Fallibilism

Let us recap. We have discussed three problems:

  • The problem of sensations: There is no guarantee that our senses convey the exact picture of things as they really are.
  • The problem of induction: No matter how many confirming instances are observed, inductive generalizations remain fallible.
  • The problem of theory-ladenness: The results of experiments and observations are shaped by our accepted theories.

Together, these three problems suggest that synthetic propositions cannot be established beyond any reasonable doubt. Thus, we arrive at the conception of fallibilism, which holds that no synthetic proposition is infallible and, thus, empirical knowledge cannot be absolutely certain.

Figure 2.17 The problems of sensations, induction, and theory-ladenness all connect to fallibilism (Barseghyan et al./eCampusOntario) CC BY 4.0

Fallibilism is the currently accepted conception concerning the possibility of absolute empirical knowledge. However, just because science does not know everything with absolute certainty, it does not mean that it does not know anything (there are conclusions about nature that we do know to some degree of certainty). This is a common tactic used by those who oppose science and scientific evidence. This tactic of “Science doesn’t know everything” is used to promote alternative ideas, such as New Age crystal therapy and other pseudoscientific nonsense. One technique to check whether something is scientific or not is to use Popper’s (1959/2002) definition of falsifiability: falsifiability involves seeing whether a proposition could be rendered false under some testable circumstance. Sagan (1995) provides a wonderful example to illustrate this:

The Dragon in My Garage

“A fire-breathing dragon lives in my garage”

Suppose I seriously make such an assertion to you. Surely, you would want to check it out to see for yourself. There have been innumerable stories of dragons over the centuries, but no real evidence. What an opportunity!

“Show me,” you say. I lead you to my garage. You look inside and see a ladder, empty paint cans, an old tricycle—but no dragon.

“Where’s the dragon?” you ask.

“Oh, she’s right here,” I reply, waving vaguely. “I neglected to mention that she’s an invisible dragon.”

You propose spreading flour on the floor of the garage to capture the dragon’s footprints.

“Good idea,” I say, “but this dragon floats in the air.”

Then you will use an infrared sensor to detect the invisible fire.

“Good idea, but the invisible fire is also heatless.”

You will spray-paint the dragon and make her visible.

“Good idea, but she’s an incorporeal dragon and the paint won’t stick.”

And so on. I counter every physical test you propose with a special explanation of why it will not work.

Now, what is the difference between an invisible, incorporeal, floating dragon who spits heatless fire and no dragon at all? If there is no way to disprove my contention, no conceivable experiment that would count against it, what does it mean to say that my dragon exists? Your inability to invalidate my hypothesis is not at all the same thing as proving it is true. Claims that cannot be tested and assertions immune to disproof are veridically worthless, whatever value they may have in inspiring us or in exciting our sense of wonder. What I am asking you to do comes down to believing my say-so in the absence of evidence.

Fallibilism opposes the conception of infallibilism, which holds that empirical science can provide absolute knowledge (i.e., that there can be absolutely certain synthetic propositions). Roughly speaking, infallibilism was accepted until about the early 20th century. Ever since the times of Aristotle and all the way into the early 20th century, it was generally assumed that at least some parts of empirical science had been established once and for all. However, this has been shown to be wrong time and time again.

In the 19th century, August Comte formulated the idea of a hierarchy of science (Cole, 1983). His idea was that science develops over time from the most general scientific discipline (sciences that deal with observable nature, such as astronomy) to more complex systems. People started speculating about the stars and heavenly objects from the earliest of times and developed methods to predict eclipses and the weather. These developed into specifics about the nature of the physical worlds (physics) and the substances that make up the world (chemistry). In this view, biology is a more complicated chemistry and psychology is an even more complicated biology. The idea is that disciplines that are higher on this hierarchy are dependent on developments in their predecessors. We can see some evidence for that in how psychology developed in the late 19th century compared to physics, which developed much earlier. More recent developments in psychology have involved brain imaging techniques that are based on those developed within the fields of biology and physics.

This is one way of looking at the development of science. As we see in Figure 2.18, while astronomy is the basis of physics, it could also be placed at a higher level in the scientific hierarchy as it describes objects in the universe that are bigger in scale than biological or geological systems. In either sense, we should not mistake the idea of complex science as being “more difficult” or “better.” Complex, in this context, means how many phenomena need to be taken into account to understand a system. Physicists can discuss subatomic particles and molecular bonds without reference to higher level entities such as animal cells. However, a biologist needs to consider chemical bonds and the physics behind them when studying biology, while a psychologist needs to take into account the biology of the brain and nervous system.

As an introduction to science, the Scale of the Universe is mapped to the Branches of Science and the Hierarchy of Science. The Scale of the Universe capture the average diameters of key systems. The scale needs to be cubed to make volume; it takes about 60 trillion atoms to make a human cell, 100 trillion cells to make a person, and 108 billion people have lived to build modern society.The hierarchy of the sciences captures major areas of study in science. The images capture the fundamental building block for the scientific branch. Math is built up from binary logic, physics is built on atomic scale physical laws, life science is built by cellular behavior calculated through natural selection, social science is built on the human brain, and earth and space science begins with our own planetary body.
Figure 2.18 The Hierarchy of Science mapped onto Scales of the Universe. We can see the formal sciences at the lower end while the empirical sciences are further up the hierarchy. We can see astronomy placed higher up because of its scale but we also see it is more closely related to physics than to the other sciences. (Efbrazil/Wikimedia Commons) CC BY-SA 3.0 

Philosophers would debate as to how exactly there can be absolutely certain synthetic propositions and which propositions of science have or have not been established beyond any reasonable doubt. However, it was generally assumed that absolutely certain empirical knowledge is possible in one way or another. In the 18th and 19th centuries, the often-cited example of absolutely certain empirical theory was Newtonian physics. Around the time of its replacement with general relativity ca. 1920, it became clear that no empirical theory could ever be safe. This marked the transition to fallibilism. Table 2.2 will help summarize the debate between fallibilism and infallibilism.

Table 2.2 Can There Be Absolutely Certain Synthetic Propositions?
Yes No
Infallibilism Fallibilism
Synthetic propositions can be infallible. Empirical knowledge can be absolutely certain. No synthetic proposition can be infallible. Empirical knowledge cannot be absolutely certain.
👎 Problem of sensation
👎 Problem of induction
👎 Problem of theory-ladenness
👍 Problem of sensation
👍 Problem of induction
👍 Problem of theory-ladenness

The table begins with a formulation of the question at issue (the topic): can there be absolutely certain synthetic propositions? It then presents the two opposing answers to the question—the two conceptions (i.e., positions, viewpoints). Finally, the table lists the reasons (pros and cons) for and against these conceptions. The table shows that there are good reasons to accept the conception of fallibilism, which is exactly what contemporary philosophy does.

It is important to repeat that fallibilism does not suggest that we have to stop relying on our senses, making inductive generalizations, or describing our observations by means of our accepted theories. In fact, all sciences still do this and that does not impede their advancement. The point here is that because we make observations and generalizations, our synthetic propositions are inevitably fallible (i.e., they are not absolutely true).

This brings us to our answers to the two questions we formulated at the outset of the chapter.

  • Can analytic propositions be absolutely certain? Yes.
  • Can synthetic propositions be absolutely certain? No.

This outcome has serious consequences for both empirical and formal sciences. Since only analytic propositions can be absolutely true, absolute knowledge is only achievable in formal sciences, such as mathematics or logic. In contrast, absolute certainty is unachievable in empirical sciences, since empirical theories always contain synthetic propositions which, as we know, cannot be established beyond any reasonable doubt. Importantly, this is the reason why there cannot be such a thing as a proof in empirical science. Often scientists speak of having proven something in physics, biology, or even social science, but strictly speaking proof is only achievable in formal sciences; empirical sciences do not prove anything (Table 2.3).

Table 2.3 Formal vs. Empirical Science
Formal Science Empirical Science
E.g. Logic, Mathematics, Systems Theory, game Theory, information Theory E.g. Physics, Chemistry, Biology, Psychology, Sociology, Economics, Political Science
Contains only analytic propositions Contains synthetic propositions
Absolute certainty is achievable Absolute certainty is unachievable
Propositions can be demonstratively proven Propositions can only be confirmed by experience

Now, if there is no such thing as a strict proof in empirical sciences, does this mean that every empirical theory is as good as any other? Are all competing empirical theories equally good, or is there a way to compare competing theories and find out which one of them is better? It is true that all empirical theories are affected by the problems of sensations, induction, and theory-ladenness; all empirical theories without exception are fallible. Yet we still find some of these empirical theories acceptable. Such ideas are fundamental to how scientists view the world. However, how do we educate ourselves and the public at large about which ideas or theories to accept? Do we all need to become philosophers of science to be able to engage with the world of science? Obviously, this is not the case.

In the next chapter, we will discuss science and non-science in greater detail. Before we get there, let us finish this chapter with a look at a toolkit that Sagan (1995) created to check whether something is empirically supported or not.

Carl Sagan’s Baloney Detection Kit

Think of any idea in modern discourse that is being discussed. Use the following suggestions in thinking about that idea:

  1. Wherever possible there must be independent confirmation of the “facts.”
  2. Encourage substantive debate on the evidence by knowledgeable proponents of all points of view.
  3. Arguments from authority carry little weight.
  4. Develop more than one hypothesis.
  5. Try not to get overly attached to a hypothesis just because it’s yours.
  6. If there is a chain of argument, every link in the chain must work (including the premise)—not just most of them.
  7. Choose the hypothesis which requires the least number of assumptions to work.
  8. Always ask whether the hypothesis can be, at least in principle, falsified.

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