Inductive Skepticism

Many philosophers have wrongly assumed that there is an asymmetry between the problem of induction and the logocentric predicament (the justification of deductive inferences). This paper will show that the demand for justification, for the very inferences that are required for justification, is deeply problematic. Using a Wittgensteinian approach, I will argue that justification has an internal relation with deductive and inductive inferences. For Wittgenstein, two concepts are internally related if my understanding of one is predicated on my understanding of (...) the other. Separating the two concepts so that one can be applied to the other is then a misunderstanding of role that these concepts play. (shrink)

I give a critical overview of the volume, focusing my attention on the chapters that deal with the explanationist response to skepticism.

A philosopher once wrote the following words:If I examine the PTOLOMAIC and COPERNICAN systems, I endeavour only, by my enquiries, to know the real situation of the planets; that is, in other words, I endeavour to give them, in my conception, the same relations, that they bear towards each other in the heavens. To this operation of the mind, therefore, there seems to be always a real, though often an unknown standard, in the nature of things; nor is truth or (...) falsehood variable by the various apprehensions of mankind. Though all human race should for ever conclude, that the sun moves, and the earth remains at rest, the sun stirs not an inch from his place for all these reasonings; and such conclusions are eternally false and erroneous. (shrink)

Interpreters of Hume on causation consider that an advantage of the ‘quasi-realist’ reading is that it does not commit him to scepticism or to an error theory about causal reasoning. It is unique to quasi-realism that it maintains this positive epistemic result together with a rejection of metaphysical realism about causation: the quasi-realist supplies an appropriate semantic theory in order to justify the practice of talking ‘as if’ there were causal powers in the world. In this paper, I problematise the (...) quasi-realist reading of Hume on causation by showing how quasi-realism does not speak to inductive scepticism. I also offer evidence that Hume takes inductive scepticism to result from his theory of causation, and that his scepticism is tied to his rejection of metaphysical causal realism. (shrink)

O ceticismo é por vezes descartado como uma doutrina absurda e merecedora do seu lugar distante na antiguidade. Nada poderia ser menos correto. O ceticismo continua extremamente relevante para o pensamento filosófico e científico de hoje, servindo como um lembrete de que a sabedoria não é barata nem segura. Nesse texto, o meu objetivo principal é reproduzir o raciocínio das discussões clássicas sobre o ceticismo, mas de uma maneira coloquial e contemporânea. Após seguir as linhas de pensamento de Sexto Empírico, (...) René Descartes, e David Hume, eu vou extrair e identificar claramente as teses centrais que marcam as suas ideias. A minha intenção, porém, não é a de sugerir que as suas teses são auto-evidentes, ou incontestáveis, ou até hoje ainda incontestadas. Muito pelo contrário. A minha intenção é produzir um aperitivo ao debate e um convite a discussão. (shrink)

Hans Reichenbach’s pragmatic treatment of the problem of induction in his later works on inductive inference was, and still is, of great interest. However, it has been dismissed as a pseudo-solution and it has been regarded as problematically obscure. This is, in large part, due to the difficulty in understanding exactly what Reichenbach’s solution is supposed to amount to, especially as it appears to offer no response to the inductive skeptic. For entirely different reasons, the significance of Bertrand Russell’s classic (...) attempt to solve Hume’s problem is also both obscure and controversial. Russell accepted that Hume’s reasoning about induction was basically correct, but he argued that given the centrality of induction in our cognitive endeavors something must be wrong with Hume’s basic assumptions. What Russell effectively identified as Hume’s (and Reichenbach’s) failure was the commitment to a purely extensional empiricism. So, Russell’s solution to the problem of induction was to concede extensional empiricism and to accept that induction is grounded by accepting both a robust essentialism and a form of rationalism that allowed for a priori knowledge of universals. So, neither of those doctrines is without its critics. On the one hand, Reichenbach’s solution faces the charges of obscurity and of offering no response to the inductive skeptic. On the other hand, Russell’s solution looks to be objectionably ad hoc absent some non-controversial and independent argument that the universals that are necessary to ground the uniformity of nature actually exist and are knowable. This particular charge is especially likely to arise from those inclined towards purely extensional forms of empiricism. In this paper the significance of Reichenbach’s solution to the problem of induction will be made clearer via the comparison of these two historically important views about the problem of induction. The modest but important contention that will be made here is that the comparison of Reichenbach’s and Russell’s solutions calls attention to the opposition between extensional and intensional metaphysical presuppositions in the context of attempts to solve the problem of induction. It will be show that, in effect, what Reichenbach does is to establish an important epistemic limitation of extensional empiricism. So, it will be argued here that there is nothing really obscure about Reichenbach’s thoughts on induction at all. He was simply working out the limits of extensional empiricism with respect to inductive inference in opposition to the sort of metaphysics favored by Russell and like-minded thinkers. (shrink)

This paper formulates some paradoxes of inductive knowledge. Two responses in particular are explored: According to the first sort of theory, one is able to know in advance that certain observations will not be made unless a law exists. According to the other, this sort of knowledge is not available until after the observations have been made. Certain natural assumptions, such as the idea that the observations are just as informative as each other, the idea that they are independent, and (...) that they increase your knowledge monotonically (among others) are given precise formulations. Some surprising consequences of these assumptions are drawn, and their ramifications for the two theories examined. Finally, a simple model of inductive knowledge is offered, and independently derived from other principles concerning the interaction of knowledge and counterfactuals. (shrink)

In ‘Induction and Natural Kinds’, I proposed a solution to the problem of induction according to which our use of inductive inference is reliable because it is grounded in the natural kind structure of the world. When we infer that unobserved members of a kind will have the same properties as observed members of the kind, we are right because all members of the kind possess the same essential properties. The claim that the existence of natural kinds is what grounds (...) reliable use of induction is based on an inference to the best explanation of the success of our inductive practices. As such, the argument for the existence of natural kinds employs a form of ampliative inference. But induction is likewise a form of ampliative inference. Given both of these facts, my account of the reliability of induction is subject to the objection that it provides a circular justification of induction, since it employs an ampliative inference to justify an ampliative inference. In this paper, I respond to the objection of circularity by arguing that what justifies induction is not the inference to the best explanation of its reliability. The ground of induction is the natural kinds themselves. (shrink)

Pragmatic responses to skepticism have been overlooked in recent decades. This paper explores one such response by developing a character called the Pragmatic Skeptic. The Pragmatic Skeptic accepts skeptical arguments for the claim that we lack good evidence for our ordinary beliefs, and that they do not constitute knowledge. However, they do not think we should give up our beliefs in light of these skeptical conclusions. Rather, we should retain them, since we have good practical reasons for doing so. This (...) takes the sting out of skepticism: we can be skeptics, of a kind, without thereby succumbing to practical or intellectual disaster. I respond to objections, and compare the position of the Pragmatic Skeptic to views found in the work of (among others) David Hume, William James, David Lewis, Berislav Marusic, and Robert Pasnau. (shrink)

The problem of rational prediction, launched by Wesley Salmon, is without doubt the Achilles heel of the critical method defended by Popper. In this paper, I assess the response given both by Popper and by the popperian Alan Musgrave to this problem. Both responses are inadequate and thus the conclusion of Salmon is reinforced: without appeal to induction, there is no way to make of the practical prediction a rational action. Furthermore, the critical method needs to be vindicated if one (...) pretends that its application be suitable for the preference of hypothesis. I argue that the nature of this vindication is such that it may be applied also to induction. Thus, to be a popperian is a good reason also to be an inductivist. (shrink)

I present a new thermodynamic argument for the existence of God. Naturalistic physics provides evidence for the failure of induction, because it provides evidence that the past is not at all what you think it is, and your existence is just a momentary fluctuation. The fact that you are not a momentary fluctuation thus provides evidence for the existence of God – God would ensure that the past is roughly what we think it is, and you have been in existence (...) for roughly the amount of time you think you have. I don’t have a definitive way for the atheist to refute this argument, but I give one suggestion that relies on physics-based simplicity considerations. I close with an epistemological discussion of self-undermining arguments. (shrink)

Roger White (2015) sketches an ingenious new solution to the problem of induction. He argues from the principle of indifference for the conclusion that the world is more likely to be induction- friendly than induction-unfriendly. But there is reason to be skeptical about the proposed indifference-based vindication of induction. It can be shown that, in the crucial test cases White concentrates on, the assumption of indifference renders induction no more accurate than random guessing. After discussing this result, the paper explains (...) why the indifference-based argument seemed so compelling, despite ultimately being unsound. (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.

In “The Constraints of Hume’s Naturalism” Barry Stroud takes on the task of looking at Hume’s negative and positive accounts of induction in conjunction. Stroud goes about doing this so that we might walk away with “a more general lesson about naturalism, at least when it is indulged in for philosophical purposes”. Given the boldness of Stroud’s quote from above there should be some explicit talk of this general lesson about naturalism outside of Hume’s, but there is none that is (...) readily apparent. If a more general and philosophically motivated lesson about naturalism is to be gleaned from Stroud’s investigation of Hume, then we should take this to be a lesson implicit in Stroud and not Hume. Hence I shall argue that Stroud tacitly endorses the skeptical conclusions of David Hume about naturalism in general when indulged for philosophical purposes. (shrink)

Many theorists have proposed that we can use the principle of indifference to defeat the inductive sceptic. But any such theorist must confront the objection that different ways of applying the principle of indifference lead to incompatible probability assignments. Huemer offers the explanatory priority proviso as a strategy for overcoming this objection. With this proposal, Huemer claims that we can defend induction in a way that is not question-begging against the sceptic. But in this article, I argue that the opposite (...) is true: if anything, Huemer’s use of the principle of indifference supports the rationality of inductive scepticism. (shrink)

Laurence BonJour has recently proposed a novel and interesting approach to the problem of induction. He grants that it is contingent, and so not a priori, that our patterns of inductive inference are reliable. Nevertheless, he claims, it is necessary and a priori that those patterns are highly likely to be reliable, and that is enough to ground an a priori justification induction. This paper examines an important defect in BonJour's proposal. Once we make sense of the claim that inductive (...) inference is "necessarily highly likely" to be reliable, we find that it is not knowable a priori after all. (shrink)

Meta-induction, in its various forms, is an imitative prediction method, where the prediction methods and the predictions of other agents are imitated to the extent that those methods or agents have proven successful in the past. In past work, Schurz demonstrated the optimality of meta-induction as a method for predicting unknown events and quantities. However, much recent discussion, along with formal and empirical work, on the Wisdom of Crowds has extolled the virtue of diverse and independent judgment as essential to (...) maintenance of 'wise crowds'. This suggests that meta-inductive prediction methods could undermine the wisdom of the crowd inasmuch these methods recommend that agents imitate the predictions of other agents. In this article, we evaluate meta-inductive methods with a focus on the impact on a group's performance that may result from including meta-inductivists among its members. In addition to considering cases of global accessibility (i.e., cases where the judgments of all members of the group are available to all of the group's members), we consider cases where agents only have access to the judgments of other agents within their own local neighborhoods. (shrink)

The hard problem of induction is to argue without begging the question that inductive inference, applied properly in the proper circumstances, is conducive to truth. A recent theorem seems to show that the hard problem has a deductive solution. The theorem, provable in zfc, states that a predictive function M exists with the following property: whatever world we live in, M correctly predicts the world’s present state given its previous states at all times apart from a well-ordered subset. On the (...) usual model of time a well-ordered subset is small relative to the set of all times. M’s existence therefore seems to provide a solution to the hard problem. My paper argues for two conclusions. First, the theorem does not solve the hard problem of induction. More positively though, it solves a version of the problem in which the structure of time is given modulo our choice of set theory. (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 adduce a new argument in support of the claim that IBE is an autonomous form of inference, based on a familiar, yet surprisingly, under-discussed, problem for Hume’s theory of induction. I then use some insights thereby gleaned to argue for the claim that induction is really IBE, and draw some normative conclusions.

Where does the necessity that seems to accompany causal inferences come from? “Why [do] we conclude that … particular causes must necessarily have such particular effects?” In 1.3.6 of the Treatise, Hume entertains the possibility that this necessity is a function of reason. However, he eventually dismisses this possibility, where this dismissal consists of Hume’s “negative” argument concerning induction. This argument has received, and continues to receive, a tremendous amount of attention. How could causal inferences be justified if they are (...) not justified by reason? If we believe that p causes q, isn’t it reason that allows us to conclude q when we see p with some assurance, i.e. with some necessity? (shrink)

A Mug's Game? Solving the Problem of Induction with Metaphysical Presuppositions Nicholas Maxwell Emeritus Reader in Philosophy of Science at University College London Email: nicholas.maxwell@ucl.ac.uk Website: www.ucl.ac.uk/from-knowledge-to-wisdom . Abstract This paper argues that a view of science, expounded and defended elsewhere, solves the problem of induction. The view holds that we need to see science as accepting a hierarchy of metaphysical theses concerning the comprehensibility and knowability of the universe, these theses asserting less and less as we go up the (...) hierarchy. It may seem that this view must suffer from vicious circularity, in so far as accepting physical theories is justified by an appeal to metaphysical theses in turn justified by the success of science. But this is rebutted. A thesis high up in the hierarchy asserts that the universe is such that the element of circularity, just indicated, is legitimate and justified, and not vicious. Acceptance of the thesis is in turn justified without appeal to the success of science. It may seem that the practical problem of induction can only be solved along these lines if there is a justification of the truth of the metaphysical theses in question. It is argued that this demand must be rejected as it stems from an irrational conception of science. (shrink)

On the basis of the distinction between logical and factual probability, epistemic justification is distinguished from logical justification of induction. It is argued that, contrary to the accepted interpretation of Hume, Hume believes that inductive inferences are epistemically legitimate and justifiable. Hence the beliefs arrived at via (correct) inductive inferences are rational beliefs. According to this interpretation, Hume is not a radical skeptic about induction.

In this three-part paper, my concern is to expound and defend a conception of science, close to Einstein's, which I call aim-oriented empiricism. I argue that aim-oriented empiricsim has the following virtues. (i) It solve the problem of induction; (ii) it provides decisive reasons for rejecting van Fraassen's brilliantly defended but intuitively implausible constructive empiricism; (iii) it solves the problem of verisimilitude, the problem of explicating what it can mean to speak of scientific progress given that science advances from one (...) false theory to another; (iv) it enables us to hold that appropriate scientific theories, even though false, can nevertheless legitimately be interpreted realistically, as providing us with genuine , even if only approximate, knowledge of unobservable physical entities; (v) it provies science with a rational, even though fallible and non-mechanical, method for the discovery of fundamental new theories in physics. In the third part of the paper I show that Einstein made essential use of aim-oriented empiricism in scientific practice in developing special and general relativity. I conclude by considering to what extent Einstein came explicitly to advocate aim-oriented empiricism in his later years. (shrink)

Skepticism about the external world may very well be correct, so the question is in order: what theory of knowledge flows from skepticism itself? The skeptic can give a relatively simple and intuitive account of knowledge by identifying it with indubitable certainty. Our everyday ‘I know that p’ claims, which typically are part of practical projects, deploy the ideal of knowledge to make assertions closely related to, but weaker than, knowledge claims. The truth of such claims is consistent with skepticism; (...) various other vexing problems don’t arise. In addition, even if no claim about the world outside my mind can be more probable than its negation, the project of pure scientific research remains well motivated. (shrink)

In Part I (Philosophy of Science, Vol. 41 No.2, June, 1974) it was argued that in order to rebut Humean sceptical arguments, and thus show that it is possible for pure science to be rational, we need to reject standard empiricism and adopt in its stead aim oriented empiricism. Part II seeks to articulate in more detail a theory of rational scientific discovery within the general framework of aim oriented empiricism. It is argued that this theory (a) exhibits pure science (...) as a rational enterprise (b) enables us to resolve problems associated with the key notions of simplicity and intelligibility (c) has important implications both for philosophy of science and for scientific practice itself. (shrink)

If we add as an extra premise that the agent does know H, then it is possible for her to know E — H, we get the conclusion that the agent does not really know H. But even without that closure premise, or something like it, the conclusion seems quite dramatic. One possible response to the argument, floated by both Descartes and Hume, is to accept the conclusion and embrace scepticism. We cannot know anything that goes beyond our evidence, so (...) we do not know very much at all. This is a remarkably sceptical conclusion, so we should resist it if at all possible. A more modern response, associated with externalists like John McDowell and Timothy Williamson, is to accept the conclusion but deny it is as sceptical as it first appears. The Humean argument, even if it works, only shows that our evidence and our knowledge are more closely linked than we might have thought. Perhaps that’s true because we have a lot of evidence, not because we have very little knowledge. There’s something right about this response I think. We have more evidence than Descartes or Hume thought we had. But I think we still need the idea of ampliative knowledge. It stretches the concept of evidence to breaking point to suggest that all of our knowledge, including knowledge about the future, is part of our evidence. So the conclusion really is unacceptable. Or, at least, I think we should try to see what an epistemology that rejects the conclusion looks like. (shrink)

In The Rationality of Induction, David Stove presents an argument against scepticism about inductive inference—where, for Stove, inductive inference is inference from the observed to the unobserved. Let U be a finite collection of n particulars such that each member of U either has property F-ness or does not. If s is a natural number less than n, define an s-fold sample of U as s observations of distinct members of U each either having F-ness or not having F-ness. Let (...) pU denote the proportion of members of U that are Fs and, if S is an s-fold sample of U, let pS denote the proportion of members of S that are Fs. Call S representative if and only if |pS – pU|<0.01. Stove‘s argument against inductive scepticism is built on the following statistical fact: -/- As s gets larger the proportion of all possible s-fold samples of U that are representative gets closer to 1 (regardless of the size of U or of the value of pU). -/- In this essay I subject Stove‘s argument to thorough scrutiny. I show that the argument – as it stands – is incomplete, and I illuminate the issues involved in trying to fill the gaps. Along the way I demonstrate that one of the commonest objects to Stove‘s argument misses the point. -/- . (shrink)

This article considers two arguments that purport to show that inductive reasoning is unjustified: the argument adduced by Sextus Empiricus and the (better known and more formidable) argument given by Hume in the Treatise. While Sextus’ argument can quite easily be rebutted, a close examination of the premises of Hume’s argument shows that they are seemingly cogent. Because the sceptical claim is very unintuitive, the sceptical argument constitutes a paradox. And since attributions of justification are theoretical, and the claim that (...) they are never (or seldom) true isn’t preposterous, the correct response to the paradox may well be to admit that the sceptic has exposed our error in making them. (shrink)

An extract from Williams' The Ground of Induction (1947): "The sober amateur who takes the time to follow recent philosophical discussion will hardly resist the impression that much of it, in its dread of superstition and dogmatic reaction, has been oriented purposely toward skepticism: that a conclusion is admired in proportion as it is skeptical; that a jejune argument for skepticism will be admitted where a scrupulous defense of knowledge is derided or ignored; that an affirmative theory is a mere (...) annoyance to be stamped down as quickly as possible to a normal level of denial and defeat. It is an age which most admires the man who, as somebody has said, 'has a difficulty for every solution'. Whether or not this judgment is fair, however, it is safe to say, with Whitehead, that 'the theory of induction is the despair of philosophy - and yet all our activities are based upon it'. [A.N. Whitehead, Science and the Modern World (New York, 1925, p. 35] So prodigious a theoretical contretemps cannot remain a tempest in the professors' teapot. The news that no foundation is discoverable for the procedures of empirical intelligence, and still more the proclaimed discovery that there is no foundation, and still more the complacency which recommends that we reconcile ourselves to the lack, condemn the problem as a 'pseudoproblem', and proceed by irrational faith or pragmatic postulate, will slowly shatter civilized life and thought, to a degree which will make the modernist's loss of confidence in Christian supernaturalism, so often cited as the ultimate in spiritual cataclysms, seem a minor vicissitude. The demand that rational man adjust himself to a somewhat bleaker universe than he once hoped for is only one large and picturesque instance of the sort of re-orientation which inductive intelligence, in its very nature,continually imposes, and well within the proved capacities of human reason and good-will.. (shrink)