A growing number of philosophers and linguists have argued that many, if not most, terms in our language should be understood as semantically context sensitive. In opposition to this trend, Herman Cappelen and Ernie Lepore defend a view they call "Semantic Minimalism", which holds that there are virtually no semantically context sensitive expressions in English once you get past the standard list of indexicals and demonstratives such as "I", "you", "this", and "that". While minimalism strikes many as obviously false, it (...) will be argued here that the view is more plausible than commonly assumed if one accepts the 'normative' conception of the relation between meaning and use characteristic of the literature on semantic externalism. That said, it is not clear that Cappelen and Lepore always conceive of their minimal semantic contents in this more normative fashion, and once this framework is place, a version of 'moderate contextualism' that they do not consider comes into view. (shrink)

Correspondence theories are frequently charged with being either implausible—metaphysically troubling and overly general—or trivial—collapsing into deflationism's “‘P’ is true iff P.” Philip Kitcher argues for a “modest” correspondence theory, on which reference relations are causal relations, but there is no general theory of denotation. In this article, I start by showing that, understood this way, “modest” theories are open to charges of triviality. I then offer a refinement of modesty, and take the first steps toward articulating a modest correspondence theory, (...) giving a particular account of the relation between predicates, properties, and extensions. Finally, I argue that my account does not collapse into a deflationary one. (shrink)

Correspondence theories are frequently charged with being either implausible -- metaphysically troubling and overly general -- or trivial -- collapsing into deflationism's "'P' is true iff P." Philip Kitcher argues for a "modest" correspondence theory, on which reference relations are causal relations, but there is no general theory of denotation. In this paper, I start by showing that, understood this way, "modest" theories are open to charges of triviality. I then offer a refinement of modesty, and take the first steps (...) toward articulating a modest correspondence theory, giving a particular account of the relation between predicates, properties, and extensions. Finally, I argue that my account does not collapse into a deflationary one. (shrink)

In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics, meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.

Correspondence theories are frequently either too vaguely expressed – “true statements correspond to the way things are in the world,” or implausible – “true statements mirror raw, mind-independent reality.” I address this problem by developing features and roles that ought to characterize what I call ldquo;modest” correspondence theories. Of special importance is the role of correspondence in directing our responses to cases of suspected non-factuality; lack of straightforward correspondence shows the need for, and guides us in our choice of, various (...) kinds of reconstrual projects. This, I argue, is in contrast to the approaches suggested by deflationism and coherence, and thus modest correspondence theories are appropriately distinct from rivals. (shrink)

The effort to fit simple logical truths–like `if it's either red or green and it's not red, then it must be green'–into Kant's account of knowledge turns up a position more subtle and intriguing than might be expected at first glance.

In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. Modern presentations of the proof are explicitly higher-order, in that they involve quantifying over and summing over Dirichlet characters, which are certain types of functions. The notion of a character is only implicit in Dirichlet’s original proof, and the subsequent history shows a very gradual transition to the modern mode of presentation. In this essay, we (...) describe an approach to the philosophy of mathematics in which it is an important task to understand the roles of our ontological posits and assess the extent to which they enable us to achieve our mathematical goals. We use the history of Dirichlet’s theorem to understand some of the reasons that functions are treated as ordinary objects in contemporary mathematics, as well as some of the reasons one might want to resist such treatment. We also use these considerations to illuminate the formal treatment of functions and objects in Frege’s logical foundation, and we argue that his philosophical and logical decisions were influenced by many of the same factors. (shrink)

Mark Wilson presents a highly original account of conceptual behavior that challenges many received views about concepts in analytic philosophy. Few attempts have been made to rationally reconstruct Wilson’s framework of patches and facades within a precise semantic framework. I will show how a modified version of the structuralist framework offers a semantic reconstruction of scientific theories capable of modeling Wilson’s ideas about conceptual behavior. Specifically, I will argue that Theory-Elements and a modified version of Theory-Nets explicate respectively Wilson’s patches (...) and facades. I will also demonstrate how several wandering phenomena described by Wilson can be adequately reconstructed within my framework. (shrink)

This thesis focuses on models of conceptual change in science and philosophy. In particular, I developed a new bootstrapping methodology for studying conceptual change, centered around the formalization of several popular models of conceptual change and the collective assessment of their improved formal versions via nine evaluative dimensions. Among the models of conceptual change treated in the thesis are Carnap’s explication, Lakatos’ concept-stretching, Toulmin’s conceptual populations, Waismann’s open texture, Mark Wilson’s patches and facades, Sneed’s structuralism, and Paul Thagard’s conceptual revolutions. (...) -/- In order to analyze and compare the conception of conceptual change provided by these different models, I rely on several historical reconstructions of episodes of scientific conceptual change. The historical episodes of scientific change that figure in this work include the emergence of the morphological concept of fish in biological taxonomies, the development of scientific conceptions of temperature, the Church-Turing thesis and related axiomatizations of effective calculability, the history of the concept of polyhedron in 17th and 18th century mathematics, Hamilton’s invention of the quaternions, the history of the pre-abstract group concepts in 18th and 19th century mathematics, the expansion of Newtonian mechanics to viscous fluids forces phenomena, and the chemical revolution. I will also present five different formal and informal improvements of four specific models of conceptual change. I will first present two different improvements of Carnapian explication, a formal and an informal one. My informal improvement of Carnapian explication will consist of a more fine-grained version of the procedure that adds an intermediate, third step to the two steps of Carnapian explication. I will show how this novel three-step version of explication is more suitable than its traditional two-step relative to handle complex cases of explications. My second, formal improvement of Carnapian explication will be a full explication of the concept of explication itself within the theory of conceptual spaces. By virtue of this formal improvement, the whole procedure of explication together with its application procedures and its pragmatic desiderata will be reconceptualized as a precise procedure involving topological and geometrical constraints inside the theory of conceptual spaces. My third improved model of conceptual change will consist of a formal explication of Darwinian models of conceptual change that will make vast use of Godfrey-Smith’s population-based Darwinism for targeting explicitly mathematical conceptual change. My fourth improvement will be dedicated instead to Wilson’s indeterminate model of conceptual change. I will show how Wilson’s very informal framework can be explicated within a modified version of the structuralist model-theoretic reconstructions of scientific theories. Finally, the fifth improved model of conceptual change will be a belief-revision-like logical framework that reconstructs Thagard’s model of conceptual revolution as specific revision and contraction operations that work on conceptual structures. -/- At the end of this work, a general conception of conceptual change in science and philosophy emerges, thanks to the combined action of the three layers of my methodology. This conception takes conceptual change to be a multi-faceted phenomenon centered around the dynamics of groups of concepts. According to this conception, concepts are best reconstructed as plastic and inter-subjective entities equipped with a non-trivial internal structure and subject to a certain degree of localized holism. Furthermore, conceptual dynamics can be judged from a weakly normative perspective, bound to be dependent on shared values and goals. Conceptual change is then best understood, according to this conception, as a ubiquitous phenomenon underlying all of our intellectual activities, from science to ordinary linguistic practices. As such, conceptual change does not pose any particular problem to value-laden notions of scientific progress, objectivity, and realism. At the same time, this conception prompts all our concept-driven intellectual activities, including philosophical and metaphilosophical reflections, to take into serious consideration the phenomenon of conceptual change. An important consequence of this conception, and of the analysis that generated it, is in fact that an adequate understanding of the dynamics of philosophical concepts is a prerequisite for analytic philosophy to develop a realistic and non-idealized depiction of itself and its activities. (shrink)

It has frequently been suggested that meaning is, in some important sense, normative. However, precisely what is particularly normative about it is often left without any satisfactory explanation, and the ‘normativity thesis’ has thus, justly, been called into question. That said, it will be argued here that the intuition that meaning is ‘normative’ is on the right track, even if many of the purported explanations for meaning’s normativity are not. In particular, rather that being particularly social, the normativity of meaning (...) may follow from the more logical/epistemic relations between use and meaning. Because of this, some use-based theories we still be able to accommodate the normativity of meaning by allowing that while meaning supervenes upon use, the function from use to meaning is a normative one. (shrink)