Critical Notice: Peter Ludlow’s Living Words: Meaning Underdetermination and he Dynamic Lexicon,Oxford: Oxford University Press, 2014

A provocative view has it that word meanings are underdetermined and dynamic, frustrating traditional approaches to theorizing about meaning. Peter Ludlow’s Living Words provides some of the philosophical reasons and motivations for accepting one such view, develops some of its details, and explores some of its ramifications. We critically examine some of the arguments in Living Words, paying particular attention to some of Ludlow’s views about the meanings of predicates, preservation of bivalence and the T-schema, and methods of modulating meaning.     

Critical Notice: Thomas Sattig’s The Double Lives of Objects: An Essay in the Metaphysics of the ordinary world,Oxford: Oxford University Press, 2015

This critical notice describes some of Thomas Sattig’s book The Double Lives of Objects: An Essay in the Metaphysics of the Ordinary World and raises several critical issues about it.     

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’s Principle and Axiom V Reconsidered: Critical Reflections on Frege and His Interpreters

In this paper, I shall discuss several topics related to Frege’s paradigms of second-order abstraction principles and his logicism. The discussion includes a critical examination of some controversial views put forward mainly by Robin Jeshion, Tyler Burge, Crispin Wright, Richard Heck and John MacFarlane. In the introductory section, I try to shed light on the connection between logical abstraction and logical objects. The second section contains a critical appraisal of Frege’s notion of evidence and its interpretation by Jeshion, the introduction of the course-of-values operator and Frege’s attitude towards Axiom V, in the expression of which this operator occurs as the key primitive term. Axiom V says that the course-of-values of the function f is identical with the course-of-values of the function g if and only if f and g are coextensional. In the third section, I intend to show that in Die Grundlagen der Arithmetik (1884) Frege hardly could have construed Hume’s Principle (HP) as a primitive truth of logic and used it as an axiom governing the cardinality operator as a primitive sign. HP expresses that the number of Fs is identical with the number of Gs if and only if F and G are equinumerous. In the fourth section, I argue that Wright falls short of making a convincing case for the alleged analyticity of HP. In the final section, I canvass Heck’s arguments for his contention that Frege knew he could deduce the simplest laws of arithmetic from HP without invoking Axiom V. I argue that they do not carry conviction. I conclude this section by rejecting an interpretation concerning HP suggested by MacFarlane.     

Mathematical Intuition and Natural Numbers: A Critical Discussion Charles Parsons, Mathematical Thought and Its Objects, Cambridge University Press, New York, 2008, xx + 378?pp

Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 (Cambridge University Press, New York) is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic (“intuition” in the specific sense of Kant and Hilbert). Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. Parsons’ paradigmatic structure is the so-called ‘intuitive model’ of arithmetic realized by Hilbert’s strings of strokes. This paper argues that Hilbert’s strings, considered as given in intuition, cannot play the role Parsons assigns to them: the criteria of identity of these strings do not have the sharpness that Parsons wants to see in them, and Parsons inadvertently projects abstract structures into his ‘intuitive model’. This diagnosis is exemplified with respect to (a) Parsons’ distinction between addition and multiplication on the one hand and exponentiation on the other and (b) his analysis of arithmetical knowledge in simple cases like “7 + 5 = 12”. All in all, it is claimed that Parsons book contains many important insights with respect to, for example, different versions structuralism, the notion of “natural number” and its uniqueness, induction, predicativity and other things, for which he is rightly famous, but that his way of drawing on the notion of intuition leaves too many questions unanswered.     

Merleau-Ponty’s Responses to Skepticism: A Critical Appraisal

Abstract

In this article, I reconstruct and evaluate Merleau-Ponty’s main responses to philosophical skepticism in the relevant parts of his work. To begin with, I introduce the skeptical argument that Merleau-Ponty most often tried to refute, namely, the dream argument. Secondly, I show how Merleau-Ponty, in his initial works, excludes the skeptical problem by appealing to a general contact with the world guaranteed by perception. Finally, I analyze how in his last texts Merleau-Ponty considers at least some uses of the skeptical arguments as tools to make our opaque contact with being explicit.     

Philo’s Argument from Evil in Hume’s Dialogues X: A Semantic Interpretation

Philo's argument from evil in a much-discussed passage in Part X of Hume's Dialogues concerning Natural Religion (1779) has been interpreted in three main ways: as a logical argument from evil, as an evidential argument from evil, and as an argument against natural theology's inference of a benevolent and merciful God from the course of the world. I argue that Philo is not offering an argument of any of these sorts, but is arguing that there is a radical disanalogy between the meanings of terms like ‘merciful’ and ‘benevolent’ when applied to God and human beings respectively. Drawing on the new ‘Irreligious Interpretation’ of Hume's philosophy developed by Paul Russell (2002, 2008), I suggest that the underlying aim of Philo's argument appears to be to show, in opposition to Christian teaching, that these terms, when applied to God, are in effect meaningless.     

Sara Protasi: The Philosophy of Envy Cambridge: Cambridge University Press, 2021. Hardback (ISBN 978-1-316-51917-2), £75. 260 pp

Ethical Theory and Moral Practice - Envy is a complex and intriguing emotion that has received too little philosophical attention in recent years. Sara Protasi has come to remedy that gap with an...     

Hume’s definitions of ‘Cause’: Without idealizations,within the bounds of science

Interpreters have found it exceedingly difficult to understand how Hume could be right in claiming that his two definitions of ‘cause’ are essentially the same. As J. A. Robinson points out, the definitions do not even seem to be extensionally equivalent. Don Garrett offers an influential solution to this interpretative problem, one that attributes to Hume the reliance on an ideal observer. I argue that the theoretical need for an ideal observer stems from an idealized concept of definition, which many interpreters, including Garrett, attribute to Hume. I argue that this idealized concept of definition indeed demands an unlimited or infinite ideal observer. But there is substantial textual evidence indicating that Hume disallows the employment of idealizations in general in the sciences. Thus Hume would reject the idealized concept of definition and its corresponding ideal observer. I then put forward an expert-relative reading of Hume’s definitions of ‘cause’, which also renders both definitions extensionally equivalent. On the expert-relative reading, the meaning of ‘cause’ changes with better observations and experiments, but it also allows Humean definitions to play important roles within our normative practices. Finally, I consider and reject Henry Allison’s argument that idealized definitions and their corresponding infinite minds are necessary for expert reflection on the limitations of current science.