Hume: Induction

This paper reports (in section 1 “Introduction”) some quotes from Nelson Goodman which clarify that, contrary to a common misunderstanding, Goodman always denied that “grue” requires temporal information and “green” does not require temporal information; and, more in general, that Goodman always denied that grue-like predicates require additional information compared to what green-like predicates require. One of the quotations is the following, taken from the first page of the Foreword to chapter 8 “Induction” of the Goodman’s book “Problems and Projects”: (...) “Nevertheless, we may by now confidently conclude that no general distinction between projectible and non- projectible predicates can be drawn on syntactic or even on semantic grounds. Attempts to distinguish projectible predicates as purely qualitative, or non-projectible ones as time-dependent, for example, have plainly failed”. Barker and Achinstein in their famous paper of 1960 tried to demonstrate that the grue-speaker (named Mr. Grue in their paper) needs temporal information to be able to determine whether an object is grue, but Goodman replied (in “Positionality and Pictures”, contained in his book “Problems and Projects”, chapter 8, section 6b) that they failed to prove that Mr. Grue needs temporal information to determine whether an object is grue. According to Goodman, since the predicates “blue” and “green” are interdefinable with the predicates “grue” and “bleen”, “if we can tell which objects are blue and which objects are green, we can tell which ones are grue and which ones are bleen” [pages 12-13 of “Reconceptions in Philosophy and Other Arts and Sciences”]. But this paper points out that an example of interdefinability is also that one about the predicate “gruet”, which is a predicate that applies to an object if the object either is green and examined before time t, or is non-green and not examined before time t. The three predicates “green”, “gruet”, “examined before time t” are interdefinable: and even though the predicates “green” and “examined before time t” are interdefinable, being able to tell if an object is green does not imply being able to tell if an object is examined before time t (the interdefinability among three elements is a type of interdefinability present, for example, also among the logical connectives). Thus, it is wrong the Goodman’s thesis according to which if it is possible to determine without having temporal information whether the predicate “green” has to be applied to an object, then it is also possible to determine without having temporal information whether a predicate interdefinable with “green” has to be applied to an object. Another example of interdefinability is that one about a decidable predicate PD, which is interdefinable with an undecidable predicate PU: therefore even though we can tell whether an object is PD and whether an object is non-PD, we cannot tell whether an object is PU (since PU is an undecidable predicate) and whether an object is non-PU. Although the predicates PD and PU are interdefinable, the possibility to determine whether an object is PD does not imply the possibility to determine whether an object is PU (since PU is an undecidable predicate). Similarly, although the predicates “green” and “grue” are interdefinable, the possibility to determine whether an object is “green” even in absence of temporal information does not imply the possibility to determine whether an object is “grue” even in absence of temporal information. These and other examples about “grue” and “bleen” point out that even in case two predicates are interdefinable, the possibility to apply a predicate P does not imply the possibility to apply a predicate interdefinable with P. And that the possibility to apply the predicate “green” without having temporal information does not imply the possibility to apply the predicate “grue” without having temporal information. Furthermore, knowing that an object is both green and grue implies temporal information: in fact, we know by definition that a grue object can only be: 1) either green (in case the object is examined before time t); 2) or blue (in case the object is not examined before time t). Thus, knowing that an object is both grue and green, we know that we are faced with case 1, the case of a grue object that is green and examined before time t. Then the paper points out why the Goodman-Kripke paradox is a paradox about meaning that cannot have repercussions on induction. Finally the paper points out why Hume’s problem is a problem different from Goodman’s paradox and requires a specific treatment. -/- . (shrink)

Neste texto inrodutório, apresento brevemente o que normalmente se entende pelo velho problema da indução e, em seguida, apresento um pouco mais detidamente, acentuando as diferenças e semelhanças, o novo enigma da indução.

This is partly fictional. It is chiefly a reconstruction (not always faithful) of Hume’s fundamental uses of notions of similarity, mostly based on Enquiry. It is the first part (out of four) of a monograph on the evolution of similarity toolmaking. Histories of doctrines are common in our discipline, not so for histories of tools; this is what it’s about. What’s disturbing: I write as if I were talking about the customs and beliefs of ancient tribes instead of real philosophers. (...) Advantages: helps focus on what similarity tools are apt to, I don’t have to worry about my Hume being merely MY Hume; more fun. Here is the thematic layout: 1.1: (very fictional) methodological introduction; page 2. 1.2: on the origin of ideas + missing shade of blue; p. 4. 1.3: the Xenophobia model; p. 12. 1.4: case studies of cognitive trickery; p. 16 : 1.4.1: arguments from experience; p. 17. 1.4.2: the idea of necessary connection; p. 21. 1.4.3: abstract and very general ideas; p. 23. 1.5: conceptual distinctions between used similarity tools and a few comments; p. 29. (shrink)

A comprehensive history of how induction has been conceived, from Socrates to Karl Popper.

It is usually accepted that deductions are non-informative and monotonic, inductions are informative and nonmonotonic, abductions create hypotheses but are epistemically irrelevant, and both deductions and inductions can’t provide new insights. In this article, I attempt to provide a more cohesive view of the subject with the following hypotheses: (1) the paradigmatic examples of deductions, such as modus ponens and hypothetical syllogism, are not inferential forms, but coherence requirements for inferences; (2) since any reasoner aims to be coherent, any inference (...) must be deductive; (3) a coherent inference is an intuitive process where the premises should be taken as sufficient evidence for the conclusion, which on its turn should be viewed as necessary evidence for the premises in some modal range; (4) inductions, properly understood, are abductions, but there are no abductions beyond the fact that in any inference the conclusion should be regarded as necessary evidence for the premises; (5) monotonicity is not only compatible with the retraction of past inferences given new information, but it is a requirement for it; (6) this explanation of inferences holds true for discovery processes, predictions and trivial inferences. (shrink)

I develop a critique of Hume’s infamous problem of induction based upon the idea that the principle of induction (PI) is a normative rather than descriptive claim. I argue that Hume’s problem is a false dilemma, since the PI might be neither a “relation of ideas” nor a “matter of fact” but rather what I call a contingent normative statement. In this case, the PI could be justified by a means-ends argument in which the link between means and end is (...) established solely by deductive reasoning. The means-ends argument is an elementary result from formal learning theory that you must be willing to make inductive generalizations if you want to be logically reliable in the types of examples Hume described. This justification of the PI avoids both horns of Hume’s dilemma. Since no contradiction ensues from rejecting logical reliability as an aim, the PI is contingent. Yet since the proof concerning the PI and logical reliability is not based on inductive reasoning, there is no threat of circularity. (shrink)

According to the Feigl–Reichenbach–Salmon–Schurz pragmatic justification of induction, no predictive method is guaranteed or even likely to work for predicting the future; but if anything will work, induction will work—at least when induction is employed at the meta-level of predictive methods in light of their track records. One entertains a priori all manner of esoteric prediction methods, and is said to arrive a posteriori at the conclusion, based on the actual past, that object-level induction is optimal. Schurz’s refinements largely solve (...) the notorious short-run problem. A difficulty is noted, however, related to short-run worries but based on localized disagreement about the past, a feature characteristic of real debates (especially early modern) involving induction in intellectual history. Given the evidence about past events, _unfiltered by induction_, meta-induction might support a partly non-inductive method—especially as judged by proponents of esoteric prediction methods, who presumably believe that their methods have worked. Thus induction is justified meta-inductively in contexts where it was uncontroversial, while not obviously justified in key contexts where it has been disputed. This objection, momentarily sensed by Reichenbach regarding clairvoyance, is borne out by the Stoics’ use of meta-induction to justify both science and divination and by ancient Hebrew examples of meta-induction. Schurz’s recently introduced criteria for acceptance of testimony play a crucial role in arriving at object-level induction using meta-induction, but one might question them. Given the need for judgment in accepting testimony, it is unclear that the subjectivity of Howson’s Bayesian answer to Hume’s problem is overcome. (shrink)

This paper examines a twofold tension in Gerhard Schurz’s (2019) recent proposal to solve Hume’s problem of induction. Schurz concedes to the skeptic that there is no non-circular epistemic justification of the reliability of induction, but then argues for the optimality of meta-induction so that if any prediction method is reliable, then meta-induction is. There is a tension in this proposal between meta-induction and our inductive practice: Are we supposed to abandon our inductive practice in favor of meta-induction? Schurz claims (...) that given the actual way the world has been, the meta-inductive method supports the standard inductive method. There then arises a second tension: The challenges Schurz cites against the reliability of induction—such as the anti-inductive hypothesis and the state-uniform probability distribution—cast doubt on Schurz’s claim that meta-induction supports induction. The reasoning in this paper moves in the opposite direction: There are ways of answering these challenges in defense of Schurz’s claim that meta-induction supports induction, but these ways also point to ways of defending induction directly without the mediation of meta-induction. (shrink)

In this paper, I will discuss accounts to solve the problem of induction by introducing necessary connections. The basic idea is this: if we know that there are necessary connections between properties F and G such that F -ness necessarily brings about G-ness, then we are justified to infer that all, including future or unobserved, F s will be Gs. To solve the problem of induction with ontology has been proposed by David Armstrong and Brian Ellis. In this paper, I (...) will argue that these attempts to solve the problem of induction fail. Necessary connections fail to reliably imply the respective regularities for two main reasons: Firstly, according to an argument originally presented by Helen Beebee, the respective necessary connections might be time-limited, and hence do not warrant inferences about future cases. As I will discuss, arguments against the possibility or explanatory power of time-limited necessary connections fail. Secondly, even time-unlimited necessary connections do not entail strict or non-strict regularities, and nor do they allow inferences about individual cases, which is an important function of inductive reasoning. Moreover, the proposed solution to the problem of induction would only apply to a tiny minority of inductive inferences. I argue that most inductive inferences are not easily reducible to the proposed inference pattern, as the vast majority of everyday inductive inferences do not involve necessary connections between fundamental physical properties or essences. (shrink)

The subject of this essay is the classical problem of induction, which is sometimes attributed to David Hume and called “the Humean Problem of Induction.” Here, I examine a certain sort of Neo-Aristotelian solution to the problem, which appeals to the concept of natural kinds in its response to the inductive skeptic. This position is most notably represented by Howard Sankey and Marc Lange. The purpose of this paper is partly destructive and partly constructive. I raise two questions. The first (...) is: Are the natural kind solutions to the problem successful? The first thesis of this paper is that they are not, and I will show how and why they fail. And the second question I raise here is: Is there nonetheless some alternative Neo-Aristotelian solution to the problem which is successful and can overcome the shortcomings endemic to the Sankey-Lange account? The second thesis is that there is, and I’ll attempt to sketch one. My stance here may be summarized by saying that, while I agree with Sankey and Lange that the problem of induction can be adequately resolved, and while I am on the whole sympathetic with the Aristotelian spirit of their account, I am, for all that, dissatisfied with the letter of them. Nothing short of a more thoroughgoing Aristotelianism about the epistemology of induction will do. (shrink)

The Heythrop Journal, Volume 63, Issue 4, Page 547-552, July 2022.

En este artículo se sostiene la siguiente hipótesis: si una hipótesis tiene valor epistémico para Hume, este valor tiene que provenir de la intuición. Para ello se consideran las tres posibles fuentes de conocimiento en su pensamiento: la demostración, la experiencia y la intuición. Considerando que Hume presenta su doctrina de la creencia como una hipótesis, se argumenta que el valor epistémico de las hipótesis no puede provenir de la demostración ni de la experiencia y, por tanto, o las hipótesis (...) carecen de valor epistémico o su valor epistémico proviene de la intuición. Para sostener la hipótesis propuesta se ofrece un análisis de la evidencia textual sobre la hipótesis y la intuición a la luz de la literatura disponible sobre el tema. (shrink)

The Problem of Induction This article discusses the problem of induction, including its conceptual and historical perspectives from Hume to Reichenbach. Given the prominence of induction in everyday life as well as in science, we should be able to tell whether inductive inference amounts to sound reasoning or not, or at least we should be … Continue reading Induction, The Problem of →.

The scope of this research is the study of Hume's solution for the problem of induction. The philosophers still wonder whether they could determine unobserved instances based upon similar observed ones. However, Hume didn't employ this problem directly in his books but he answered this question within the discussion of causation. According to Hume's point-of-view, the source of universals that is based on particles; is in the human spirit. The nature of human spirit, after frequently observation of successions in the (...) past, expects to observe same succession in future. All Hume interpreters agree on everything said. But they have different opinions on whether Hume had any further theory about causation. In this paper, first a faithful to context report about causation and accordingly Induction Problem with Hume is presented and then different interpretations on Hume's causation are introduced briefly and finally each interpretation is discussed thoroughly citing its shortcomings briefly. In this paper, first a faithful to context report about causation and accordingly Induction Problem with Hume is presented and then different interpretations oh Hume's causation are introduced briefly and finally each interpretation is discussed thoroughly citing its shortcomings briefly. (shrink)

Resumen La filosofía de Hume se ha interpretado tradicionalmente como radicalmente escéptica respecto de la posibilidad de otorgarle justificación epistémica a nuestras creencias inductivas acerca del futuro y lo inobservado. En este artículo me focalizaré en las creencias inductivas originadas en la costumbre y señalaré - contra la tradición exegética- que un análisis riguroso de las características propias de los mecanismos psicológicos involucrados en la formación de esta clase de creencias sí nos permite otorgarles mérito epistémico y atribuirles justi ficación (...) bajo una lectura externalista.Hume'sphilosophy has been traditionally interpreted as radically skeptical about the possibility of giving epistemic justification to our inductive beliefs about the future and the unobserved. In this article I willfocus on the inductive beliefs originated in custom and I willpoint out - against the exegetical tradition - that a rigorous analysis of the characteristics of the psychological mechanisms involved in the formation of this class of beliefs does allow us to grant them epistemic merit and attribute justification to them under an externalist reading. (shrink)

This paper will make the case that we can find in Kant’s Second Analogy a substantive response to Hume’s argument on induction. This response is substantive insofar as it does not merely consist in independently arguing for the opposite conclusion, but rather, it identifies and exploits a gap in this argument. More specifically, Hume misses the possibility of justifying the uniformity of nature as a synthetic a priori proposition, which Kant looks to establish in the Second Analogy. Note that the (...) focus on the paper is on Kant’s identification of the form that a solution to Hume’s inductive scepticism must take. In making this point, my paper will look to establish two lemmas: Kant identifies synthetic a priori judgments as a means of justifying metaphysical knowledge in a way that circumvents Hume’s dichotomy between matters of fact and relations of ideas; the Second Analogy looks to establish the uniformity of nature of as a synthetic a priori proposition. However, my paper generally abstains from the question of the tenability of Kant’s argument in the Second Analogy. Doing justice to this latter discussion would require more space than I am able to offer here. My paper therefore has a conditional bearing on the philosophical issue of inductive scepticism. If one believes Kant’s Second Analogy to be philosophically cogent, then Kant offers a successful justification of induction against Hume’s scepticism. If not, then at least one can still admire Kant’s identification of the gap in Hume’s argument, which, to a degree, can be exploited independently of Kant’s system. (shrink)

We argue that, in all probability, the universe will become less predictable. This assertion means that induction, which some scientists conceive of as a tool for predicting the future, will become less useful. Our argument claims that the universe will increasingly come under intentional control, and objects that are under intentional control are typically less predictable than those that are not. We contrast this form of skepticism about induction, "Skeptical-Dogmatism," with David Hume's Pyrrhonian skepticism about induction.

According to Husserl, Hume’s empirical method was deeply flawed—like all empiricists, Hume did not, and could not adequately justify his method, much less his findings. Instead, Hume gives us a “circular” and “irrational” “psychological explanation” of “mediate judgments of fact,” i.e. of inductive inferences. Yet Husserl was certain that he could justify both his own method and his own findings with an appeal to the phenomenological, pre-theoretical, pre-naturalistic “epoché”. However, whether or not Husserl’s notion of an epoché is justified, or (...) even viable, is not our focus here. Rather, our issue is with Hume, particularly: How could Hume have responded? In this paper, I show that in Book I of the Treatise, Hume did—however implicitly—appeal to a “pre-theoretical” notion of belief, which meets Husserl’s demands for a pre-theoretical grounding, i.e. a justificatory grounding. And so, his method is, at least in this respect, justified. But this belief is by no means “prenaturalistic.” Rather, it is a function of empirical data. In particular, it is a product of the “constant and coherent” impressions that seem to naturally obtain of experience. As a result, Hume’s method, which, in agreement with Husserl, we may characterize as psychology, does admit of a certain degree of regularity, but an empirical regularity. And according to Hume, contra Husserl’s complaints, this is the best that we can hope for; regularity will have to suffice, not certainty. However, it must be noted up front that this justification is implicit—Hume is not nearly as forthright as he could have been. Thus, making his position more explicit is the task of this paper. I am not presenting my own position, where I offer my own arguments. Instead, I present textual evidence, contextualized with ample explication. It is my hope that by doing so, Hume may more effectively make his case. (shrink)

Classic inductive skepticism–the epistemological claim that we have no good reason to believe that the unobserved resembles the observed–is plausibly everyone’s lot, whether or not they embrace Hume’s metaphysical claim that distinct existents are “entirely loose and separate”. But contemporary advocates of a Humean metaphysic accept a metaphysical claim stronger than Hume’s own. I argue that their view plausibly gives rise to a radical inductive skepticism–according to which we are downright irrational in believing as we do about the unobserved–that we (...) don’t otherwise have reason to accept. The Metaphysical Neo-Humean is in an epistemological quagmire all her own. (shrink)

Gözlemlenenlerden gözlemlen(e)meyenlere diğer bir deyişle genel yasalara ulaşma imkânı veren çıkarım yöntemi olarak tümevarımsal ya da endüktif akıl yürütmenin rasyonel olarak temellendirilmesinin imkanına yönelik soruşturma tarih içerisinde tümevarım sorunu ya da endüksiyon problemi olarak tezahür etmiştir. Bu sorunun temel argümanı tarihsel okumalara baktığımızda İskoç ampirist filozof David Hume tarafından öne sürülmüştür. Hume, tümevarımsal çıkarımlar temelinde, gözlenmeyen meseleler hakkındaki inançlarımıza hangi gerekçelerle ulaştığımızı soruşturmaktadır. Hume soruşturmasının sonucunda gözlemlenenden gözlemlen(e)meyen durumlara ilişkin yapılan olgu meseleleri ile ilgili bütün tümevarımsal akıl yürütmelerin dolaylı ya (...) da dolaysız olarak nedensellik ilişkisine ve bu ilişkinin temelinde yer alan doğanın düzenliliği ilkesi ya da “gelecek her zaman geçmişe benzer” önermesine dayandığını ifade ederek bütün tümevarımsal akıl yürütmelerde ortak olan geleceğin her zaman geçmişe benzeyeceği ifadesinin rasyonel olarak temellendirilmesinin mümkün olmadığını belirtmektedir. Bu bağlamda, çalışmada tümevarımsal akıl yürütme sonucunda ulaşılan sonuca inanmanın hiçbir rasyonel temelinin olamayacağı yönündeki Hume’un görüşü argüman formunda yeniden yapılandırılarak ortaya konulacaktır. (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)

This paper explains what’s wrong with a Hume-inspired argument for skepticism about induction. Hume’s argument takes as a premise that inductive reasoning presupposes that the future will resemble the past. I explain why that claim is not plausible. The most plausible premise in the vicinity is that inductive reasoning from E to H presupposes that if E then H. I formulate and then refute a skeptical argument based on that premise. Central to my response is a psychological explanation for how (...) people judge that if E then H without realizing that they thereby settled the matter rationally. (shrink)

Nesse artigo, apresento a crítica de Hume de seu Tratado da natureza humana contra a garantia de inferência de causalidade a partir de argumentos de cunho psicológico e de um argumento lógico. Em seguida, são esclarecidos os detalhes da crítica que Popper dirige contra Hume em seu artigo Ciência: Conjecturas e refutações, no qual foca em uma solução do Problema de Hume – considerado como uma faceta do Problema da Demarcação. Explicarei que Popper defende que a ciência avança sempre da (...) teoria em direção à observação – e não o contrário – e que uma atitude crítica em relação às inferências de causalidade pode nos livrar de um dogmatismo irracional. Ainda assim, sustento que Popper está mais para um reformador do pensamento de Hume do que para um demolidor. (shrink)

Karl Popper explicitly discusses two problems in David Hume’s epistemology. He praises Hume for his critique of induction, specifically for his claim that inductive inferences are logically invalid. He rejects Hume’s psychological account of induction, specifically his theory of belief formation by repetition. Thus, Popper famously concludes that Hume buried the logical gems in the psychological mud and endorsed an irrationalist epistemology. The logical problem of induction gives Popper the impetus for spelling out his new, negative concept of reason, one (...) which is incompatible with justification; however, Popper’s approach does not adequately deal with all the relevant themes related to Hume’s psychological problem of induction: our instinctive yearning for justification. Yet Popper and Hume have more in common than Popper explicitly acknowledges. (shrink)

A new approach to Hume's problem of induction that justifies the optimality of induction at the level of meta-induction. Hume's problem of justifying induction has been among epistemology's greatest challenges for centuries. In this book, Gerhard Schurz proposes a new approach to Hume's problem. Acknowledging the force of Hume's arguments against the possibility of a noncircular justification of the reliability of induction, Schurz demonstrates instead the possibility of a noncircular justification of the optimality of induction, or, more precisely, of meta-induction (...) (the application of induction to competing prediction models). Drawing on discoveries in computational learning theory, Schurz demonstrates that a regret-based learning strategy, attractivity-weighted meta-induction, is predictively optimal in all possible worlds among all prediction methods accessible to the epistemic agent. Moreover, the a priori justification of meta-induction generates a noncircular a posteriori justification of object induction. Taken together, these two results provide a noncircular solution to Hume's problem. Schurz discusses the philosophical debate on the problem of induction, addressing all major attempts at a solution to Hume's problem and describing their shortcomings; presents a series of theorems, accompanied by a description of computer simulations illustrating the content of these theorems (with proofs presented in a mathematical appendix); and defends, refines, and applies core insights regarding the optimality of meta-induction, explaining applications in neighboring disciplines including forecasting sciences, cognitive science, social epistemology, and generalized evolution theory. Finally, Schurz generalizes the method of optimality-based justification to a new strategy of justification in epistemology, arguing that optimality justifications can avoid the problems of justificatory circularity and regress. (shrink)

Volume 32, Issue 3-4, September - December 2019, Page 229-231.

This paper aims to advance two claims. First, it aims to show that Hume’s argument against the rationality of induction is sound. However, I claim that the conclusion does not follow merely from the self-defeating attempts to justify the rule of induction, unlike traditional readings of the argument. Rather, the skeptical conclusion must also take into account Hume’s argument that the secret powers that are present in bodies and give rise to sensible qualities are unknowable. The paper’s second aim is (...) to show that Newtonian induction escapes Hume’s secret powers argument, given that it includes a transductive inference, from observable phenomena to the powers present in the ultimate parts of matter. Consequently Hume’s argument against the rationality of induction does not demonstrate the non-rational nature of Newtonian induction. (shrink)

Though Sellars often criticizes Hume, Hume's treatment of theoretical entities turns out to have more in common with Sellars' view of them than with the view of the logical positivists who claimed Hume as their predecessor.

Review of Bredo Johnsen's "Righting Epistemology: Hume's Revolution" (OUP, 2017).

This paper addresses Harman’s approach to enumerative induction as a case of inference to the best explanation. Αfter taking under brief consideration Hume’s critique to induction, the paper argues that Harman’s proposal does not improve the situation since the same characteristics of induction and the kind of skepticism associated with it reappear in case of inference to the best explanation. Then the paper questions Armstrong’s attempt to upgrade Harman’s suggestion by regarding a necessitation relation among two universals (a natural law) (...) as the best explanans of the n observed cases of an enumerative induction procedure. It holds that Armstrong’s modification of Harman’s approach faces some difficulties which arise in the context of his views about instantiated universals. Instead, the paper investigates the possibility to assign the role of the explanans to a metaphysically stronger condition. It suggests that accounts of natural laws as metaphysically necessary facts concerning natural kinds can contribute in an attempt for a more fertile application of Harman’s approach. (shrink)

David Armstrong once argued that to solve the problem of induction with inference to the best explanation we need an anti-Humean conception of law. Some Humeans have argued that this argument begs the question against Humeanism. In this paper, I propose a new argument for the same conclusion which is not vulnerable to this criticism. In particular, I argue that explanationist approaches to the problem of induction that are combined with Humeanism is internally incoherent.

There is a tradition perhaps as old as philosophy itself which sees the rationality of man – and in particular, the rationality of the philosopher - as both his essential and his redeeming characteristic; it can not unfairly be said that the discipline of philosophy at least is characterised by its dependence on reason. In this context, the philosophy of David Hume presents something of a stark challenge: Although interpretations vary as to the extent and nature of his scepticism, one (...) of the themes of his work is the limits and imperfections of human reason and the sceptical concerns this engenders. On Hume's system, reason is not the overlord of the imagination but at least in part subordinate to it, and can discover little or nothing without recourse to experience. -/- My aim here is to pinpoint the true nature of Hume's scepticism regarding reason, drawing chiefly on the Treatise but also to a lesser extent the Enquiry. After a brief overview of his project in the Treatise in section 1, I go on to give an account of Hume's conception of reason or the understanding, and the epistemological distinction between demonstrative and probable reasoning, in section 2. In section 3 I examine Hume's famous argument concerning induction, arguing that to read Hume as a sceptic regarding inference is a mistake and that to say induction is grounded in principles of the imagination is not to say that it is therefore irrational. In section 4 I examine the argument of Treatise 1.4.1, 'Of scepticism with regard to reason', and in section 5 the 'dangerous dilemma' to which it leads Hume in 1.4.7, arguing that whilst his treatment of the issues it raises is somewhat unsatisfactory in this section of the Treatise a better solution can be fashioned by appealing to a distinction between the general and the trivial properties of the imagination drawn elsewhere in both the Treatise and the Enquiry. Then in section 6 I conclude by offering my own attempt at characterising the extent of Hume's scepticism regarding reason, arguing that his “mitigated” scepticism is a scepticism about knowledge but not about belief, and that its chief aim is to ensure that we philosophise only on those subjects which are suitable for enquiry given the limits and frailties of our faculties; the “reflections of common life, methodized and corrected” (Enquiry 12.25, p.208) rather than “divinity” or “school metaphysics” (Enquiry 12.34, p.211). (shrink)

Developing the ideas presented in Jacquette (2011), the paper presents an indispensability argument aimed at justification of induction. First, Hume’s problem of induction is introduced via slightly different reconstructions. Second, several traditional attempts to solve Hume’s problem are presented. Finally, Jacquette’s(2011) proposal to justify induction by an indispensability argument is developed. I conclude with presenting a kind of indispensability argument for induction.

Across a series of papers and again in her recent book, Graciela De Pierris has argued that Hume is what she calls an inductivist about the methods of science. De Pierris takes Hume to follow Newton in holding that the ultimate aim of science is to seek "assurance concerning objects, which are removed from the present testimony of our memory and senses",1 and its method therefore to consist in the subsumption of observable particulars under inductively-established universal generalizations. As De Pierris (...) puts it, "[t]he central idea of the Newtonian inductive method, as summarized in his Rules, is that exceptionless or nearly exceptionless universal laws are inductively derived from 'manifest... (shrink)

Goodman concurs in Hume’s contention that no theory has any probability relative to any set of data, and offers two accounts, compatible with that contention, of how some inductive inferences are nevertheless justified. The first, framed in terms of rules of inductive inference, is well known, significantly flawed, and enmeshed in Goodman’s unfortunate entrenchment theory and view of the mind as hypothesizing at random. The second, framed in terms of characteristics of inferred theories rather than rules of inference, is less (...) well known, but provides a compelling view of inductive justification. Once the two accounts are clearly delineated, one can see that both are driven by a single deep conviction: that inductive justification can only be understood in terms of our actual inductive practice. (shrink)

Disputants in the debate regarding whether Hume's argument on induction is descriptive or normative have by and large ignored Hume’s positive argument (that custom is what determines inferences to the unobserved), largely confining themselves to intricate debates within the negative argument (that inferences to the unobserved are not founded on reason). I believe that this is a mistake, for I think Hume’s positive argument to have significant implications for the interpretation of his negative argument. In this paper, I will argue (...) that Hume’s positive and negative arguments should be read as addressing the same issues, whether normative or causal. I will then focus on the Enquiry version of Hume’s positive argument, arguing that it carries a significant normative conclusion: there, Hume argues that custom plays a normative role in justifying our inductive inferences. Given that Hume’s positive argument should be read as addressing the same issues as his negative argument, we should correspondingly read Hume’s negative argument in the Enquiry as having a normative conclusion. (shrink)

Discussion on whether Hume's treatment of induction is descriptive or normative has usually centred on Hume's negative argument, somewhat neglecting the positive argument. In this paper, I will buck this trend, focusing on the positive argument. First, I argue that Hume's positive and negative arguments should be read as addressing the same issues . I then argue that Hume's positive argument in the Enquiry is normative in nature; drawing on his discussion of scepticism in Section 12 of the Enquiry, I (...) explain a framework by which he provides what I call consequent justification for our inductive practices in his positive argument. Based on this, I argue that his negative argument in the Enquiry should similarly be read as normative in nature. (shrink)

In this revised and updated edition of The Secret Connexion, Galen Strawson explores one of the most discussed subjects in all philosophy: David Hume's work on causation. Strawson challenges the standard view of Hume, according to which he thinks that there is no such thing as causal influence, and that there is nothing more to causation than things of one kind regularly following things things of another kind. He argues that Hume does believe in causal influence, but insists that we (...) cannot know its nature. The regularity theory of causation is indefensible, and Hume never adopted it in any case. (shrink)

A common criticism of Hume’s famous anti-induction argument is that it is vitiated because it fails to foreclose the possibility of an authentically probabilistic justification of induction. I argue that this claim is false, and that on the contrary, the probability calculus itself, in the form of an elementary consequence that I call Hume’s Theorem, fully endorses Hume’s argument. Various objections, including the often-made claim that Hume is defeated by de Finetti’s exchangeability results, are considered and rejected.

Many necessitarians about cause and law (Armstrong 1983; Mumford 2004; Bird 2007) have argued that Humeans are unable to justify their inductive inferences, as Humean laws are nothing but the sum of their instances. In this paper I argue against these necessitarian claims. I show that Armstrong is committed to the explanatory value of Humean laws (in the form of universally quantified statements), and that contra Armstrong, brute regularities often do have genuine explanatory value. I finish with a Humean attempt (...) at a probabilistic justification of induction, but this fails due to its assumption that the proportionality syllogism is justified. Although this attempt fails, I nonetheless show that the Humean is at least as justified in reasoning inductively as Armstrong. (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.

Hume’s familiar sceptical argument against induction brands as irrational our practice of generalising from observed regularities because of its reliance on the assumption that nature is uniform, an assumption which is unjustifiable. The argument which I wish to consider focuses instead on the observed regularities that are required if we are legitimately to extrapolate from experience. According to Hume, the paradigm type of inductive reasoning involves a constant conjunction. But in fact we do not encounter such invariable uniformities: our experience (...) is, almost invariably, irregular. So setting aside Hume’s sceptical qualms about the very attempt to form expectations about the hitherto unobserved, how can we justify our ignoring such irregularities? My conclusion is that, even if the principle of uniformity can be justified, our practice is irrational by Hume’s lights. This is a new Humean critique of our “causal reasoning,” for, although Hume does not present it, the ingredients are all his. (shrink)