Debunking,supervenience, and Hume’s Principle

ABSTRACT

Debunking arguments against both moral and mathematical realism have been pressed, based on the claim that our moral and mathematical beliefs are insensitive to the moral/mathematical facts. In the mathematical case, I argue that the role of Hume’s Principle as a conceptual truth speaks against the debunkers’ claim that it is intelligible to imagine the facts about numbers being otherwise while our evolved responses remain the same. Analogously, I argue, the conceptual supervenience of the moral on the natural speaks presents a difficulty for the debunker’s claim that, had the moral facts been otherwise, our evolved moral beliefs would have remained the same.     

Finitude and Hume’s Principle

The paper formulates and proves a strengthening of Freges Theorem, which states that axioms for second-order arithmetic are derivable in second-order logic from Humes Principle, which itself says that the number of Fs is the same as the number ofGs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. Finite Humes Principle also suffices for the derivation of axioms for arithmetic and, indeed, is equivalent to a version of them, in the presence of Freges definitions of the primitive expressions of the language of arithmetic. The philosophical significance of this result is also discussed.     

Naturalism,Experience, and Hume’s ‘Science of Human Nature’

Abstract

A standard interpretation of Hume’s naturalism is that it paved the way for a scientistic and ‘disenchanted’ conception of the world. My aim in this paper is to show that this is a restrictive reading of Hume, and it obscures a different and profitable interpretation of what Humean naturalism amounts to. The standard interpretation implies that Hume’s ‘science of human nature’ was a reductive investigation into our psychology. But, as Hume explains, the subject matter of this science is not restricted to introspectively accessible mental content and incorporates our social nature and interpersonal experience. Illuminating the science of human nature has implications for how we understand what Hume means by ‘experience’ and thus how we understand the context of his epistemological investigations. I examine these in turn and argue overall that Hume’s naturalism and his science of man do not simply anticipate a disenchanted conception of the world.     

Mental powers and the soul in Kant’s Subjective Deduction and the Second Paralogism

Kant’s claim in the Subjective Deduction that we have multiple fundamental mental powers appears to be susceptible to some a priori metaphysical arguments made against multiple fundamental mental powers by Christian Wolff who held that these powers would violate the unity of thought and entail that the soul is an extended composite. I argue, however, that in the Second Paralogism and his lectures on metaphysics, Kant provides arguments that overcome these objections by showing that it is possible that a composite could ground the unity of thought, that properties are powers and therefore the soul could possess multiple powers, and the soul is a thing in itself so it cannot be an extended composite. These arguments lend additional support to the attribution of multiple mental powers to us in the Subjective Deduction.     

Benjamin’s Children’s Theater and the Problem of Pure Means

Studies in Philosophy and Education -     

Hume’s Solution of the Goodman Paradox and the Reliability Riddle (Mill’s problem)

Many solutions of the Goodman paradox have been proposed but so far no agreement has been reached about which is the correct solution. However, I will not contribute here to the discussion with a new solution. Rather, I will argue that a solution has been in front of us for more than two hundred years because a careful reading of Hume’s account of inductive inferences shows that, contrary to Goodman’s opinion, it embodies a correct solution of the paradox. Moreover, the account even includes a correct answer to Mill’s question of why in some cases a single instance is sufficient for a complete induction, since Hume gives a well-supported explanation of this reliability phenomenon. The discussion also suggests that Bayesian theory by itself cannot explain this phenomenon. Finally, we will see that Hume’s explanation of the reliability phenomenon is surprisingly similar to the explanation given lately by a number of naturalistic philosophers in their discussion of the Goodman paradox.     

Whence avidity? Hume’s psychology and the origins of justice

Hume’s account of the roots of justice focuses on the need to secure possession against the corrosive effects of unrestrained avidity. The reasons for this focus lie deep in his understanding of human psychology, especially, the mimetic passions shaped by the principles of sympathy, social referencing, and reversal comparison. The need for esteem drives human beings to attach their pride to those things they think are especially valued by those whom they especially admire. Most predominant among these goods are riches and possessions. Intense competition for these scarce goods puts the material and psychological survival of all in jeopardy. Conventions of justice are needed to civilize and channel avidity, transforming it from open and deadly violence and secret envy and malice into productive and public emulation.     

Hume’s theory of justice and Vanderschraaf’s vulnerablity objection

Philosophical Studies -     

Hume’s reconciling project and ‘the common distinction betwixt moral and physical necessity’

John Locke's earliest significant publications appeared between 1686 and 1688 in the Bibliothèque universelle et historique. They were a translation of his New Method of a Commonplace Book, an abridgment of his (as yet unpublished) Essay Concerning Human Understanding, and two reviews, of a medical work by Robert Boyle, and Isaac Newton's Principia. It is likely that he contributed some other book reviews, but these cannot now be identified. An examination of surviving copies of the Bibliothèque universelle et historique shows that it had a very complicated printing history, and both the volumes (tom. 2 and tom. 8) that certainly contain items by Locke were reprinted on several occasions, in some cases in editions that probably have false dates and imprints. Though this article concentrates mainly on the two volumes known to contain material by Locke, a preliminary survey of entire printing history of the journal has also been made, with the results presented in tabular form in Appendix I.     

Psychology, epistemology, and skepticism in Hume’s argument about induction

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.     

Hume’s Big Brother: counting concepts and the bad company objection

A number of formal constraints on acceptable abstraction principles have been proposed, including conservativeness and irenicity. Hume’s Principle, of course, satisfies these constraints. Here, variants of Hume’s Principle that allow us to count concepts instead of objects are examined. It is argued that, prima facie, these principles ought to be no more problematic than HP itself. But, as is shown here, these principles only enjoy the formal properties that have been suggested as indicative of acceptability if certain constraints on the size of the continuum hold. As a result, whether or not these higher-order versions of Hume’s Principle are acceptable seems to be independent of standard (ZFC) set theory. This places the abstractionist in an uncomfortable dilemma: Either there is some inherent difference between counting objects and counting concepts, or new criteria for acceptability will need to be found. It is argued that neither horn looks promising.     

Lewis,Wilson, Hume: A Response to Jessica Wilson on Lewisian Plenitude and Hume’s Dictum

According to David Lewis’s Modal Realism, other possible worlds really exist as concrete, spatiotemporal systems, and every way that a world could be is a way that some world is. To establish this plenitude of concrete possible worlds, Lewis presents his ‘principle of recombination,’ which is meant to guarantee that there exists a possible world, or part of a possible world, for every possibility. Jessica Wilson has recently argued that Lewis’s principle of recombination fails to generate enough worlds to account for the plenitude of possibilities. Namely, Wilson argues that the principle of recombination cannot account for the possibility of spatially overlapping but distinct fundamental entities, as well as certain macroscopic entities. In this paper, I will defend Lewis’s principle of recombination against these charges, arguing that Wilson’s objections overlook features of Lewisian metaphysics that can solve the problems at hand.     

Hume and the Problem of Paternalism: When is Humanity Sufficient?

Hume states that if a group of powerless, rational creatures lived amongst human beings, then humans would be required to treat this species with humanity but not with justice. Michael Ridge has argued that this implies humans would be required to engage in a morally dubious form of paternalism toward this imagined species. I argue that a proper understanding of why this imagined species is excluded from the scope of justice shows Hume has a plausible moral reason for requiring paternalism in this instance. The reason the imagined species is excluded is that they are incapable of feeling what I term “the pain of dependence,” or unease arising from complete dependence upon those who are more powerful. Those capable of the pain of dependence will have reason to resent exclusion from the scope of justice (and the accompanying susceptibility to paternalism). However, I contend that Hume did not think that the imagined species was capable of feeling the pain of dependence. This means that the imagined species would not consider themselves wronged when subject to paternalistic treatment, and, consequently, there is good reason to think the sort of paternalism that Hume's theory allows is not morally objectionable.