In sentences like Every teacher laughed we think of every teacher as a unary (=type (1)) quantifier - it expresses a property of one place predicate denotations. In variable binding terms, unary quantifiers bind one variable. Two applications of unary quantifiers, as in the interpretation of No student likes every teacher, determine a binary (= type (2)) quantifier; they express properties of two place predicate denotations. In variable binding terms they bind two variables. We call a binary quantifier Fregean (or (...) reducible) if it can in principle be expressed by the iterated application of unary quantifiers. In this paper we present two mathematical properties which distinguish non-Fregean quantifiers from Fregean ones. Our results extend those of van Benthem (1989) and Keenan (1987a). We use them to show that English presents a large variety of non-Fregean quantifi ers. Some are new here, others are familiar (though the proofs that they are non-Fregean are not). The main point of our empirical work is to inform us regarding the types of quantification natural language presents - in particular (van Benthem, 1989) that it goes beyond the usual (Fregean) analysis which treats it as mere iterated application of unary quantifiers. Secondarily, our results challenge linguistic approaches to "Logical Form" which constrain variable binding operators to "locally" bind just one occurrence of a variable, e.g., the Bijection Principle (BP) of Koopman and Sportiche (1983). The BP (correctly) blocks analyses like For which x, x's mother kissed x? for Who did his mother kiss? since For which x would locally bind two occurrences of x. But some of our irreducible binary quantifiers are naturally represented by operators which do locally bind two variables. This paper is organized as follows: Section 1 provides an explicit formulation of our questions of concern. Section 2 classifies the English constructions which we show to be non-Fregean. Section 3 presents the mathematical properties which test for non-Fregean quantification and applies these tests to the constructions in Section 2. Proofs of the mathema tical properties are given in the Appendix. (shrink)

This special issue presents developments in research on the cognitive mechanisms and consequences of surprise. Amidst much progress, surprise research has often been siloed, so, as editors, we have sought to juxtapose insights, theories, and findings, to support cross‐fertilization in future research. The present paper sets the stage by presenting a historical summary, highlighting contrasts in definitions, and tracing major threads running through this issue and the larger surprise literature.

avant propos This paper is basically Keenan (1992) augmented by some new types of properly polyadic quantification in natural language drawn from Moltmann (1992), Nam (1991) and Srivastav (1990). In addition I would draw the reader's attention to recent mathematical studies of polyadic quantiicationz Ben-Shalom (1992), Spaan (1992) and Westerstahl (1992). The first and third of these extend and generalize (in some cases considerably) the techniques and results in Keenan (1992). Finally I would like to acknowledge the stimulating and constructive (...) discussions ofthe earlier paper with many scholars, notably Dorit Ben-Shalom, Jaap van der Does, Hans Kamp, Uwe Mormich, Arnim von Stechow, Mats Rooth, and Ede Zimmermann. And I repeat here the acknowledgment in the earlier paper to Jim Lambek, Ed Stabler and two anonymous referees for Linguistics and Philosophy (the latter responsible for substantial improvements in the proofs - see footnote 10). (shrink)

Recent work in natural language semantics leads to some new observations on generalized quantifiers. In § 1 we show that English quantifiers of type $ $ are booleanly generated by their generalized universal and generalized existential members. These two classes also constitute the sortally reducible members of this type. Section 2 presents our main result--the Generalized Prefix Theorem (GPT). This theorem characterizes the conditions under which formulas of the form Q1x 1⋯ Qnx nRx 1⋯ xn and q1x 1⋯ qnx nRx (...) 1⋯ xn are logically equivalent for arbitrary generalized quantifiers Qi, qi. GPT generalizes, perhaps in an unexpectedly strong form, the Linear Prefix Theorem (appropriately modified) of Keisler & Walkoe (1973). (shrink)

Excerpt from Heredity, Correlation and Sex Differences in School Abilities: Studies From the Department of Educational Psychology at Teachers College, Columbia University The Relationships between the Different Abilities Involved in the Study of Arithmetic. By W. A. Fox and E. L. Thorndike. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving (...) the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 20 (2000) 233-235 [Access article in PDF] News and Views The 1999 Meeting of the Society for Buddhist-Christian Studies Edward L. ShirleySt. Edward's UniversityThe annual meeting of the Society for Buddhist-Christian Studies met in Boston on Friday and Saturday, November 19 and 20, 1999. This year's papers addressed the problems of consumerism from Buddhist and Christian perspectives.In the first session, Stephanie Kaza presented a paper (...) in which she analyzed consumerism in light of Buddhist teachings. In her introduction, she offered a brief analysis of consumerist patterns in the first, third, and "fifth" worlds, paying special attention to the ecological impacts of consumerism, the formation of an ideology of consumerism, and the various players in the globalization of consumerism.In the second part of her paper, Stephanie offered an analysis of American "mall mentality" in light of the twelve links of codependent origination found in Buddhist teachings. One can enter the wheel at any point, and malls, advertising, and the entirety of consumeristic culture are designed to stimulate the birth of each of these links: malls are designed to engender craving, clinging, ignorance, and so forth. Because each link in the chain leads to the next, there ensues a "vicious cycle" from which it is difficult to escape. As one can enter the cycle at any point, however, the chain can be broken at any point as well. It was at this point that Stephanie offered a framework for liberation, noting that in Buddhism there are spiritual practices which are designed to help break the cycle at any link, and thus lead to liberation.As there was no Christian respondent, the session went immediately to group discussion, where the worldwide proliferation of "mall mentality" was explored, with the observation that malls in Asian countries are often indistinguishable from those in the United States, even housing identical stores. A sense of helplessness and frustration was expressed by many, but it was noted that each Tradition has a set of tools and resources for dealing with both the frustration as well as the disease, including teachings regarding moderation, simplicity, and restraint.In the second session, Jay McDaniel addressed consumerism from a Christian perspective. Noting that we sometimes speak of dual practice as Buddhists and Christians, he spoke of the "dual practice" of being both a consumer and a Christian. Thus, he noted, he was speaking about consumerism from the inside. Sharing a parable of an old woman and a grasshopper, Jay spoke of various dimensions of [End Page 233] Christian life, such as seeing the Divine in others, hearing and discerning an inner voice, themes of death and Resurrection, and approaching God, not as an object, but as "open space."Jay then spoke of the "Bad News" of consumeristic society, which has produced an over-consuming and "consuming" lifestyle and values to support that lifestyle. It has become, Jay argued, an unofficial religion in which economic growth has become God, and whose priests are economists, politicians and CEOs. Evangelistic advertisers draw us into the church, that is, the mall, and offer us the salvation of appearance, affluence, and marketable achievement. Creation is a collection of commodities and humans are skin-encapsulated egos.Jay then spoke of the need for Christians to respond on three levels: intellectual reflection, practical action, and spiritual discipline. For the first level, Jay emphasized a twofold approach: there is a need for historical and policy analysis as well as an explicit presentation of Christian alternative worldviews to the predominant consumerist myth. For the second level, Jay emphasized the need for social engagement to address the structural factors of consumerism. For the third level, he emphasized the need to develop a quality of heart that expresses itself in the intellectual and action arenas, particularly through a revitalization of the Christian contemplative tradition. Through daily practice of sacramental awareness (the presence of the Divine here and now), discernment, trust, and open space, through a daily practice of letting go and living the Paschal Mystery, Jay said Christians can begin to counter the lure... (shrink)

First Published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.

roots In the Lexicon of Malagasy we include an entry whose string part is vidy ('buy'). Its category is 'RT [AG, TH) ', indicating that it is a root and is associated with a two element set of theta roles, AGFNT and THEME. Semantically this entry is interpreted as a binary relation (= a two participant event), noted VIDY'.

This work presents the structure, distribution and semantic interpretation of quantificational expressions in languages from diverse language families and typological profiles. The current volume pays special attention to underrepresented languages of different status and endangerment level. Languages covered include American and Russian Sign Languages, and sixteen spoken languages from Africa, Australia, Papua, the Americas, and different parts of Asia. The articles respond to a questionnaire the editors constructed to enable detailed crosslinguistic comparison of numerous features. They offer comparable information on (...) semantic classes of quantifiers (generalized existential, generalized universal, proportional, partitive), syntactically complex quantifiers (intensive modification, Boolean compounds, exception phrases, et cetera), and several more specific issues such as quantifier scope ambiguities, floating quantifiers, and binary (type 2) quantifiers. The book is intended for semanticists, logicians interested in quantification in natural language, and general linguists as articles are meant to be descriptive and theory independent. The book continues and expands the coverage of the Handbook of Quantifiers in Natural Language (2012) by the same editors, and extends the earlier work in Matthewson (2008), Gil and others (2013) and Bach et al (1995). (shrink)

We illustrate a novel conception of linguistic invariant which applies to grammars of different natural languages even though they may use different categories and have difl'erent rules. We illustrate formally how semantically defined notions, such as "is an anaphor" may be invariant in all linguistically motivated grammars, and we show that individual morphemes, such as case markers, may be invariant in grammars that have them in exactly the same sense in which properties, such as "is a Verb Phrase" or relations (...) such as "is a constituent of". (shrink)

It was proposed that the data from Monte Carlo statistical investigations be subjected to analysis of variance methods rather than the conventional techniques of tabling, graphing, and inspecting the data. Two examples in which analysis of variance methods were applied to published Monte Carlo studies were presented. It was suggested that balanced factorial designs should be used whenever possible in Monte Carlo studies so that analysis of variance methods would be directly applicable. Finally, three advantages of analysis of variance methods (...) over conventional techniques were described and analysis of variance methods were contrasted with a possible alternative analytical method, multiple regression analysis. (shrink)

In this chapter we shall examine the characteristic properties of a construction wide-spread in the world’s languages, the passive. In section 1 below we discuss defining characteristics of passives, contrasting them with other foregrounding and backgrounding constructions. In section 2 we present the common syntactic and semantic properties of the most wide-spread types of passives, and in section 3 we consider passives which differ in one or more ways from these. In section 4, we survey a variety of constructions that (...) resemble passive constructions in one way or another. In section 5, we briefly consider differences between languages with regard to the roles passives play in their grammars. Specifically, we show that passives are a more essential part of the grammars of some languages than of others. (shrink)

Preface -- Introduction -- The wisdom -- Family -- Education -- Warfare -- The Dao -- Government -- Sagehood -- Death.

Binding relations are fimdamentally semantic in nature. They arise as relations that are established with an interpretation. This is most apparent with dynamic binding, of the kind found in Dynamic Predicate Logic. Here it is the runtime of the evaluation that may permit a binding relation, in..