1. Introduction. Attempts to utilize the probability calculus to prove or disprove various inductive or inductive skeptical theses are, I believe, highly problematic. Inductivism and inductive skepticism are substantive philosophical positions that do not allow of merely formal proofs or disproofs. Often the problems with particular alleged formal proofs of inductive or inductive sceptical theses turn on subtle technical considerations. In the following I highlight such considerations in pointing out the flaws of two proofs, (...) one an alleged proof of an inductive sceptical conclusion due to Karl Popper, the other an alleged proof of an inductivist thesis originally due to Harold Jeffreys and later advocated by John Earman. Surprisingly, in examining Popper's argument it is shown that certain apparently weak premises, often embraced by both inductivists and deductivists, lend themselves to inductive conclusions. However it is argued that those premises are still philosophically substantive and not amenable to a purely formal demonstration. The lesson to be learnt here is twofold. First, we need to be very careful in determining which formal theses entail, and which are entailed by, inductive skepticism and inductivism. Second, we need to take great care in laying out and examining the assumptions presumed in formal arguments directed for and against such formal theses. In a follow up article I will consider various attempts by David Stove and Karl Popper and David Miller to identify the exact content of inductive skepticism and propose a new identification based on the theory of content developed in Gemes 1994. Finally I will compare this new version with that proposed recently in Alberto Mura 1990. (shrink)

1. Introduction. Attempts to utilize the probability calculus to prove or disprove various inductive or inductive skeptical theses are, I believe, highly problematic. Inductivism and inductive skepticism are substantive philosophical positions that do not allow of merely formal proofs or disproofs. Often the problems with particular alleged formal proofs of inductive or inductive sceptical theses turn on subtle technical considerations. In the following I highlight such considerations in pointing out the flaws of two proofs, (...) one an alleged proof of an inductive sceptical conclusion due to Karl Popper, the other an alleged proof of an inductivist thesis originally due to Harold Jeffreys and later advocated by John Earman. Surprisingly, in examining Popper's argument it is shown that certain apparently weak premises, often embraced by both inductivists and deductivists, lend themselves to inductive conclusions. However it is argued that those premises are still philosophically substantive and not amenable to a purely formal demonstration. The lesson to be learnt here is twofold. First, we need to be very careful in determining which formal theses entail, and which are entailed by, inductive skepticism and inductivism. Second, we need to take great care in laying out and examining the assumptions presumed in formal arguments directed for and against such formal theses. In a follow up article I will consider various attempts by David Stove and Karl Popper and David Miller to identify the exact content of inductive skepticism and propose a new identification based on the theory of content developed in Gemes 1994. Finally I will compare this new version with that proposed recently in Alberto Mura 1990. (shrink)

The no free lunch theorem is a radicalized version of Hume’s induction skepticism. It asserts that relative to a uniform probability distribution over all possible worlds, all computable prediction algorithms—whether ‘clever’ inductive or ‘stupid’ guessing methods —have the same expected predictive success. This theorem seems to be in conflict with results about meta-induction. According to these results, certain meta-inductive prediction strategies may dominate other methods in their predictive success. In this article this conflict is analyzed and dissolved, (...) by means of probabilistic analysis and computer simulation. (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)

There is not a unique inductive skeptical position; there are grades of inductive skepticism. There is nothing much to say about complete skepticism, but some more restricted skeptical positions may be profitably analyzed.

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)

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)

This essay defends the view that inductive reasoning involves following inductive rules against objections that inductive rules are undesirable because they ignore background knowledge and unnecessary because Bayesianism is not an inductive rule. I propose that inductive rules be understood as sets of functions from data to hypotheses that are intended as solutions to inductive problems. According to this proposal, background knowledge is important in the application of inductive rules and Bayesianism qualifies as (...) an inductive rule. Finally, I consider a Bayesian formulation of inductive skepticism suggested by Lange. I argue that while there is no good Bayesian reason for judging this inductive skeptic irrational, the approach I advocate indicates a straightforward reason not to be an inductive skeptic. (shrink)

Since the mid-1970s, scholars have recognized that the skeptical interpretation of Hume's central argument about induction is problematic. The science of human nature presupposes that inductive inference is justified and there are endorsements of induction throughout "Treatise" Book I. The recent suggestion that I.iii.6 is confined to the psychology of inductive inference cannot account for the epistemic flavor of its claims that neither a genuine demonstration nor a non-question-begging inductive argument can establish the uniformity principle. For Hume, (...) that inductive inference is justified is part of the data to be explained. Bad argument is therefore excluded as the cause of inductive inference; and there is no good argument to cause it. Does this reinstate the problem of induction, undermining Hume's own assumption that induction is justified? It does so only if justification must derive from "reason", from the availability of a cogent argument. Hume rejects this internalist thesis; induction's favorable epistemic status derives from features of custom, the mechanism that generates inductive beliefs. Hume is attracted to this externalist posture because it provides a direct explanation of the epistemic achievements of children and non-human animals — creatures that must rely on custom unsupplemented by argument. (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.

A survey of arguments and positions concerning the possibility of inductive knowledge, this piece covers: Hume's problem of induction; the underdetermination of theories by evidence; the method of hypothesis; the relationship between underdetermination and evidential holism; attempts to specify how some statements can be said to be evidentially (or justificatorily) relevant to other claims.

Chattopadhyaya (philosophy, Jadavpur U., Calcutta) examines the epistemological and methodological implications of induction and probability.

In lieu of an abstract, here is a brief excerpt of the content: Hume's Skepticism about Inductive Inference N. SCOTT ARNOLD IT HAS BEEN A COMMONPLACE among commentators on Hume's philosophy that he was a radical skeptic about inductive inference. In addition, he is alleged to have been the first philosopher to pose the so-called problem of induction. Until recently, however, Hume's argument in this connection has not been subject to very close scrutiny. As attention has become (...) focused on this argument, a debate has been shaping up concerning just what Hume intended to establish here. The principal purpose of this article is to settle this interpretive issue as decisively as the texts permit. I should also like to locate Hume's main argument about induction in the larger context of his discussion of skepti- cism in book 1 of the Treatise. I shall suggest that arguments for the radical skepticism commonly attributed to Hume can be found only very late in book 1 of the Treatise and that the most famous argument about inductive inference establishes and is intended to establish only a relatively modest form of skepticism. The argument under consideration can found in book l, part 3, section 6 of the Treatise. It can also be found in essays 4 and 5 of the Enquiries and in the abstract of the Treatise published anonymously by Hume. I shall concen- trate on the Treatise version since it is the first and perhaps most explicit formulation of the argument and because part of my purpose is to place this argument in the larger context of book 1 of the Treatise. The received opinion concerning Hume's argument has it that Hume was highly skeptical about the mind's claims to knowledge about the future (or, more generally, about the unobserved). All beliefs arrived at via inductive I should like to thank M. G. Anderson, John Bahde, Jon Nordy, and Robert Paul Wolff, as well as David Fate Norton and a referee for the Journal of the History of Philosophy, for helpful comments on earlier drafts on this article. 32 HISTORY OF PHILOSOPHY inferences are unreasonable or unjustified. The alternative interpretation, to be defended below, is that Hume held that no such belief is or can be rendered certain relative to past experience and that such beliefs are not, upon that account, unreasonable or unjustified. Something like this inter- pretation has been defended by Tom L. Beauchamp, Thomas Mappes, and Alexander Rosenberg. ~ My view differs from theirs in that I shall argue that Hume did offer arguments for the more radical skepticism commonly attri- buted to him (though it is unclear whether he regarded them as decisive). These arguments, however, come at the end of book ~ of the Treatise and are independent of the more famous argument to be discussed below. Defenders of the received view are both numerous and distinguished. Versions of this interpretation of the main argument can be found in the writings of Karl Popper, Wesley Salmon, F. L. Will, and Norman Kemp Smith; most recently a variation on the standard interpretation has been defended by Barry Stroud. The fullest and most elaborate defense of the standard interpretation can be found in a monograph by D. C. Stove. '~ Stove's discussion is perhaps the most impressive because of his painstaking efforts to lay bare the structure of Hume's reasoning and to give a line-by- line analysis of the argument. This has the effect of bringing more clearly into focus the main grounds for the standard view. If this standard interpre- tation is correct, then Hume's position is that scientific method is epistemically no better than "superstition" and "enthusiasm." And, Hume would be among those for whom this claim, if true, would be very bad news, because one of his primary purposes in the Treatise is to construct a science of man. Thus, this argument is of considerable internal significance because, if my opponents are correct, Hume appears to have cut the ground out from under what he took to be one of his most important projects -- the construc- tion of a science of man. The other feature of this argument that makes it worthy of serious con- sideration is that it is philosophically... (shrink)

Since the mid-1970s, scholars have recognized that the skeptical interpretation of Hume’s central argument about induction is problematic. The science of human nature presupposes that inductive inference is justified and there are endorsements of induction throughout Treatise Book I. The recent suggestion that I.iii.6 is confined to the psychology of inductive inference cannot account for the epistemic flavor of its claims that neither a genuine demonstration nor a non-question-begging inductive argument can establish the uniformity principle. For Hume, (...) that inductive inference is justified is part of the data to be explained. Bad argument is therefore excluded as the cause of inductive inference; and there is no good argument to cause it. Does this reinstate the problem of induction, undermining Hume’s own assumption that induction is justified? It does so only if justification must derive from “reason”, from the availability of a cogent argument. Hume rejects this internalist thesis; induction’s favorable epistemic status derives from features of custom, the mechanism that generates inductive beliefs. Hume is attracted to this externalist posture because it provides a direct explanation of the epistemic achievements of children and non-human animals—creatures that must rely on custom unsupplemented by argument. (shrink)

In the first section, five major attempts to solve the problem of induction and their failures are discussed. In the second section, an account of meta-induction is introduced. It offers a novel solution to the problem of induction, based on mathematical theorems about the predictive optimality of attractivity-weighted meta-induction. In the third section, how the a priori justification of meta-induction provides a non-circular a posteriori justification of object-induction, based on its superior track record, is explained. In the fourth section, four (...) important extensions and refinements of the method of meta-induction are presented. The final section, summarizes the major impacts of the program of meta-induction for epistemology, the philosophy of science and cognitive science. (shrink)

Pyrrho of Elis followed Alexander into the Indus Valley where he contracted the skepticism which has ever since goaded Western thought. In this masterful study of the limits of human knowledge, D. P. Chattopadhyaya, one of India's brightest philosophical lights, revitalizes the westward flow of skepticism by putting our major epistemologies and philosophies of science to the test of his "anthropological rationalism". Often echoing Western pragmatists as well as Indians like Nägärjuna and Samkara, he sustains fallibilism, "localized holism", (...) truth as phenomenological disclosure, and moderate realism. (shrink)

My aim in this paper is to explain how universal statements, as they occur in scientific theories, are actually tested by observational evidence, and to draw certain conclusions, on that basis, about the way in which scientific theories are tested in general. 1 But I am pursuing that aim, ambitious enough in and of itself, in the service of even more ambitious projects, and in the first place: (a) to say what is distinctive about modern science, and especially modern physical (...) science, as a human intellectual activity; and (b) to show how this distinctiveness explains the unique status of modern science in human intellectual life. So I will begin by saying a few words about that larger project. One might doubt, first, whether that project is legitimate. Although everything is different from everything else, the question “What is distinctive about X?” is not necessarily well put, because X may not be anything—that is, anything distinct. And there are indeed many philosophers, otherwise of the most diverse intellectual backgrounds and tendencies, who would deny, in various ways, that modern science is a distinct thing, or that its status is unique. It seems to me that they deny something terrifyingly obvious— a fact which confronts us far more urgently than the fact that, say, ravens are black. I will put off further remarks about this until the end of the paper, however, because the discussion of my more limited present aim will focus precisely on the ways to tell when a question is well put, and whether there is such a (distinct) thing as X. That one’s methodological problems are also the subject of one’s investigation is a sign that that investigation is philosophical, although (or because) also a threat to its coherence. Second, some points about methodology. I am not a sociologist, or even a historian, nor (unlike some recent philosophers of science) will I pretend to be.. (shrink)

The classical Indian Cārvāka (“Materialist”) tradition contains three branches with regard to the means of knowledge (pramāṇas). First, the standard Cārvākas accept a single means of knowledge, perception, supporting this view with a critique of the reliability and coherence of inference (anumāna). Second, the “more educated” Cārvākas as well as Purandara endorse a form of inference limited to empirical matters. Third, radical skeptical Cārvākas like Jayarāśi attempt to undermine all accounts or technical definitions of the means of knowledge (even perception) (...) in order to enjoy a life free from philosophical and religious speculation. These branches respectively present something akin to David Hume’s problem of induction, endorse a fallibilistic, mitigated skepticism, and embody a thoroughgoing skepticism about philosophy itself. While all three branches are skeptics about religious matters, each branch exemplifies a different variety of epistemological skepticism. (shrink)

Philosophy and Phenomenological Research, Volume 104, Issue 2, Page 434-453, March 2022.

Views which deny that there are necessary connections between distinct existences have often been criticized for leading to inductive skepticism. If there is no glue holding the world together then there seems to be no basis on which to infer from past to future. However, deniers of necessary connections have typically been unconcerned. After all, they say, everyone has a problem with induction. But, if we look at the connection between induction and explanation, we can develop the problem (...) of induction in a way that hits deniers of necessary connections, but not their opponents. The denier of necessary connections faces an `internal' problem with induction -- skepticism about important inductive inferences naturally flows from their position in a way that it doesn't for those who accept necessary connections. This is a major problem, perhaps a fatal one, for the denial of necessary connections. (shrink)

Many philosophers have been attracted to a restricted version of the principle of indifference in the case of self-locating belief. Roughly speaking, this principle states that, within any given possible world, one should be indifferent between different hypotheses concerning who one is within that possible world, so long as those hypotheses are compatible with one’s evidence. My first goal is to defend a more precise version of this principle. After responding to several existing criticisms of such a principle, I argue (...) that existing formulations of the principle are crucially ambiguous, and I go on to defend a particular disambiguation of the principle. According to the disambiguation I defend, how we should apply this restricted principle of indifference sensitively depends on our background metaphysical beliefs. My second goal is to apply this disambiguated principle to classical skeptical problems in epistemology. In particular, I argue that Eternalism threatens to lead us to external world skepticism, and Modal Realism threatens to lead us to inductive skepticism. (shrink)

A necessary refinement of the concept of circular reasoning is applied to the self-and-universally-referential inductive justification of induction. It is noted that the assumption necessary for the circular proof of a principle of induction is that one inference is valid, not that the entire principle or rule of induction governing that inference is true. The circularity in an ideal case is demonstrated to have a value of lin where n represents the number of inferences asserted valid by the conclusion (...) of the justifying argument, and the ‘I’ represents the inference necessarily assumed valid.An induction antinomy modeled after Russell’s antinomy of the set of all and only non-self-containing sets is derived. Isomorphic antinomies are noted to be derivable for other arguments of philosophical interest, including those purported to undermine theories of determinism, relativism, and skepticism, and including the one that Descartes reduced and converted to ‘Cogito, ergo sum’. (shrink)

A necessary refinement of the concept of circular reasoning is applied to the self-and-universally-referential inductive justification of induction. It is noted that the assumption necessary for the circular proof of a principle of induction is that one inference is valid, not that the entire principle or rule of induction governing that inference is true. The circularity in an ideal case is demonstrated to have a value of lin where n represents the number of inferences asserted valid by the conclusion (...) of the justifying argument, and the ‘I’ represents the inference necessarily assumed valid.An induction antinomy modeled after Russell’s antinomy of the set of all and only non-self-containing sets is derived. Isomorphic antinomies are noted to be derivable for other arguments of philosophical interest, including those purported to undermine theories of determinism, relativism, and skepticism, and including the one that Descartes reduced and converted to ‘Cogito, ergo sum’. (shrink)

An apparently increasing number of philosophers take free will skepticism to pose a serious challenge to some of our practices. This must seem odd to many—why should anyone think that free will skepticism is relevant for our practices, when nobody seems to think that other canonical forms of philosophical skepticism are relevant for our practices? Part of the explanation may be epistemic, but here I focus on a metaethical explanation. Free will skepticism is special because it (...) is compatible with ‘basic moral reasons’—moral reasons acknowledged by all mainstream ethicists—and other minds and induction skepticism are not. One example is our reason not to intentionally harm others. Practical seriousness about other minds and induction skepticism undermines this reason, but practical seriousness about free will skepticism only undermines a potential overrider of this reason, that is, the reason of retribution. (shrink)

Studies on so-called Change Blindness and Inattentional Blindness have been taken to establish the claim that conscious perception of a stimulus requires the attentional processing of that stimulus. One might contend, against this claim, that the evidence only shows attention to be necessary for the subject to have access to the contents of conscious perception and not for conscious perception itself. This “Methodological Argument” is gaining ground among philosophers who work on attention and consciousness, such as Christopher Mole. I find (...) that, without the supporting evidence of inaccessible consciousness, this argument collapses into an indefensible form of inductive parsimony. The Methodological Argument is thus shown to be unsuccessful when used against the claim that attention is required for conscious perception, though I suggest that it may be successful against the more ambitious claim that attention is necessary for all conscious experience. (shrink)

This book presents and analyzes the most important arguments in the history of Western philosophy's skeptical tradition. It demonstrates that, although powerful, these arguments are quite limited and fail to prove their core assertion that knowledge is beyond our reach. Argues that skepticism is mistaken and that knowledge is possible Dissects the problems of realism and the philosophical doubts about the accuracy of the senses Explores the ancient argument against a criterion of knowledge, Descartes' skeptical arguments, and skeptical arguments (...) applied to inductive inference and self-knowledge Uses Moore's proof of an external world and the reliabilist conception of knowledge to illustrate that the traditional skeptical arguments fail to meet their mark. (shrink)

The aim of this paper is to address the neglected but important problem of differentiating between epistemically beneficial and epistemically detrimental dissent. By “dissent,” we refer to the act of objecting to a particular conclusion, especially one that is widely held. While dissent in science can clearly be beneficial, there might be some instances of dissent that not only fail to contribute to scientific progress, but actually impede it. Potential examples of this include the tobacco industry’s funding of studies that (...) questioned the link between smoking and lung cancer, and the attempt by the petroleum industry and other groups to cast doubt upon the conclusion that human consumption of fossil fuels contributes to global climate change. The problem of distinguishing between good and bad dissent is important because of the growing tendency of some stakeholders to attempt to delay political action by ’manufacturing doubt’. Our discussion in this paper focuses on climate science. This field, in our view, is rife with instances of bad dissent. On the basis of our discussion of climate science, we articulate a set of sufficient conditions for epistemically problematic dissent in general, which we call “the inductive risk account of epistemically detrimental dissent.”. (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 ncorrectly 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)

Is it possible to have moral knowledge? ‘Moral justification skeptics’ hold it is not, because moral beliefs cannot have the sort of epistemic justification necessary for knowledge. This skeptical stance can be summed up in a single, neat argument, which includes the premise that ‘Inductive arguments from non-moral premises to moral conclusions are not possible.’ Other premises in the argument may rejected, but only at some cost. It would be noteworthy, therefore, if ‘inductive inferentialism’ about morals were shown (...) to be at least possible. Some philosophers may suppose that inductive moral arguments from non-moral premises cannot get off the ground, but I show that a perfectly legitimate inductive moral argument exists. This argument has non-moral premises and a moral conclusion, its premises are related to its conclusion in the right way, and it avoids some of the problems of other, better-known arguments from ‘Is’ to ‘Ought’. (shrink)

This book develops new techniques in formal epistemology and applies them to the challenge of Cartesian skepticism. It introduces two formats of epistemic evaluation that should be of interest to epistemologists and philosophers of science: the dual-component format, which evaluates a statement on the basis of its safety and informativeness, and the relative-divergence format, which evaluates a probabilistic model on the basis of its complexity and goodness of fit with data. Tomoji Shogenji shows that the former lends support to (...) Cartesian skepticism, but the latter allows us to defeat Cartesian skepticism. Along the way, Shogenji addresses a number of related issues in epistemology and philosophy of science, including epistemic circularity, epistemic closure, and inductive skepticism. (shrink)

JOURNAL OF THE HISTORY OF PHILOSOPHY PRIZE for the best published book in the history of philosophy [Awarded in 2010] _______________ -/- Although it is widely recognized that David Hume's A Treatise of Human Nature (1739-40) belongs among the greatest works of philosophy, there is little agreement about the correct way to interpret his fundamental intentions. It is an established orthodoxy among almost all commentators that skepticism and naturalism are the two dominant themes in this work. The difficulty has (...) been, however, that Hume's skeptical arguments and commitments appear to undermine and discredit his naturalistic ambition to contribute to "the science of man". This schism appears to leave his entire project broken-backed. The solution to this riddle depends on challenging another, closely related, point of orthodoxy: namely, that before Hume published the Treatise he removed almost all material concerned with problems of religion. Russell argues, contrary to this view, that irreligious aims and objectives are fundamental to the Treatise and account for its underlying unity and coherence. It is Hume's basic anti-Christian aims and objectives that serve to shape and direct both his skeptical and naturalistic commitments. When Hume's arguments are viewed from this perspective we can solve, not only puzzles arising from his discussion of various specific issues, we can also explain the intimate and intricate connections that hold his entire project together. This "irreligious" interpretation provides a comprehensive fresh account of the nature of Hume's fundamental aims and ambitions in the Treatise. It also presents a radically different picture of the way in which Hume's project was rooted in the debates and controversies of his own time, placing the Treatise in an irreligious or anti-Chrisitan philosophical tradition that includes Hobbes, Spinoza and freethinking followers. Considered in these terms, Hume's Treatise constitutes the crowning achievement of the Radical Enlightenment. (shrink)

This chapter presents a new semantics for inductive empirical knowledge. The epistemic agent is represented concretely as a learner who processes new inputs through time and who forms new beliefs from those inputs by means of a concrete, computable learning program. The agent’s belief state is represented hyper-intensionally as a set of time-indexed sentences. Knowledge is interpreted as avoidance of error in the limit and as having converged to true belief from the present time onward. Familiar topics are re-examined (...) within the semantics, such as inductive skepticism, the logic of discovery, Duhem’s problem, the articulation of theories by auxiliary hypotheses, the role of serendipity in scientific knowledge, Fitch’s paradox, deductive closure of knowability, whether one can know inductively that one knows inductively, whether one can know inductively that one does not know inductively, and whether expert instruction can spread common inductive knowledge—as opposed to mere, true belief—through a community of gullible pupils. (shrink)

This essay defends the view that inductive reasoning involves following inductive rules against objections that inductive rules are undesirable because they ignore background knowledge and unnecessary because Bayesianism is not an inductive rule. I propose that inductive rules be understood as sets of functions from data to hypotheses that are intended as solutions to inductive problems. According to this proposal, background knowledge is important in the application of inductive rules and Bayesianism qualifies as (...) an inductive rule. Finally, I consider a Bayesian formulation of inductive skepticism suggested by Lange. I argue that while there is no good Bayesian reason for judging this inductive skeptic irrational, the approach I advocate indicates a straightforward reason not to be an inductive skeptic. (shrink)

This article develops an axiomatic theory of induction that speaks to the recent debate on Bayesian orgulity. It shows the exact principles associated with the belief that data can corroborate universal laws. We identify two types of disbelief about induction: skepticism that the existence of universal laws of nature can be determined empirically, and skepticism that the true law of nature, if it exists, can be successfully identified. We formalize and characterize these two dispositions toward induction by introducing (...) novel axioms for subjective probabilities. We also relate these dispositions to the axiom of σ-additivity. (shrink)

In this article I investigate a neglected form of radical skepticism that questions whether any of our logical, mathematical and other seemingly self-evident beliefs count as knowledge. ‘A priori skepticism,’ as I will call it, challenges our ability to know any of the following sorts of propositions: (1.1) The sum of two and three is five. (1.2) Whatever is square is rectangular. (1.3) Whatever is red is colored. (1.4) No surface can be uniformly red and uniformly blue at (...) the same time. (1.5) If ‘if p then q’ is true and ‘p’ is true, then ‘q’ is true. (1.6) No statement can be both true and false at the same time and in the same respect. (1.7) If A is taller than B, and B is taller than C, then A is taller than C. (1.8) Everything is identical to itself. (1.9) If the conclusion of an inductive argument is contingent, it is possible for the premises of that argument to be true and its conclusion to be false. (1.10) George W. Bush could have been a plumber. (1.11) George W. Bush could not have been a prime number. (1.12) ‘2 + 3 = 5’ is necessarily true. (shrink)

According to David Hume, the concept of causation and probability are to be understood in terms of the concepts of similarity and repetition. In this book, it is shown that they are to be understood in terms of the concept of continuity. One corollary is that there is no legitimate basis for skepticism concerning the legitimacy of inductive inference. Another is that anti-realism about theoretical entities is misconceived.

This book aims to discuss probability and David Hume's inductive scepticism. For the sceptical view which he took of inductive inference, Hume only ever gave one argument. That argument is the sole subject-matter of this book. The book is divided into three parts. Part one presents some remarks on probability. Part two identifies Hume's argument for inductive scepticism. Finally, the third part evaluates Hume's argument for inductive scepticism. Hume's argument that induction must be either deductively valid (...) or circular because based on experience neglects the possibility that it is an argument of non-deductive logic (logical probability, in the sense of Keynes). (shrink)

Jin Yuelin (1895?1984), a Chinese logician and philosopher, is greatly influenced by Hume's and Russell's philosophies. How should we respond to Hume's problem of induction? This is an important clue to understand Jin's whole philosophical career. The first section of this paper gives a brief historical review of Russell and Jin. The second section outlines Hume's skeptical arguments against causality and induction. The third section expounds Russell's justification of induction by discussing his views on Hume's skepticism, causality, principle of (...) induction, and empirical postulates. The fourth section clarifies Jin's justification of induction by discussing his critique of Hume's epistemology and his arguments for the reliability of causality and the eternal truth and apriority of the principle of induction. The final section compares Jin's justification of induction with Russell's and concludes that there are similarities and differences between their projects and that both their attempts fail. This paper takes the similar responses to the problem of induction by Jin and Russell to demonstrate the communication that there has been between Chinese philosophers and the Western ones. (shrink)

My topic is moderate modal skepticism in the spirit of Peter van Inwagen. Here understood, this is a conservative version of modal empiricism that severely limits the extent to which an ordinary agent can reasonably believe “exotic” possibility claims. I offer a novel argument in support of this brand of skepticism: modal skepticism grounds an attractive (and novel) reply to Humean skepticism. Thus, I propose that modal skepticism be accepted on the basis of its theoretical (...) utility as a tool for dissolving philosophical paradox. (shrink)

Graciela De Pierris presents a novel interpretation of the relationship between skepticism and naturalism in Hume's epistemology, and a new appraisal of Hume's place within early modern thought. Contrary to dominant readings, she argues that Hume does offer skeptical arguments concerning causation and induction in Book I, Part III of the Treatise, and presents a detailed reading of the skeptical argument she finds there and how this argument initiates a train of skeptical reasoning that begins in Part III and (...) culminates in Part IV. She goes on to demonstrate that Hume was committed to the Newtonian inductive method while rejecting the place of the supernatural in our understanding of nature. (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)

This paper examines naturalized epistemology's prospects for dealing with Cartesian skepticism and the traditional problem of induction. It is argued that Quine's approach fails to satisfy the skeptic who does not already embrace some version of scientific method. In addition, it is argued that Goldman's reliabilism enables one to address these issues empirically only if one rejects the view that if we are capable of confirming an empirical hypothesis, we are also capable of disconfirming it. The article ends with (...) a negative appraisal of the role relevant alternatives play in Goldman's account, particularly with regard to second order knowledge. (shrink)

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