Justification of Induction: Russell and Jin Yuelin. A Comparative Study

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.     

Hume's Internalist Epistemology in EHU 12

Much has been written about Kemp Smith's (1941) famous problem regarding the tension between Hume's naturalism and his scepticism. However, most commentators have focused their attention on the Treatise; those who address the Enquiry often take it to express essentially the same message as the Treatise. When Hume's scepticism in the Enquiry has been investigated in its own right, commentators have tended to focus on Hume's inductive scepticism in Sections 4 and 5. All in all, it seems that Section 12 has been unduly neglected. This paper seeks to address Kemp Smith's problem from the standpoint of Hume's treatment of scepticism in EHU 12, and finds an interesting internalist account that makes sense both of Hume's discussion in EHU 12, and his aims in the Enquiry as a whole. Moreover, it is one that is of substantive philosophical interest, having intriguing parallels to contemporary epistemological accounts.     

Kant's Criticisms of Hume's Dialogues Concerning Natural Religion

According to recent commentators like Paul Guyer, Kant agrees with Hume's Dialogues Concerning Natural Religion (1) that physico-theology can never provide knowledge of God and (2) that the concept of God, nevertheless, provides a useful heuristic principle for scientific enquiry. This paper argues that Kant, far from agreeing with Hume, criticizes Hume's Dialogues for failing to prove that physico-theology can never yield knowledge of God and that Kant correctly views Hume's Dialogues as a threat to, rather than an anticipation of, his own view that the concept of God provides a useful heuristic principle for science. The paper concludes that Kant's critique of physico-theology reflects Kant's deep dissatisfaction with Hume's manner of argumentation and suggests that Kant's attempt to provide a more successful critique of physico-theology merits continued philosophical attention.     

Critical Notice: Paul Russell's The Riddle of Hume's Treatise: Skepticism,Naturalism, and Irreligion (OUP 2008)

In The Riddle of Hume's Treatise: Skepticism, Naturalism, and Irreligion (2008), Paul Russell makes a strong case for the claim that “The primary aim of Hume's series of skeptical arguments, as developed and distributed throughout the Treatise, is to discredit the doctrines and dogmas of Christian philosophy and theology with a view toward redirecting our philosophical investigations to areas of ‘common life,’ with the particular aim of advancing ‘the science of man’” (2008, 290). Understanding Hume in this way, according to Russell, sheds light on the “ultimate riddle” of the Treatise: “is it possible to reconcile Hume's (extreme) skeptical principles and conclusions with his aim to advance the ‘science of man’” (2008, 3)? Or does Hume's skepticism undermine his “secular, scientific account of the foundations of moral life in human nature” (290)? Russell's controversial thesis is that “the irreligious nature of Hume's fundamental intentions in the Treatise” is essential to solving the riddle (11). Russell makes a compelling case for Hume's irreligion as well as his atheism. Contrary to this interpretation I argue that Hume is an irreligious theist and not an atheist.     

Hume's Dual Criteria for Memory

In his brief treatment of memory, Hume characterizes memory using two kinds of criteria: ideas' phenomenal character and their correspondence to the past experiences from which they derived. These criteria have seemed so perplexing to interpreters, both individually and jointly, that Hume's account of memory is commonly considered one of the weakest parts of his philosophical system. This paper defends Hume's criteria by showing that they achieve two theoretical aims: a scientific classification of ideas and a definition of ‘memory.’ In particular, I argue that Hume's definition of ‘memory’ is cogent in light of Putnamian considerations about definitions.     

On Not Changing the Problem: A Reply to Howson

Howson's critique of my essay on Hume's problem of induction levels two main charges. First, Howson claims that I have attributed to him an error that he never made, and in fact which he warned against in the very text that I cite. Secondly, Howson argues that my proposed solution to Hume's problem is flawed on technical and philosophical grounds. In response to the first charge, I explain how Howson's text justifies attributing to him the claim that the principle of induction is shown to be inconsistent by Goodman's riddle. In regards to the second, I show that Howson's objections rest on misunderstandings of formal learning theory and on conflating the problem of induction with the problem of unconceived alternatives.     

Hume's Reflections on the Identity and Simplicity of Mind1

The article presents a new interpretation of Hume's treatment of personal identity, and his later rejection of it in the “Appendix” to the Treatise. Hume's project, on this interpretation, is to explain beliefs about persons that arise primarily within philosophical projects, not in everyday life. the belief in the identity and simplicity of the mind as a bundle of perceptions is an abstruse belief, not one held by the “vulgar” who rarely turn their minds on themselves so as to think of their perceptions. the author suggests that it is this philosophical observation of the mind that creates the problems that Hume finally acknowledges in the “Appendix.” He is unable to explain why we believe that the perceptions by means of which we observe our minds while philosophizing are themselves part of our minds. This suggestion is then tested against seven criteria that any interpretation of the “Appendix” must meet.     

ROCK BOTTOM: COHERENTISM'S SOFT SPOT

Often coherentism is taken to be the view that justification is solely a function of the coherence among a person's beliefs. I offer a counterexample to the idea that when so understood coherence is sufficient for justification. I then argue that the counterexample will still work if coherence is understood as coherence among a person's beliefs and experiences. I defend a form of nondoxastic foundationalism that takes sensations and philosophical intuitions as basic and sees nearly all other justification as depending on inference to the best explanation. I take up Wilfrid Sellars's Dilemma, which starts with the idea that the foundations must be either propositional in nature or not. The argument continues: if they are, they stand in need of justification; if they are not, they cannot confer justification. It concludes that there cannot be foundations that confer justification on other beliefs. I deny both horns of this dilemma, arguing that philosophical intuitions are propositional but do not stand in need of justification and that sensations are not propositional but can confer justification on perceptual beliefs.     

From Hume's Dictum Via Submergence to Composition as Identity or Mereological Nihilism

I show that a particular version of Hume's Dictum together with the falsity of Composition as Identity entails an incoherency, so either that version of Hume's Dictum is false or Composition as Identity is true. I conditionally defend the particular version of Hume's Dictum in play, and hence conditionally conclude that Composition as Identity is true. I end by suggesting an alternative way out for a persistent foe of Composition as Identity, namely mereological nihilism.     

Hume and the nominalist tradition

Many of the central theses of Hume's philosophy – his rejection of real relations, universals, abstract objects and necessary causal relations – had precedents in the later medieval nominalist tradition. Hume and his medieval predecessors developed complex semantic theories to show both how ontologies are apt to become inflated and how, if we understand carefully the processes by which meaning is generated, we can achieve greater ontological parsimony. Tracing a trajectory from those medieval traditions to Hume reveals Hume to be more radical, particularly in his rejection of abstraction and abstract ideas. Hume's denial of general, abstract ideas is consistent with his philosophical principles but fails to appreciate the more sophisticated nominalist approaches to abstraction, the result of which is a theoretically impoverished account of our capacity for generalization.     

Hume's Unified Theory of Mental Representation

On its face, Hume's account of mental representation involves at least two elements. On the one hand, Hume often seems to write as though the representational properties of an idea are fixed solely by what it is a copy or image of. But, on the other, Hume's treatment of abstract ideas (and other similar cases) makes it clear that the representational properties of a Humean idea sometimes depend, not just on what it is copied from, but also on the manner in which the mind associates it with other ideas. Past interpretations of Hume have tended to focus on one of these elements of his account to the neglect of the other. But no interpretation of this sort is likely to capture the role that both copying and association play within Hume's discussion. In what follows, I argue that the most plausible way of understanding Hume's discussion involves attributing to him a unified account of mental representation in which both of these elements play a central role. I close by discussing the manner in which reading Hume in this way would alter our understanding of the relationship between Hume's thought and contemporary philosophy of mind.     

Hume and Peirce on the Ultimate Stability of Belief

Louis Loeb has argued that Hume is pessimistic while Peirce is optimistic about the attainment of fully stable beliefs. In contrast, we argue that Hume was optimistic about such attainment but only if the scope of philosophical investigation is limited to first‐order explanatory questions. Further, we argue that Peirce, after reformulating the pragmatic maxim to accommodate the reality of counterfactuals, was pessimistic about such attainment. Finally, we articulate and respond to Peirce's objection that Hume's skeptical arguments in T 1.4.1 and his commitment to common sense indicate that Hume was confused about whether we could have stable beliefs at all.     

Frege's Cardinals Do Not Always Obey Hume's Principle

Hume's Principle, dear to neo-Logicists, maintains that equinumerosity is both necessary and sufficient for sameness of cardinal number. All the same, Whitehead demonstrated in Principia Mathematica's logic of relations (where non-homogeneous relations are allowed) that Cantor's power-class theorem entails that Hume's Principle admits of exceptions. Of course, Hume's Principle concerns cardinals and in Principia's ‘no-classes’ theory cardinals are not objects in Frege's sense. But this paper shows that the result applies as well to the theory of cardinal numbers as objects set out in Frege's Grundgesetze. Though Frege did not realize it, Cantor's power-theorem entails that Frege's cardinals as objects do not always obey Hume's Principle.     

Hume's nominalism and the Copy Principle

I consider some ways in which the Copy Principle (CP) and Hume's nominalism impinge on one another, arguing for the following claims. First, Hume's argument against indeterminate ideas isn't cogent even if the CP is accepted. But this does not vindicate Locke: the imagistic conception of ideas, presupposed by the CP, will force Locke to accept something like Hume's view of the way general terms function, the availability of abstract ideas notwithstanding. Second, Hume's discussion of nominalism provides support for the “old Hume” interpretation, that which takes the CP to be a criterion of meaningfulness, as against the “new Hume” reading, according to which it constrains what we can know. Finally, nominalism forces Hume to adopt a more complicated theory of ideas.     

The idea of the self in the evolution of Hume's account of the passions

Terence Penelhum has written extensively about the role of the idea of the self in Hume's account of the emotional and moral life of persons. Penelhum fails to notice, however, a change that takes place in the way that the idea of the self functions in Hume's account of the passions as that account evolved after the Treatise. This paper charts part of that evolution, and reflects on its significance for Hume's moral psychology.     

Hume on Miracles: Would It Take a Miracle to Believe in a Miracle?

Given Hume's theory of belief and belief production it is no small task to explain how it is possible for a belief in a miracle to be produced. I argue that belief in a miracle cannot be produced through Hume's standard causal mechanisms and that although education, passion, and testimony initially seem to be promising mechanisms for producing belief in a miracle, none of these is able to produce the belief in a miracle. I conclude by explaining how this poses a problem for Hume's theory of belief and I briefly investigate the alternatives available for solving this problem.     

Hume,a Scottish Locke? Comments on Terence Penelhum's Hume

Where Terence Penelhum sees a deep continuity between John Locke's theory of ideas and David Hume's theory of perceptions, I argue that the two philosophers disagree over some fundamental issues in the philosophy of mind. While Locke treats ideas as imagistic objects that we recognize as such by a special kind of inner consciousness, Hume thinks that we do not normally recognize the imagistic content of our perceptions, and instead unselfconsciously take ourselves to sense a shared public world. My disagreement with Penelhum over Hume's debt to Locke helps to explain our disagreement over the nature of Hume's scepticism.