The dominant account of propositions holds that they are structured entities that have, as constituents, the semantic values of the constituents of the sentences that express them. Since such theories hold that propositions are structured, in some sense, like the sentences that express them, they must provide an answer to what I will call Soames’ Question: “What level, or levels, of sentence structure does semantic information incorporate?”. As it turns out, answering Soames’ Question is no easy task. I argue in (...) this paper that the two most promising ways of answering it, the Logical Form Account and the LF Account, are both unsatisfactory. This result casts doubt on the very idea that propositions are structured. (shrink)

This paper deals with the adequacy of the model-theoretic definition of logical consequence. Logical consequence is commonly described as a necessary relation that can be determined by the form of the sentences involved. In this paper, necessity is assumed to be a metaphysical notion, and formality is viewed as a means to avoid dealing with complex metaphysical questions in logical investigations. Logical terms are an essential part of the form of sentences and thus have a crucial role in determining logical (...) consequence. Gila Sher and Stewart Shapiro each propose a formal criterion for logical terms within a model-theoretic framework, based on the idea of invariance under isomorphism. The two criteria are formally equivalent, and thus we have a common ground for evaluating and comparing Sher and Shapiro philosophical justification of their criteria. It is argued that Shapiro's blended approach, by which models represent possible worlds under interpretations of the language, is preferable to Sher’s formal-structural view, according to which models represent formal structures. The advantages and disadvantages of both views’ reliance on isomorphism are discussed. (shrink)

In this article I present a theory of what it is to be fair. I take my cue from Broome’s well known 1990 account of fairness. Broome’s basic thesis is that fairness is the proportional satisfaction of claims, and with this I am in at least partial agreement. But neither Broome nor anyone else (so far as I know) has laid down a theory of precisely what one must do in order to be fair. The theory offered here does just (...) this. (shrink)

The overgeneration argument attempts to show that accepting second-order validity as a sound formal counterpart of logical truth has the unacceptable consequence that the Continuum Hypothesis is either a logical truth or a logical falsehood. The argument was presented and vigorously defended in John Etchemendy’s The Concept of Logical Consequence and it has many proponents to this day. Yet it is nothing but a seductive fallacy. I demonstrate this by considering five versions of the argument; as I show, each is (...) either unsound or lacks a troubling conclusion. (shrink)

I consider the well-known criticism of Quine's characterization of first-order logical truth that it expands the class of logical truths beyond what is sanctioned by the model-theoretic account. Briefly, I argue that at best the criticism is shallow and can be answered with slight alterations in Quine's account. At worse the criticism is defective because, in part, it is based on a misrepresentation of Quine. This serves not only to clarify Quine's position, but also to crystallize what is and what (...) is not at issue in choosing the model-theoretic account of first-order logical truth over one in terms of substitutions. I conclude by highlighting the need for justifying the belief that the definition of first-order logical truth in terms of models is superior to its definition in terms of substitutions. (shrink)

The now standard definition of logical consequence is model-theoretic. Many writers have tried to justify, or to criticise, the model-theoretic definition by arguing that it extensionally captures, or fails to capture, our intuitions about logical consequence, such as its modal character or its being truth-preservation in virtue of form. One popular means of comparing the extension of model-theoretic consequence with some intuitive notion proceeds by adapting Kreisel's squeezing argument. But these attempts get Kreisel wrong, and try to achieve more than (...) he ever intended. This suggests that the model-theoretic definition should be viewed quite differently as an explication of our intuitions about logical consequence. I introduce Kreisel's squeezing argument in Section 1. Then in Section 2, I show how it is adapted by two prominent writers on logical consequence, Etchemendy (1990) and Shapiro (2005). Finally, in Section 3, I argue that these adaptations fail. (shrink)

Many Russellians endorse the theses that propositions (i) are structured, (ii) have logical forms, (iii) have objects they are directly about as constituents, (iv) cannot exist without their constituents and (v) exist contingently. In his Propositions, Merricks argues against (i)-(v). I respond to his arguments.

En este artículo, analizo las principales respuestas que se han dado al argumento finitista de Etchemendy, y muestro que ninguna de ellas es exitosa. Primero, describo y critico las propuestas que intentan resolverlo apelando a consideraciones modales. Estas soluciones fallan porque presuponen un finitismo demasiado débil, donde se acepta la existencia de infinitos conjuntos o de mundos posibles con infinitos objetos. Pero hay versiones más fuertes del finitismo que reintroducen el problema. Luego considero las soluciones que apelan a categorías semánticas. (...) Una de ellas categoriza incorrectamente este problema como un desacuerdo sobre el significado de los cuantificadores. La otra solución falla porque, si fuera tomada en serio, tendría efectos muy nocivos para la lógica en general. Finalmente argumento que la mejor solución es morder la bala y aceptar que la lógica no debería ser fuertemente independiente de algunos asuntos que tradicionalmente fueron considerados como 'extralógicos'. In this paper, I analyze the main replies that have been given to Etchemendy's finitist argument, and I show that none of them is successful. First, I describe and criticize the proposals that try to solve the problem by appealing to modal considerations. These solutions fail because they presuppose a very weak finitism, where the existence of infinitely many sets, or possible words with infinitely many objects, is accepted. But there are stronger versions of finitism that reintroduce the problem. Then I consider the solutions which appeal to semantical categories. One of them incorrectly categorizes the problem as a disagreement in the meaning of the quantifiers. The other fails because, if taken seriously, it would have harmful effects on logic in general. Finally I argue that the best solution is to bite the bullet and accept that logic shouldn't be strongly independent from some issues which were traditionally considered as 'extra-logical'. (shrink)