Regress argument

The regress argument (also known as the diallelus (Latin) or diallelon, from Greek di allelon "through or by means of one another") is a problem in epistemology and, in general, a problem in any situation where a statement has to be justified.

According to this argument, any proposition requires a justification. However, any justification itself requires support. This means that any proposition whatsoever can be endlessly (infinitely) questioned.

Origin

The argument is usually attributed to Sextus Empiricus, and has been restated by Agrippa as part of what has become known as "Agrippa's trilemma". The argument can be seen as a response to the suggestion in Plato's Theaetetus that knowledge is justified true belief.

Structure

Assuming that knowledge is justified true belief, then:

1. Suppose that P is some piece of knowledge. Then P is a justified true belief.
2. The only thing that can justify P is another statement – let's call it P₁; so P₁ justifies P.
3. But if P₁ is to be a satisfactory justification for P, then we must know that P₁.
4. But for P₁ to be known, it must also be a justified true belief.
5. That justification will be another statement - let's call it P₂; so P₂ justifies P₁.
6. But if P₂ is to be a satisfactory justification for P₁, then we must know that P₂ is true
7. But for P₂ to count as knowledge, it must itself be a justified true belief.
8. That justification will in turn be another statement - let's call it P₃; so P₃ justifies P₂.
9. and so on, ad infinitum.

Responses

Throughout philosophic history many responses to this problem have been generated. Here, however, we present the major counter-arguments: some statements do not need justification, the chain of reasoning loops back on itself, the sequence never finishes, belief cannot be justified as beyond doubt.

Foundationalism

Perhaps the chain begins with a belief that is justified, but which is not justified by another belief. Such beliefs are called basic beliefs. In this solution, which is called foundationalism, all beliefs are justified by basic beliefs. Foundationalism seeks to escape the regress argument by claiming that there are some beliefs for which it is improper to ask for a justification. (See also a priori.) This would be a claim that some things (basic beliefs) are true in and of themselves.

Foundationalism is the belief that a chain of justification begins with a belief that is justified, but which is not justified by another belief. Thus, a belief is justified if and only if:

1. it is a basic/foundational belief, or
2. it is justified by a basic belief
3. it is justified by a chain of beliefs that is ultimately justified by a basic belief or beliefs.

Foundationalism can be compared to a building. Ordinary individual beliefs occupy the upper stories of the building; basic, or foundational beliefs are down in the basement, in the foundation of the building, holding everything else up. In a similar way, individual beliefs, say about economics or ethics, rest on more basic beliefs, say about the nature of human beings; and those rest on still more basic beliefs, say about the mind; and in the end the entire system rests on a set of basic beliefs which are not justified by other beliefs.

Coherentism

Alternatively, the chain of reasoning may loop around on itself, forming a circle. In this case, the justification of any statement is used, perhaps after a long chain of reasoning, in justifying itself, and the argument is circular. This is a version of coherentism.

Coherentism is the belief that an idea is justified if and only if it is part of a coherent system of mutually supporting beliefs (i.e., beliefs that support each other). In effect Coherentism denies that justification can only take the form of a chain. Coherentism replaces the chain with a holistic web.

The most common objection to naïve Coherentism is that it relies on the idea that circular justification is acceptable. In this view, P ultimately supports P, begging the question. Coherentists reply that it is not just P that is supporting P, but P along with the totality of the other statements in the whole system of belief.

Coherentism accepts any belief that is part of a coherent system of beliefs. In contrast, P can cohere with P₁ and P₂ without P, P₁ or P₂ being true. Instead, Coherentists might say that it is very unlikely that the whole system would be both untrue and consistent, and that if some part of the system was untrue, it would almost certainly be inconsistent with some other part of the system.

A third objection is that some beliefs arise from experience and not from other beliefs. An example is that one is looking into a room which is totally dark. The lights turn on momentarily and one sees a white canopy bed in the room. The belief that there is a white canopy bed in this room is based entirely on experience and not on any other belief. Of course other possibilities exist, such as that the white canopy bed is entirely an illusion or that one is hallucinating, but the belief remains well-justified. Coherentists might respond that the belief which supports the belief that there is a white canopy bed in this room is that one saw the bed, however briefly. This appears to be an immediate qualifier which does not depend on other beliefs, and thus seems to prove that Coherentism is not true because beliefs can be justified by concepts other than beliefs. But others have argued that the experience of seeing the bed is indeed dependent on other beliefs, about what a bed, a canopy and so on, actually look like.

Another objection is that the rule demanding "coherence" in a system of ideas seems to be an unjustified belief.

Infinitism

Infinitism argues that the chain can go on forever. Critics argue that this means there is never adequate justification for any statement in the chain.

Skepticism

Skeptics reject the three above responses and argue that beliefs cannot be justified as beyond doubt. Note that many skeptics do not deny that things may appear in a certain way. However, such sense impressions cannot, in the skeptical view, be used to find beliefs that cannot be doubted. Also, skeptics do not deny that, for example, many laws of nature give the appearance of working or that doing certain things give the appearance of producing pleasure/pain or even that reason and logic seem to be useful tools. Skepticism is in this view valuable since it encourages continued investigation.

Synthesized approaches

Common sense

The method of common sense espoused by such philosophers as Thomas Reid and G. E. Moore points out that whenever we investigate anything at all, whenever we start thinking about some subject, we have to make assumptions. When one tries to support one's assumptions with reasons, one must make yet more assumptions. Since it is inevitable that we will make some assumptions, why not assume those things that are most obvious: the matters of common sense that no one ever seriously doubts.

"Common sense" here does not mean old adages like "Chicken soup is good for colds" but statements about the background in which our experiences occur. Examples would be "Human beings typically have two eyes, two ears, two hands, two feet", or "The world has a ground and a sky" or "Plants and animals come in a wide variety of sizes and colors" or "I am conscious and alive right now". These are all the absolutely most obvious sorts of claims that one could possibly make; and, said Reid and Moore, these are the claims that make up common sense.

This view can be seen as either a version of foundationalism, with common sense statements taking the role of basic statements, or as a version of Coherentism. In this case, commonsense statements are statements that are so crucial to keeping the account coherent that they are all but impossible to deny.

If the method of common sense is correct, then philosophers may take the principles of common sense for granted. They do not need criteria in order to judge whether a proposition is true or not. They can also take some justifications for granted, according to common sense. They can get around Sextus' problem of the criterion because there is no infinite regress or circle of reasoning, because the principles of common sense ground the entire chain of reasoning.

Critical philosophy

Another escape from the diallelus is critical philosophy, which denies that beliefs should ever be justified at all. Rather, the job of philosophers is to subject all beliefs (including beliefs about truth criteria) to criticism, attempting to discredit them rather than justifying them. Then, these philosophers say, it is rational to act on those beliefs that have best withstood criticism, whether or not they meet any specific criterion of truth. Karl Popper expanded on this idea to include a quantitative measurement he called verisimilitude, or truth-likeness. He showed that even if one could never justify a particular claim, one can compare the verisimilitude of two competing claims by criticism to judge which is superior to the other.

Pragmatism

The pragmatist philosopher William James suggests that, ultimately, everyone settles at some level of explanation based on one's personal preferences that fit the particular individual's psychological needs. People select whatever level of explanation fits their needs, and things other than logic and reason determine those needs. In The Sentiment of Rationality, James compares the philosopher, who insists on a high degree of justification, and the boor, who accepts or rejects ideals without much thought:

The philosopher's logical tranquillity is thus in essence no other than the boor's. They differ only as to the point at which each refuses to let further considerations upset the absoluteness of the data he assumes.

See also

• Epistemology
• I think, therefore I am
• Münchhausen trilemma
• Plato's Theaetetus
• Problem of the criterion