It is a near truism of philosophy of language that sentences are prior to words--that they are the only things that fundamentally have meaning. Robert's Stainton's study interrogates this idea, drawing on a wide body of evidence to argue that speakers can and do use mere words, not sentences, to communicate complex thoughts.

In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume ...

Frege, famously, held that there is a close connection between our concept of cardinal number and the notion of one-one correspondence, a connection enshrined in Hume's Principle. Husserl, and later Parsons, objected that there is no such close connection, that our most primitive conception of cardinality arises from our grasp of the practice of counting. Some empirical work on children's development of a concept of number has sometimes been thought to point in the same direction. I argue, however, that Frege (...) was close to right, that our concept of cardinal number is closely connected with a notion like that of one-one correspondence, a more primitive notion we might call just as many. (shrink)

In arithmetic, if only because many of its methods and concepts originated in India, it has been the tradition to reason less strictly than in geometry, ...

A feature of Frege's philosophy of arithmetic that has elicited a great deal of attention in the recent secondary literature is his contention that numbers are ‘self‐subsistent’ objects. The considerable interest in this thesis among the contemporary philosophy of mathematics community stands in marked contrast to Kreisel's folk‐lore observation that the central problem in the philosophy of mathematics is not the existence of mathematical objects, but the objectivity of mathematics. Although Frege was undoubtedly concerned with both questions, a goal of (...) the present paper is to argue that his success in securing the objectivity of arithmetic depends on a less contentious commitment to numbers as objects than either he or his critics have supposed. As such, this paper is an articulation and defense of both Frege's analysis of arithmetic and Kreisel's observation. (shrink)

A feature of Frege's philosophy of arithmetic that has elicited a great deal of attention in the recent secondary literature is his contention that numbers are ‘self‐subsistent’ objects. The considerable interest in this thesis among the contemporary philosophy of mathematics community stands in marked contrast to Kreisel's folk‐lore observation that the central problem in the philosophy of mathematics is not the existence of mathematical objects, but the objectivity of mathematics. Although Frege was undoubtedly concerned with both questions, a goal of (...) the present paper is to argue that his success in securing the objectivity of arithmetic depends on a less contentious commitment to numbers as objects than either he or his critics have supposed. As such, this paper is an articulation and defense of both Frege's analysis of arithmetic and Kreisel's observation. (shrink)

It seems to me that the argument has a certain initial plausibility, especially when ‘sentence’, ‘used in isolation’ and ‘meaning in isolation’ are explicated in a certain way. ~For instance, one must take sentences to include elliptical sentences; and one must take ‘use in isolation’ to entail use in the performance of a genuine speech act.! It also seems to me that the argument is important. For one thing, the Conclusion can be recruited in reasoning to the effect that, because..

The restricted semantic ellipsis hypothesis, we have argued, is committed to an enormous number of multiply ambiguous expressions, the introduction of which gains us no extra explanatory power. We should, therefore, reject it. We should also spurn the original version since: (a) it entails the restricted version and (b) it incorrectly declares that, whenever a speaker makes an assertion by uttering an unembedded word or phrase, the expression uttered has illocutionary force.Once rejected, the semantic ellipsis hypothesis cannot account for the (...) many exceptions to the syntactic ellipsis hypothesis. So, we can safely infer that the Claim is true.(1)The Claim: Speakers can make assertions by uttering ordinary, unembedded, words and phrases.To the degree that the Claim reallyis in tension with the primacy of sentences (i.e., the view that (a) only sentences can be used to make assertions and (b) only sentences are meaningful in isolation) this doctrine must also be rejected. (shrink)

This work is the long awaited sequel to the author’s classic Frege: Philosophy of Language. But it is not exactly what the author originally planned. He tells us that when he resumed work on the book in the summer of 1989, after a long interruption, he decided to start afresh. The resulting work followed a different plan from the original drafts. The reader does not know what was lost by their abandonment, but clearly much was gained: The present work may (...) be the most compactly organized of Dummett’s philosophical books, and its value as commentary on Frege is enhanced by its being organized as a study of Die Grundlagen der Arithmetik and selected parts of Grundgesetze. Moreover, since Dummett has been thinking and writing about Frege for forty years, we have a single, mature chronological stage of his thought. (shrink)