Impossible objects∗

This paper deals with the Meinong‐Russell controversy on nonsubsistent objects. The first part notes the similarity of certain contemporary semantical developments to Meinonj;'s theory of nonsubsistent objects. Then it lays out the major features of Meinong's famous theory, considers Russell's objections to same and Meinong's counter‐objections to Russell, and argues that Russell's well‐known argument fails. However, it is possible to augment Russell's argument against Meinong with sound Russellian principles in such a way that it presents at least a strong inclining reason against Meinong's theory of impossible objects.     

On Russell's vulnerability to Russell's paradox

Influenced by G. E. Moore, Russell broke with Idealism towards the end of 1898; but in later years he characterized his meeting Peano in August 1900 as ‘the most important event’ in ‘the most important year in my intellectual life’. While Russell discovered his paradox during his post-Peano period, the question arises whether he was already committed, during his pre-Peano Moorean period, to assumptions from which his paradox may be derived. Peter Hylton has argued that the pre-Peano Russell was thus vulnerable to (at least one version of) Russell's paradox and hence that the paradox exposes a pre-existing difficulty in Russell's Moorean philosophy. Contrary to Hylton, I argue that the Moorean Russell adhered to views which insulated him against the paradox. Further, I argue that Russell became vulnerable to his paradox as a result of changes in his Moorean position occasioned, first, by his acceptance of Cantor's theory of the transfinite, and, second, by his correspondence with Frege. I conclude with some general comments regarding Russell's acceptance of naïve set theory.     

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.     

Paradigms and Russell's Resemblance Regress

Resemblance Nominalism is the view that denies universals and tropes and claims that what makes F-things F is their resemblances. A famous argument against Resemblance Nominalism is Russell's regress of resemblances, according to which the resemblance nominalist falls into a vicious infinite regress. Aristocratic Resemblance Nominalism, as opposed to Egalitarian Resemblance Nominalism, is the version of Resemblance Nominalism that claims that what makes F-things F is that they resemble the F-paradigms. In this paper I attempt to show that a recently advocated strategy to stop Russell's regress by using paradigms does not succeed.     

Two Russellian Arguments for Acquaintance

Bertrand Russell [1912] argued that we are acquainted with our experiences. Although this conclusion has generated a lot of discussion, very little has been said about Russell's actual arguments for it. This paper aims to remedy that. I start by spelling out two Russellian arguments for acquaintance. Then I show that these arguments cannot both succeed. For if one is sound, the other isn't. Finally, I weigh our options with respect to these arguments, and defend one option in particular. I argue that we have good reason to believe that we can be, and sometimes are, acquainted with our experiences.     

The truth and nothing but the truth,yet never the whole truth: Frege,Russell and the analysis of unities

It is widely assumed that Russell's problems with the unity of the proposition were recurring and insoluble within the framework of the logical theory of his Principles of Mathematics. By contrast, Frege's functional analysis of thoughts (grounded in a type-theoretic distinction between concepts and objects) is commonly assumed to provide a solution to the problem or, at least, a means of avoiding the difficulty altogether. The Fregean solution is unavailable to Russell because of his commitment to the thesis that there is only one ultimate ontological category. This, combined with Russell's reification of propositions, ensures that he must hold concepts and objects to be of the same logical and ontological type. In this paper I argue that, while Frege's treatment of the unity of the proposition has immediate advantages over Russell's, a deeper consideration of the philosophical underpinnings and metaphysical consequences of the two approaches reveals that Frege's supposed solution is, in fact, far from satisfactory. Russell's repudiation of the Fregean position in the Principles is, I contend, convincing and Russell's own position, despite its problems, conforms to a greater extent than Frege's with common sense and, furthermore, with certain ideas which are central to our understanding of the origins of the analytical tradition.     

TILLICHIAN TELEODYNAMICS: AN EXAMINATION OF THE MULTIDIMENSIONAL UNITY OF EMERGENT LIFE

Abstract Emergence theory has generated many significant new questions for dialogue between theology and science. My work will examine the models of one emergence theorist, Terrence Deacon, and consider the constructive potential of Tillich's multidimensional unity of life for responding to the theological ramifications of this account of emergence theory. Such a Tillich‐inspired constructive process will rely upon Robert Russell's method of “Creative Mutual Interaction.” Building on the interactive quality of Russell's method, I will also begin to offer suggestions for how Tillich's theological themes might influence scientific research programs using Deacon's emergence theory by contributing to the process of defining life. Finally, I will conclude by identifying three facets of continued research that stem from this analysis, focusing primarily on its implications for theological anthropology and what it means to be in the image of God.     

Discriminatory Capacities,Russell's Principle,and the Importance of Losing Sight of Objects

What capacities for discrimination must a subject possess in order to entertain singular thoughts? Evans has suggested that a subject must be able to discriminate his referent from all other entities in order to be able to do so; what he calls Russell's Principle. Evans' view has few followers, and he has been repeatedly accused of presenting no argument in its favour. In this paper I present what I take to be Evans' argument. I suggest that he has been misinterpreted as introducing Russell's Principle for the purpose of fixing reference. Rather, he introduces it in order to ensure that our conceptual capacities have the functional complexity to allow for objective thought. I suggest that the logical types of our thought are constituted by their inferential potential and argue that, even though singular thought may be possible without the satisfaction of Russell's Principle, singular thought that forms part of an objective world view is not.     

The Platonic model: statement,clarification and defense

I defend Gary Watson's Platonic Model of free agency against two arguments by counterexample, one by J. David Velleman and the other by Michael Bratman. I claim that these arguments are unconvincing for three reasons. First, they do not accurately target the Platonic Model. Second, they do not convincingly present cases of self-governed action. Third, they call attention to issues about theoretical commitments that are not fit to be settled by appeal to cases. On the basis of this discussion, I draw some general lessons for the debate about which theory of self-governance is the best.     

On disagreement about perception

In this article I have tried to rebut certain types of arguments which purport to show not merely that God does not exist but that the notion of necessary existence is itself either self‐contradictory or senseless. In showing that it is not self‐contradictory I have allowed myself the luxury of a negative and a positive approach. Negatively, I have had to show that when the accusation of self‐contradiction is made, it is often accompanied, not by an argument but by a sheer assertion. On the rare occasions when an argument is forthcoming, the arguments, I have tried to show, have been invalid, not even, inconclusive. And to the extent that Kant may be said to have argued not simply the impossibility of a genuine proof of the existence of God, but indeed the impossibility of the concept of necessary existence, I have argued out the weakness of Kant's arguments, the most notable of which I have discussed in some detail. Finally, to establish the genuineness of the concept of necessary existence, positively, I have paradoxically made use of a notion from Russell's logic.     

Russell on specific and universal relations: the principles of mathematics, §55

In this paper we consider the arguments Russell uses in The principies of mathematics, §55 to establish the view that all relations are universals. These arguments are shown to be defective. Finally, we consider the connection between Russell's view of relations and wider aspects of his philosophy—in particular, his theories of reference and truth and the gradual break-down of his absolute realism.     

Leon Chwistek,The Principles of the Pure Type Theory (1922), translated by Adam Trybus with an Introductory Note by Bernard Linsky

‘The Principles of the Pure Type Theory’ is a translation of Leon Chwistek's 1922 paper ‘Zasady czystej teorii typów’. It summarizes Chwistek's results from a series of studies of the logic of Whitehead and Russell's Principia Mathematica which were published between 1912 and 1924. Chwistek's main argument involves a criticism of the axiom of reducibility. Moreover, ‘The Principles of the Pure Type Theory’ is a source for Chwistek's views on an issue in Whitehead and Russell's ‘no-class theory of classes’ involving the notion of ‘scope’.     

Kant on Intentionality,Magnitude, and the Unity of Perception

This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's views on these issues. I then develop, in Section 2, a detailed analysis of Kant's theory of perception as elaborated in both the Critique of Pure Reason and the Critique of Judgment; I show how this analysis provides a preliminary framework for resolving the difficulties raised in Section 1. In Section 3, I extend my analysis of Kant's position by considering a specific test case: the Axioms of Intuition. I contend that one way to make sense of Kant's argument is by juxtaposing it with Russell's response to Bradley's regress; I focus in particular on the concept of ‘unity’. Finally, I offer, in Section 4, a philosophical assessment of the position attributed to Kant in Sections 2 and 3. I argue that, while Kant's account has significant strengths, a number of key areas remain underdeveloped; I suggest that the phenomenological tradition may be read as attempting to fill precisely those gaps.