Humean learning (how to learn)
Philosophical Studies
https://doi.org/10.1007/s11098-023-02086-3
Humean learning (how to learn)
Jeffrey A. Barrett1
Accepted: 18 November 2023
© The Author(s) 2023
Abstract
David Hume’s skeptical solution to the problem of induction was grounded in his
belief that we learn by means of custom . We consider here how a form of reinforcement learning like custom may allow an agent to learn how to learn in other ways as
well. Specifically, an agent may learn by simple reinforcement to adopt new forms
of learning that work better than simple reinforcement in the context of specific
tasks . We will consider how such a bootstrapping process may lead to a system that
includes trial-and-error forms of learning like win-stay/lose-shift, probe and adjust,
and simple reinforcement itself together with higher-rationality inferential tools.
Keywords Humean learning · The problem of induction · Hume’s skeptical
solution · Learning how to learn · Pragmatism
1 Introduction
David Hume was skeptical regarding our ability to rationally justify beliefs concerning matters of fact, but he held that we nevertheless routinely learn matters of fact
by means of custom. This sort of instinctive learning might be understood as a form
of reinforcement where an agent’s dispositions to act are strengthened on success
and perhaps weakened on failure in action. While Hume was right to suppose that
humans, like other animals, very often learn by means of reinforcement, we also
learn in other ways.
We consider here how an agent may be led by simple reinforcement to adopt new
forms of inductive learning. By such means she may evolve a learning system that
includes trial-and-error forms of learning like win-stay/lose-shift, probe and adjust,
and simple reinforcement itself together with higher-rationality inferential tools.1
1
See Erev, I., Roth, A. E. (1996), Fudenberg and Levine (1998), Erev and Roth (1998), Bereby-Meyer and
Erev (1998), Barrett and Zollman (2009), Skyrms (2010), Huttegger (2017), Cochran and Barrett (2021,
* Jeffrey A. Barrett
1
University of California Irvine, Irvine, USA
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J. A. Barrett
While simple reinforcement may lead an agent to adopt forms of learning that
are more sophisticated or better-suited to the inferential tasks she faces, there is no
magic. Even when she is led to adopt a learning rule that has been highly reliable
for a particular purpose, it may fail to work well in the future.2 That said, simple
reinforcement provides a reliable way of tracking which learning rules have worked
well, and insofar as reinforcement on success is in fact psychologically efficacious
in tuning our dispositions, this will lead one to evolve more sophisticated forms of
learning regardless of whether one is rationally justified in doing so. This will serve
the agent well in future action should those rules continue to work.
2 Humean learning
Hume believed that we can never have rational justification for our expectations or
beliefs regarding matters of fact.3 While one may observe that an event of type A
has always been followed by an event of type B, constant conjunction fails to entail
any necessary connection. No sequence of past conjunctions, no matter how extensive, provides any reason whatsoever for concluding even that the occurrence of A
makes the occurrence of B more likely. To get something like this, one would need
to assume that what has happened in the past is a reliable guide to what will happen in the future, but such an assumption begs the question. Even if the past has in
some ways been a reliable guide to the future in the past, it need not be in the future.
As a result, our experience provides no ultimate justification for any beliefs at all
regarding future events. And since the same line of argument applies to conclusions
regarding causal relations generally, only by means of which Hume argued can one
learn matters of fact, one can have no ultimate justification for believing any matter
of fact (1975, 25–39).
This poses an immediate problem for rational action. Inasmuch as one cannot
infer anything concerning the future from the past, Hume held that one can never
have any rational justification for acting one way rather than another. That said, there
is an important sense in which he was not at all skeptical regarding the expected
efficacy of his actions or his judgments regarding matters of fact more generally.
Understanding the position requires some care.
Footnote 1 (continued)
2022), Barrett and Gabriel (2022), and Barrett (2023) for descriptions and discussions of a great many
alternative forms of learning. Each has potential virtues and vices depending on the learning problem at
hand and the resources available to the learner. See Barrett (2023) for an extended discussion of learning
how to learn and reflections on how various basic and task-specific forms of learning might self-assemble.
2
In this regard, note that any particular learning algorithm R, no matter how subtle or sophisticated
it may be, may routinely fail to provide successful predictions. Consider a world where whenever one
learns by R to expect E on the basis of one’s evidence so far ¬E occurs. See Putnam (1963) for a more
elaborate version of this argument.
3
He argued for this in both A Treatise of Human Nature (1739–40) and An Enquiry Concerning Human
Understanding (1748). Here we will follow the argument of the latter. Regarding learning, we follow his
natural propensity account grounded in custom.
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Humean learning (how to learn)
Hume explicitly recognized that he, like everyone else, was in fact firmly committed to a rich collection of beliefs regarding future events and matters of fact. Further, he found that he remained committed to these beliefs even when he knew that
he possessed no ultimate justification for believing them. As a result, he was perfectly comfortable using beliefs that he had formed in the context of experience to
guide even his most important actions (1975, 42).
Hume held that beliefs regarding matters of fact, and expectations regarding the
future in particular, were produced from experience by means of custom or habit.
Custom, in the sense in which he used the term, is a principle of our psychological
nature that acts to produce and adjust propensities when presented with experience.
Hume explained that “wherever the repetition of any particular act or operation produces a propensity to renew the same act or operation, without being impelled by
any reasoning or process of the understanding ... this propensity is the effect of Custom” (1975, 43). In other words, we learn just as animals do who “by the proper
application of rewards and punishments, may be taught any course of action.” The
upshot is that, rather than being an activity grounded in reason, the ability to engage
in empirical inquiry is one that “we possess in common with beasts” and “is nothing
but a species of instinct or mechanical power, that acts in us unknown to ours (...truncated)