such as "people don't get injured when you put fences around the crocodile pit"). Scientists will reject demands for science to make such proofs.

An example of this occurring is in the Eastern concept of Chi. The philosophers and martial artists who claim Chi exists have not had their claims substantiated by science. However, science can never disprove the existence of Chi, only prove that "in this controlled scenario involving this particular type of punch where the master claims Chi should matter, there was no discernible difference caused by Chi."

This is where the scientific approach gets interesting. What happens if there are two separate hills, each with their own king? Each naturally wants to be king of the combined hill, but their approaches may not agree. In the case of theism, if one starts from the assumption that "God exists," that is the king of your hill. If another starts from the assumption that "God does not exist," that is the king of their hill. They cannot develop a scientific challenge to your claim, because such a claim would have to prove a negative. You, on the other hand, can make a scientific challenge to their claim, by disproving their claim. This calls for you to prove a positive claim, because you have to prove that something exists that cannot exist if God does not exist.

This is why Atheism is best suited for the null hypothesis, rather than theism. The evidence which can be found to contradict it is more accessible to scientific inquiry, so a purely scientific process is forced to approach the problem from that particular point of view. If one uses a process which is not purely scientific, it may be reasonable to approach it from the other direction, with theism being the null hypothesis.

Now as to your question, Metaphysical issues cannot be the null hypothesis in scientific inquiry because science is an empirical approach which can only explore the world which can be explored empirically. You could find another reason to use the notation of "null hypothesis" and "alternative hypothesis," but science explicitly uses these for exploring hypothesis which provide empirical forms of verification.

However, it is worth noting that science does not prove anything unless you choose to admit their proofs. Science merely rejects all simpler models until it arrives at one that it has not rejected. That model becomes "king of the hill" until new evidence comes along to dethrone it. One may choose to accept the current "king of the hill" as truth, through a epistemological process called abduction, but that's up to one's own discretion.

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  • A well crafted response.
    – Neil Meyer
    Commented Apr 1, 2016 at 18:56
  • Since god is supposed to be almighty, she can easily create a proof that he doesn’t exist, and still exist. So a proof of non-existence proved nothing.
    – gnasher729
    Commented Jun 28, 2020 at 19:38
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    @gnasher729 Actually, there's some fun variants of that which occur in mathematical constructs. Dan Willard explored mathematical proof systems where multiplication was not total. One of the funny things that came of it was that you could create a set which is probably countably infinite outside of his system (using standard set theory), but which, when constructed inside one of his self-verifying systems, was provably uncountably infinite. Perhaps a parlor trick at best, but your comment reminded me of it!
    – Cort Ammon
    Commented Jun 28, 2020 at 22:38
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I've heard the counter-claim that atheism can't be the null hypothesis because agnosticism is the null hypothesis.

I often find using a Bayesian framework more intuitive, and the equivalent to the "null hypothesis" in a Bayesian framework is having a weak prior, i.e., a state of ignorance.

If you buy that, then agnosticism is the appropriate null hypothesis in the theism vs. atheism debate, since it is, by definition, a claim to not know.

I think the Bayesian approach is more useful in this scenario because:

  1. Speaking in terms of a prior makes more explicit that it is one person's bias in the argument (which is actually what's happening)
  2. It is as expressive as speaking in terms of a null hypothesis (the selection of a "null hypothesis" corresponds to one's priors).
  3. There are in reality degrees of not knowing that null hypothesis testing doesn't account for well.
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  • #3 is very important. In particular it is an important bit of self-awareness to realize that even starting with a framework of "using a null hypothesis" (i.e. asking the original question) already presumes that it is a "correct" or "true" framework for the current inquiry. Babies, for instance, do not use such a framework in their "inquiries".
    – Jeff Y
    Commented Apr 1, 2016 at 18:46
  • @James Kingsbery Also the Bayesian approach operates in the domain of stochastics. But concerning the theism-atheism issue we do not have a manifold of cases which allows to argue by using probabilities.
    – Jo Wehler
    Commented Apr 1, 2016 at 21:04
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"To me the existence of God is metaphysical, ie it exists outside the realm of human measurement."

Not really. It is quite possible that scientists observe events that contradict know laws of physics. And if god exists and decides to provide such an event then scientists can’t force him to repeat it. “Observable” would be needed, not “repeatability”.

So the problem is just: Do we trust a measurement? Were we prepared to take the measurement? Do we trust the people claiming the measurement?

If the “impossible” event is big enough, then a measurement can be trusted. For example, if god decides that all dead people come out of their graves for a day and visit their relatives, that would be evidence even if never repeated. If I spend the last pound in my wallet and god puts another pound in, that would be very little evidence.

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