This short paper provides an explanation of Hume's problem of induction.

This chapter contains sections titled: Hume's Problem of Induction Hume's Negative Argument concerning Induction.

The problem of induction is sometimes motivated via a comparison between rules of induction and rules of deduction. Valid deductive rules are necessarily truth preserving, while inductive rules are not.

Even though evidence underdetermines theory, often in science one theory only is regarded as acceptable in the light of the evidence. This suggests there are additional unacknowledged assumptions which constrain what theories are to be accepted. In the case of physics, these additional assumptions are metaphysical theses concerning the comprehensibility and knowability of the universe. Rigour demands that these implicit assumptions be made explicit within science, so that they can be critically assessed and, we may hope improved. This leads to (...) a new conception of science, one which we need to adopt in order to solve the problem of induction. (shrink)

This essay presents a point of view for looking at `free will', with the purpose of interpreting where exactly the freedom lies. For, freedom is what we mean by it. It compares the exercise of free will with the making of inferences, which usually is predominantly inductive in nature. The making of inference and the exercise of free will, both draw upon psychological resources that define our ‘selves’. I examine the constitution of the self of an individual, especially the involvement (...) of personal beliefs, personal memories, affects, emotions, and the hugely important psychological value-system, all of which distinguish the self of one individual from that of another. The foundational position that adopted in this essay is that all psychological processes are correlated with corresponding ones involving large scale neural aggregates in the brain, communicating with one another through wavelike modes of excitation and de-excitation. Of central relevance is the value-network around which the affect system is organized, the latter, in turn, being the axis around which is assembled the self, with all its emotional correlates. The self is a complex system. I include a brief outline of what complexity consists of. In reality all systems are complex, for complexity is ubiquitous, and certain parts of nature appear to us to be ‘simple’ only in certain specific contexts. It is in this background that the issue of determinism is viewed in this essay. Instead of looking at determinism as a grand principle entrenched in nature independent of our interpretation of it, I look at our ability to explain and to predict events and phenomena around us, which is made possible by the existence of causal links running in a complex course that set up correlations between diverse parts of nature, in this way putting the stamp of necessity on these events. However, the complexity of systems limits our ability to explain and to predict to within certain horizons defined by contexts. Our ability to explain and predict in matters relating to acts of free will is similarly limited by the operations of the self that remain hidden from our own awareness. The aspects of necessity and determinism appear to us in the form of reason and rationality that explain and predict only within a limited horizon, while the rest depends on the complex operation of self-linked psychological resources, where the latter appear as contingent in the context of the exercise of free will. The hallmark of complex systems is the existence of amplifying factors that operate as destabilizing ones, along with inhibiting or stabilizing factors as well that generally limit the destabilizing influences to local occurrences, while preserving the global integrity of a system. This complex interplay of destabilizing and stabilizing influences lead to the possibility of an enormous number of distinct modes of behavior that appear as emergent phenomena in complex systems. Looking at the particular case of the self of an individual that guide her actions and thoughts, it is the operation of our emotions, built around the psychological value-system, that provide for the amplifying and inhibiting factors mentioned above. The operation of these self-linked factors stamps our actions and thoughts as contingent ones that do not fit with our concepts of reason and rationality. And this is what provides the basis of our idea of free will. Free will is not ‘free’ in virtue of exemption from causal links running through all our self-based processes - ones that remain hidden from our awareness, but is free of what is perceived to be ‘reason and rationality’ based on knowledge and the common pool of beliefs and principles associated with a shared world-view. When we speak of the choice involved in an act of exercise of free will what we actually refer to is the commonly observed fact that various different individuals of a similar disposition respond differently when placed under similar circumstances. In other words, free will is ‘free’ precisely because it is not subject to constraints of a commonly accepted and shared set of principles, beliefs, and values. While it is possible that, in an exercise of free will, the self-linked psychological resources are brought into action when a number of alternatives are presented to the self by the operation of the ingredients of a commonly shared world-view, it seems likely that, that set of alternatives is not of primary relevance in the final response that the mind produces, since the latter is primarily a product of the operation of the self-based psychological resources. What is of greater relevance here is the operation of emotion-driven processes, guided by the psychological value-system based on the activity of the so-called reward-punishment network in the brain. These processes lead the individual to a response that appears to be free from the shackles of determinism precisely because their mechanisms, which are hidden from us, do not conform to commonly accepted and shared rules and principles. In contrast, inductive inference is a process that is based on the ‘cognitive face’ of self, where the self-based psychological resources play a supportive role to the commonly shared world-view of an individual. There is never any freedom from the all-pervading causal links representing correlations among all objects, entities, and events in nature. In the midst of all this, the closest thing to freedom that we can have in our life comes with self-examination and self-improvement. The possibility of self-examination appears in the form of specific conjunctions between our complex self-processes and the ceaseless changes of scenario in our external world. This actually makes the emergent phenomenon of self-examination a matter of chance, but one that keeps on appearing again and again in our life. Once realized, self examination creates possibilities that would not be there in the absence of it, and these possibilities include the enhancement of further self-enrichment and further diversity in the exercise of our free will. (shrink)

필자는 본 논문에서 귀납의 문제와 관련하여 흄이 『인성론』 1권에서 이성을 통하여서는 이를 정당화 할 수 없다고 주장한 것으로 해석하는 기존의 회의주의적 해석을 비판적으로 검토한다. 필자의 견해에 따르면, 흄이 『인성론』 1권에서 비판의 대상으로 삼고 있는 것은 인과 추론의 정당성 문제 그 자체가 아니라, 무비판적으로 받아들여져 온 무오류적 이성 개념이다. 흄은 이 무오류적 이성 개념을 부정하고, 이성을 넓은 의미에서의 상상력 아래로 포섭 시킨 후, 그 안에서 무작위로 작동하는 좁은 의미에서의 상상력과 개연성의 논리에 따라 작동하는 이성을 구분함으로써, 인과 추론을 정당화하는 새로운 길을 열고 (...) 있다. 따라서, 흄은 『인성론』 1권에서 인과 추론의 정당성을 부정하고 더 나아가 총체적 회의주의로 빠져드는 것이 아니라, 이성 개념을 새롭게 정립함으로써 오히려 총체적 회의 주의로 빠지지 않고 새로운 방식으로 인과 추론의 정당성을 확보하는 시도를 하고 있는 것이다. 이와 같은 필자의 해석은 『인성론』 1권과 『인성론』 2권, 3권을 단절적으로 해석하지 않고, 오히려 『인성론』 1권에서의 논의가 『인성론』 2권과 3권의 초석이 되어줌을 잘 드러내 보여준다. 다시 말해, 흄이 『인성론』 1권에서 주장하는 바, “우리의 감각들을 넘어서서 추적될 수 있고, 우리가 볼 수 없고 느낄 수 없는 존재들과 대상들을 우리들에게 알려주는 유일한 것은 인과이다”라고 하는 흄의 언명이 『인성론』 2권과 3권에서의 대상 세계에 대한 논의의 출발점이 되어주는 것이다. -/- This paper argues against the common interpretation that, in Book I of the Treatise, Hume attempts to show that inductive arguments concerning matters of fact cannot be justified by reason. It is true that he argues that inductive arguments cannot be justified by the traditional concept of infallible reason. However, it is important to note that contra to the traditional understanding of reason as infallible, he takes it to be open to errors by classifying it under the category of imagination in a broad sense. He then makes a distinction between reason as “the general and more establish’d properties of the imagination” and imagination as a narrow sense. From this, the paper concludes he attempts to justify inductive arguments concerning matters of fact by redefining reason as open to errors. That is, although inductive arguments cannot be justified by probable reasoning in terms of the traditional concept of infallible reason, the former can be justified by the logic of probability, which he calls “general rules” in terms of Hume’s concept of error-prone reason. (shrink)

The problem of induction is formulated as a set of three questions, namely: ‘What is the nature of the attitude of acceptance that we adopt in relation to certain theories?’ ‘What are the rules according to which we select those theories which we accept?’ and, ‘What is the justification for the adoption of those rules?’. An original answer is proposed for each question in turn, with the help of the new concepts of sub-theory, established sub-theory, aberrant, arbitrary and (...) degenerate theories. The answer to the third question follows the lines of Reichenbach's pragmatic strategy. (shrink)

In this paper Beebee argues that the problem of induction, which she describes as a genuine sceptical problem, is the same for Humeans than for Necessitarians. Neither scientific essentialists nor Armstrong can solve the problem of induction by appealing to IBE, for both arguments take an illicit inductive step.

No one doubts that philosophers have discussed at length ‘the problem of induction’, but it would also be generally recognized that there would be disagreement as to precisely what that problem is. Rather than tackle the formulation problem, I will borrow from a popular text: Our existence as well as science itself is based on the principle of induction that tells us to reason from past frequencies to future likelihoods, from the limited known of the (...) past and present to the unknown of the past, present, and future ... But though inductive probability is psychologically inescapable, we have trouble providing a rational justification for it. We might say, then, that there is such a practice as induction, and a problem associated with it is that of justifying engaging in it. We engage in reasoning from things we know about the past and present to conclusions about the past, present and future. We can't resist doing this but we have trouble finding a rational justification for doing so. This problem suggests a generalization. We engage in reasoning, reaching new conclusions. It would be hard to resist engaging in this practice. How do we provide a rational justification for it? (shrink)

SummaryIn this paper, two different theoretical problems of induction are delineated. The first problem is addressed; the second problem is deferred to the sequel to this paper. The first problem of induction is taken to be the seemingly unformalizable nature of traditional inductive arguments. It is shown that the problem does not arise out of some particularly dubious argument form , but rather from the presupposition that inductive “logic” is, like deductive logic, assertoric. Rather (...) , inductive logic is dialectical in nature.RésuméDans cet article, deux problèmes théoriques de l'induction sont formulés. Le premier est traité, le second le sera dans une suite à cet article. Le premier problème de l'induction est ici la nature apparemment non formalisable des arguments inductifs traditionnels. L'auteur montre que le problème ne provient pas d'une forme d'argumentation particulièrement douteuse , mais au contraire de la présupposition que la «logique» inductive est, comme la logique déductive, assertorique. Il soutient au contraire qu'elle est par nature dialectique.ZusammenfassungIn der vorliegenden Arbeit werden zwei theoretische Probleme der Induktion formuliert, wovon das zweite in einem anderen Artikel behandelt werden soll. Das erste Problem betrifft die scheinbar nicht formalisierbare Natur der üblichen induktiven Argumente. Der Verfasser zeigt dass das Problem nicht von einer besonders zweifelhaften Argumentationsform herrührt , sondern von der Voraussetzung, dass die induktive «Logik» — wie die deduktive Logik — assertorisch sei. Es wird dagegen gezeigt, dass die induktive Logik dialektischer Natur ist. (shrink)

In this paper I distinguish two problems of induction: a problem of the uniformity of nature and a problem of the variety of nature. I argue that the traditional problem of induction that Popper poses—the problem of uniformity—is not that which is relevant to science. The problem relevant to science is that of the variety of nature. *I would like to thank Bob Hale, Russell Keat and the Journal's referee for their comments on (...) earlier drafts of this paper. (shrink)

It would be difficult to overestimate the influence Hume’s problem of induction exercises on contemporary epistemology. At the same time, the problem of induction has not perceptibly slowed the progress of mathematics and science. This ironic state of affairs, immortalized by C. D. Broad’s description of induction as “the glory of science” and “the scandal of philosophy,” ought in all fairness to give both sides some pause. And on occasion, it does: the mathematicians stop to (...) concede that Hume has not yet been answered, the scientists worry about randomization of experiments, and inductive skeptics stir uneasily in their chairs at the mention of certain mathematical theorems that seem palpably to have bearing on the problem. (shrink)

I begin by making some distinctions between kinds of response to a skeptical claim, the purpose of which is to explain what I mean by a "dissolution" of the problem of induction, and to focus on one of the ways it can be implemented. I then argue that previous attempts to dissolve the problem in this way fail, present mine, and defend it. Finally, I show that the dissolution of the problem doesn't improve our normative situation (...) and may even worsen it. (shrink)

To solve the problem of induction we had first better know what it is. Some ways of formulating the worry about induction are underwhelming as they depend on assumptions that don’t survive much scrutiny. Perhaps the most disturbing argument for inductive skepticism appeals to the claim that we could not possibly be justified in taking our inductive methods to be reliable independently of our use of those methods. And the use of inductive methods cannot give us justification (...) to suppose that they are reliable. I argue for a new way to escape the first horn of this dilemma. (shrink)

Watkins proposes a neo-Popperian solution to the pragmatic problem of induction. He asserts that evidence can be used non-inductively to prefer the principle that corroboration is more successful over all human history than that, say, counter-corroboration is more successful either over this same period or in the future. Watkins's argument for rejecting the first counter-corroborationist alternative is beside the point. However, as whatever is the best strategy over all human history is irrelevant to the pragmatic problem of (...) induction since we are not required to act in the past, and his argument for rejecting the second presupposes induction. (shrink)

In 1955, Goodman set out to ‘dissolve’ the problem of induction, that is, to argue that the old problem of induction is a mere pseudo‐problem not worthy of serious philosophical attention. This dissolution, which has enjoyed tremendous acceptance, essentially involved an application of what has since been called the method of reflective equilibrium. Largely in connection with naturalism in epistemology, the reflective equilibrium method has lately been the subject of considerable attention. I will argue that, (...) under naturalistic views of the reflective equilibrium method, it cannot provide a basis for a dissolution of the problem of induction. This is because naturalized reflective equilibrium is – in a way to be explained – itself an inductive method, and thus renders Goodman's dissolution viciously circular. This paper, then, examines how the old problem of induction crept back in while nobody was looking. (shrink)

'The most thorough and scrupulous of contemporary students of induction' (the execrable Quinton 1993, p. 172).

In 1955, Goodman set out to 'dissolve' the problem of induction, that is, to argue that the old problem of induction is a mere pseudoproblem not worthy of serious philosophical attention. I will argue that, under naturalistic views of the reflective equilibrium method, it cannot provide a basis for a dissolution of the problem of induction. This is because naturalized reflective equilibrium is -- in a way to be explained -- itself an inductive method, (...) and thus renders Goodman's dissolution viciously circular. This paper, then, examines how the old problem of induction crept back in while nobody was looking. (shrink)

In a formal theory of induction, inductive inferences are licensed by universal schemas. In a material theory of induction, inductive inferences are licensed by facts. With this change in the conception of the nature of induction, I argue that the celebrated “problem of induction” can no longer be set up and is thereby dissolved. Attempts to recreate the problem in the material theory of induction fail. They require relations of inductive support to conform (...) to an unsustainable, hierarchical empiricism. (shrink)