The so-called "scientific method" is, I think, rather poorly understood. For example, let us consider one of the best-known laws of nature, often simply referred to as the Law of Gravity:
Newton's Law of Universal Gravitation: Every object in the universe attracts every other object toward it with a force proportional to the product of their masses, divided by the square of the distance between their centers of mass.
Now here is a series of questions for you, which I often ask audiences when I give lectures on the philosophy of science:
- Do you believe Newton's Law of Universal Gravitation is true?
- If so, how sure are you that it is true?
- Why do you believe it, with that degree of certainty?
The most common answers to these questions are "yes", "very sure", and "because it has been extensively experimentally verified." Those answers sound reasonable to any child of the Enlightenment -- but I submit, on the contrary, that this set of answers has no objective basis whatsoever. To begin with, let us ask, how many confirming experiments do you think would have been done, to qualify as "extensive experimental verification." I would ask that you, the reader, actually pick a number as a rough, round guess.
Whatever number N you picked, I now challenge you state the rule of inference that allows you to conclude, from N uniform observations, that a given effect is always about from a given alleged cause. If you dust off your stats book and thumb through it, you will find no such rule of inference rule there. What you will find are principles that allow you to conclude from a certain number N of observations that with confidence c, the proportion of positive cases is z, where c < 1 and z < 1. But there is no finite number of observations that would justify, with any nonzero confidence, that any law held universally, without exception (that is, z can never be 1 for any finite number of observations, no matter how small the desired confidence c is, unless c = 0). . And isn't that exactly what laws of nature are supposed to do? For Pete's sake it is called the law of universal gravitation, and it begins with the universal quantifier every (both of which may have seemed pretty innocuous up until now).
Let me repeat myself for clarity: I am not saying that there is no statistical law that would allow you to conclude the law with absolute certainty; absolute certainty is not even on the table. I am saying that there is no statistical law that would justify belief in the law of universal gravitation with even one tenth of one percent of one percent confidence, based on any finite number of observations. My point is that the laws of the physical sciences -- laws like the Ideal gas laws, the laws of gravity, Ohm's law, etc. -- are not based on statistical reasoning and could never be based on statistical reasoning, if they are supposed, with any confidence whatsoever, to hold universally.
So, if the scientific method is not based on the laws of statistics, what is it based on? In fact it is based on the
Principle of Abductive Inference: Given general principle as a hypothesis, if we have tried to experimentally disprove the hypothesis, with no disconfirming experiments, then we may infer that it is likely to be true -- with confidence justified by the ingenuity and diligence that has been exercised in attempting to disprove it.
In layman's terms, if we have tried to find and/or manufacture counterexamples to a hypothesis, extensively and cleverly, and found none, then we should be surprised if we then find a counterexample by accident. That is the essence of the scientific method that underpins most of the corpus of the physical sciences. Note that it is not statistical in nature. The methods of statistics are very different, in that they rest on theorems that justify confidence in those methods, under assumptions corresponding to the premises of the theorems. There is no such theorem for the Principle of Abductive Inference -- nor will there ever be, because, in fact, for reasons I will explain below, it is a miracle that the scientific method works (if it works).
Why would it take a miracle for the scientific method to work? Remember that the confidence with which we are entitled to infer a natural law is a function of the capability and diligence we have exercised in trying to disprove it. Thus, to conclude a general law with some moderate degree of confidence (say, 75%), we must have done due diligence in trying to disprove it, to the degree necessary to justify that level confidence, given the complexity of the system under study. But what in the world entitles us to think that the source code of the universe is so neat and simple, and its human denizens so smart, that we are capable of the diligence that is due?
For an illuminating analogy, consider that software testing is a process of experimentation that is closely analogous to scientific experimentation. In the case of software testing, the hypothesis being tested -- the general law that we are attempting to disconfirm -- is that a given program satisfies its specification for all inputs. Now do you suppose that we could effectively debug Microsoft Office, or gain justified confidence in its correctness with respect to on item of its specification, by letting a weasel crawl around on the keyboard while the software is running, and observing the results? Of course not: the program is far too complex, its behavior too nuanced, and the weasel too dimwitted (no offense to weasels) for that. Now, do you expect the source code of the Universe itself to be simpler and friendlier to the human brain than the source code of MS Office is to the brain of a weasel? That would be a miraculous thing to expect, for the following reason: a priori, if the complexity of that source code could be arbitrarily large. It could be a googleplex lines of spaghetti code -- and that would be a infinitesimally small level of complexity, given the realm of possible complexities -- namely the right-hand side of the number line.
In this light, if the human brain is better equipped to discover the laws of nature than a weasel is to confidently establish the correctness an item in the spec of MS Office, it would be a stunning coincidence. That is looking at it from the side of the a priori expected complexity of the problem, compared to any finite being's ability to solve it. But there is another side to look from, which is the side of the distribution of intelligence levels of the potential problem-solvers themselves. Obviously, a paramecium, for example, is not equipped to discover the laws of physics. Nor is an octopus, nor a turtle, nor a panther, nor an orangutan. In the spectrum of natural intelligences we know of, it just so happens that there is exactly one kind of creature that just barely has the capacity to uncover the laws of nature. It is as if some cosmic Dungeon Master was optimizing the problem from both sides, by making the source code of the universe just simple enough that the smartest beings within it (that we know of) were just barely capable of solving the puzzle. That is just the goldilocks situation that good DM's try to achieve with their puzzles: not so hard they can't be solved, not so easy that the players can't take pride in solving them
There is a salient counterargument I must respond to. It might be argued that, while it is a priori unlikely that any finite being would be capable of profitably employing the scientific method in a randomly constructed universe, it might be claimed that in hindsight of the scientific method having worked for us in this particular universe, we are now entitled, a posteriori, to embrace the Principle of Abductive Inference as a reliable method. My response is that we have no objective reason whatsoever to believe the scientific method has worked in hindsight -- at least not for the purpose of discovering universal laws of nature! I will grant that we have had pretty good luck with science-based engineering in the tiny little spec of the universe observable to us. I will even grant that this justifies the continued use of engineering for practical purposes with relative confidence -- under the laws of statistics, so long as, say, one anomaly per hundred thousand hours of use is an acceptable risk. But this gives no objective reason whatsoever (again under the laws of statistics) to believe that any of the alleged "laws of nature" we talk about is actually a universal law. That is to say, if you believe, with even one percent confidence, that we ever have, or ever will, uncover a single line of the source code of the universe -- a single law of Nature that holds without exception -- then you, my friend, believe in miracles. There is no reason to expect the scientific method to work, and good reason to expect it not to work -- unless human mind was designed to be able to uncover and understand the laws of nature, by Someone who knew exactly how complex they are.
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Notes -
This is a reply jointly to several comments so I will put it as a new semi-top level post. Several of the responses, including such as (what I consider) the most thoughtful ones of @sqeecoo and @Gillitrut, point in the direction that the mission of science is not to discover natural laws that are literally true, but to produce useful fictions -- stories about the world that we are better off believing and acting on. That position, if you really believe it, is immune from my argument. But if you take that position, and at the same time embrace the study of science, then you cannot, at the same time, argue against theism on the grounds that it is literally false.
I'd like to hear more about why we can't argue in that direction. Is this like a hypocrisy claim? That since science isn't literally true it would be hypocritical to criticize theism for not being literally true? Or is this more that the acknowledged limits of scientific inquiry do not permit disproving theism?
I am content with believing that the particular empirical claims theists make seem to all have non-theistic explanations. If there is some causally inert god or gods out there, who do not interact with our reality in an empirically testable way, I am not that concerned with their existence.
Yes, that's what I'm saying.
God's pronouns are He/Him. (For the sarcasm-impaired, that's a joke)
Okay well in that case it's also hypocritical to criticize Cthulhu and Star Wars lore for not being literally true. Hooray, solipsism. This entire line of argument advances absolutely nothing.
It essentially amounts to a theist's special request for their beliefs to be treated as intellectually serious even though they can't point to any justification for them that exists outside of their own skull, because hey after all, nothing is really certain, right?
Bluntly, request denied until one of these arguments successfully and meaningfully distinguishes Christianity, theism, whatever, from an infinite number of bullshit things I could make up on the spot.
I have lurked this group since long before it had a site or even a name, and throughout the years, I have almost never commented. So I apologize for being critical of someone like yourself who actually does post and contribute, as that is a bit hypocritical of me.
I think you are pattern-matching OP as a member of your outgroup — that is to say, a theist — then skipping past his argument about the inferential basis of the scientific method to attack him because his post appears to give aid and comfort to the enemy.
I am familiar with some physics, some math, and some epistemology — not enough to be an expert, but enough to where I think OP’s argument is reasonably well-defined and not equivalent to extreme skepticism about everything. I can’t find a clear basis to dismiss OP’s argument (at least as to the inferential limitations of science) as bullshit. (I don’t think OP has established at all the truth of theism or anything like that, but he only appears to make a single terse allusion to it at the end of his argument, and perhaps was using it rhetorically as bait.)
As someone whose intuition is that we do have objective evidence for scientific laws, I’ve been hoping that some mathematician or philosopher would eventually pop in here and formally demolish OP’s argument in a direction pleasing to my sensibilities, and I subscribed to the thread to wait for that to happen, but it hasn’t happened yet. @self_made_human, who will often deliver an incisive and sometimes brutal presentation of the traditional rationalist materialist viewpoint, appears to have lost interest. And of the two posters in this thread, @sqeecoo and @IGI-111, who appear most literate in the epistemology of science (or at least, more literate than me), neither has outright dismissed OP’s major premises as nonsensical or solipsistic, and it appears that I will have to read some Popper if I want to get to the bottom of it for myself.
My questions for you, or anyone, are:
(1) What is the first premise or step in OP’s argument that is clearly unreasonable / irrational?
(2) Is OP’s “principle of abductive inference” truly the inferential basis of the scientific method, and if not, what is, and how does it work?
(3) Is it impossible to infer universal physical laws with greater than 0% confidence, as OP claims?
(4) For OP: you suggest downthread that we should be inclined to trust models like Newtonian or Einsteinian physics. Why should we trust them (if we cannot infer universal physical laws with nonzero confidence) and how much should we trust them?
We should trust them for two reasons. First, we do not need nonzero confidence in full generality to trust them for practical purposes. Being 99% sure the technology works 99% of the time is good enough -- or something like that, depending on the application. Second, I didn't say we cannot infer universal physical laws with nonzero confidence, just that we can't do it without believing in one more miracle, viz. that we are blessed with just enough intelligence, and a simple enough universe, that abductive reasoning is reliable (on top of the miracle that certain equations are physically instantiated in the form of a physical systems and consciousness, that this system continues persistently to be governed by those laws, that the parameters of those laws fall into the narrow range required for stars to form, etc.).
That depends on how many miracles you believe.
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