Contemporary accounts of logic and language cannot give proper treatments of plural constructions of natural languages. They assume that plural constructions are redundant devices used to abbreviate singular constructions. This paper and its sequel, "The logic and meaning of plurals, II", aim to develop an account of logic and language that acknowledges limitations of singular constructions and recognizes plural constructions as their peers. To do so, the papers present natural accounts of the logic and meaning of plural constructions that result (...) from the view that plural constructions are, by and large, devices for talking about many things (as such). The account of logic presented in the papers surpasses contemporary Fregean accounts in its scope. This extension of the scope of logic results from extending the range of languages that logic can directly relate to. Underlying the view of language that makes room for this is a perspective on reality that locates in the world what plural constructions can relate to. The papers suggest that reflections on plural constructions point to a broader framework for understanding logic, language, and reality that can replace the contemporary Fregean framework as this has replaced its Aristotelian ancestor. (shrink)

This article is a study of the Later Mohists' 'Lesser Selection (Xiaoqu)', which, more than any other early Chinese text, seems to engage in the study of logic. I focus on a procedure that the Mohists called mou . Arguments by mou are grounded in linguistic parallelism, implying perhaps that the Mohists were on the way to a formal analysis of argumentation. However, their main aim was to head off arguments by mou that targeted their own doctrines, and if their (...) argument succeeds then it entails that linguistic parallelism can never ground a cogent argument. In a way, this committed them to the view that formal logic cannot work, but the fact that they did not pursue this line of investigation was by no means inevitable. One consequence of this study is that the Later Mohists conducted their logical work by studying the behaviour of terms and verb phrases, and did not identify the sentence as a significant linguistic unit. This tends to confirm Chad Hansen's generalisation that early Chinese philosophers did not posit sentences or other sentence-like entities such as propositions, beliefs, or laws. Focusing on subsentential expressions did not stop the Mohists from addressing genuinely logical issues, but it may help explain the fact that they never developed a conception of logical structure. This study includes the complete Chinese text of the 'Lesser Selection' and a translation in English. (shrink)

The aim of this essay is to show that the subject-matter of ontology is richer than one might have thought. Our route will be indirect. We will argue that there are circumstances under which standard first-order regimentation is unacceptable, and that more appropriate varieties of regimentation lead to unexpected kinds of ontological commitment.

In this paper, I criticize John Bigelow's account of number and present my own account that results from the criticism. In doing so, I argue that proper understanding of the nature of number requires a radical departure from the standard conception of language and reality and outline the alternative conception that underlies my account of number. I argue that Bigelow's account of number rests on an incorrect analysis of the plural constructions underlying the talk of number and propound an analysis (...) of numerical sentences, such as “Quine and Goodman are two”, that conforms to the natural understanding of the plural constructions. The analysis leads to the account of number according to which natural numbers are properties, i.e., one-place relations: the number two, for example, is the property indicated by “to be two”, which, I argue, is a one-place predicate that can combine with plural terms like “Quine and Goodman”. (shrink)

: This essay critiques Chad Hansen’s "mass noun hypothesis," arguing that though most Classical Chinese nouns do function as mass nouns, this fact does not support the claim that pre-Qin thinkers treat the extensions of common nouns as mereological wholes, nor does it explain why they adopt nominalist semantic theories. The essay shows that early texts explain the use of common nouns by appeal to similarity relations, not mereological relations. However, it further argues that some early texts do characterize the (...) relation between individuals and collections as a mereological relation. (shrink)

In this paper, I criticize John Bigelow's account of number and present my own account that results from the criticism. In doing so, I argue that proper understanding of the nature of number requires a radical departure from the standard conception of language and reality and outline the alternative conception that underlies my account of number. I argue that Bigelow's account of number rests on an incorrect analysis of the plural constructions underlying the talk of number and propound an analysis (...) of numerical sentences, such as "Quine and Goodman are two", that conforms to the natural understanding of the plural constructions. The analysis leads to the account of number according to which natural numbers are properties, i.e., one-place relations: the number two, for example, is the property indicated by "to be two", which, I argue, is a one-place predicate that can combine with plural terms like "Quine and Goodman". (shrink)