In this paper we integrate a sorted unification calculus into free variable tableau methods for logics with term declarations. The calculus we define is used to close a tableau at once, unifying a set of equations derived from pairs of potentially complementary literals occurring in its branches. Apart from making the deduction system sound and complete, the calculus is terminating and so, it can be used as a decision procedure. In this sense we have separated the complexity of sorts from (...) the undecidability of first order logic. (shrink)

Structural priming offers a powerful method for experimentally investigating the mental representation of linguistic structure. We clarify the nature of our proposal, justify the versatility of priming, consider alternative approaches, and discuss how our specific account can be extended to new questions as part of an interdisciplinary programme integrating linguistics and psychology as part of the cognitive sciences of language.

The Heythrop Journal, Volume 63, Issue 3, Page 333-348, May 2022.

This volume provides a concentrated and powerful dialog about the nexus between schools, prisons, and the free-market economy where youth are on fast tracks from schools to prisons.

Levelt, Roelofs, & Meyer (henceforth Levelt et al. 1999) propose a model of production incorporating a lemma stratum, which is concerned with the syntactic characteristics of lexical entries. We suggest that syntactic priming experiments provide evidence about how such syntactic information is represented, and that this evidence can be used to extend Levelt et al.'s model. Evidence from syntactic priming experiments also supports Levelt et al.'s conjecture that the lemma stratum is shared between the production and comprehension systems.

Within the cognitive sciences, most researchers assume that it is the job of linguists to investigate how language is represented, and that they do so largely by building theories based on explicit judgments about patterns of acceptability – whereas it is the task of psychologists to determine how language is processed, and that in doing so, they do not typically question the linguists' representational assumptions. We challenge this division of labor by arguing that structural priming provides an implicit method of (...) investigating linguistic representations that should end the current reliance on acceptability judgments. Moreover, structural priming has now reached sufficient methodological maturity to provide substantial evidence about such representations. We argue that evidence from speakers' tendency to repeat their own and others' structural choices supports a linguistic architecture involving a single shallow level of syntax connected to a semantic level containing information about quantification, thematic relations, and information structure, as well as to a phonological level. Many of the linguistic distinctions often used to support complex (or multilevel) syntactic structure are instead captured by semantics; however, the syntactic level includes some specification of “missing” elements that are not realized at the phonological level. We also show that structural priming provides evidence about the consistency of representations across languages and about language development. In sum, we propose that structural priming provides a new basis for understanding the nature of language. (shrink)

This work extend to residuated lattices the results of [7]. It also provides a possible generalization to this context of frontal operators in the sense of [9].Let L be a residuated lattice, and f : Lk → L a function. We give a necessary and sufficient condition for f to be compatible with respect to every congruence on L. We use this characterization of compatible functions in order to prove that the variety of residuated lattices is locally affine complete.We study (...) some compatible functions on residuated lattices which are a generalization of frontal operators. We also give conditions for two operations P(x, y) and Q(x, y) on a residuated lattice L which imply that the function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${x \mapsto min\{y \in L : P(x, y) \leq Q(x, y)\}}$$\end{document} when defined, is equational and compatible. Finally we discuss the affine completeness of residuated lattices equipped with some additional operators. (shrink)

This book is a rich blend of analyses by leading experts from various cultures and disciplines. A compact introduction to a complex field, it illustrates biotechnology's profound impact upon the environment and society. Moreover, it underscores the vital relevance of cultural values. This book empowers readers to more critically assess biotechnology's value and effectiveness within both specific cultural and global contexts.

In lieu of an abstract, here is a brief excerpt of the content:,178 HISTORY OF PHILOSOPHY in accord with Thomas on certain important points, but his own theology is more in the spirit of Plato and Augustine. Professor Kristeller's vast learning is at the service of admirably balanced conclusions. Not everyone will agree with all his interpretations; Ficino perhaps did not imagine himself to be "constructing a system of philosophy" (p. 96) since the very title of his work, Theologia platonica, (...) suggests that he continues, with new materials, the labor of mediaeval theolo#ans. And Ficino's doctrine of the continuity of the supernatural life of the soul in this world and the next (p. 120) seems to be completely in accord with Thomas. But the author's very careful scholarly method and sound general conclusions are beyond criticism. Two hitherto unpublished Latin texts are printed in critical edition at the end of the French lecture, the Opus aureum in Thomistas by Baptists Mantuanus, which is anti-Thomas, and the Opusculum ad Laurentium Medicem on beatitude, by Vincentius Bandellus, which is pro-Thomas. Like Professor Kristeller's fine lecture, these new texts are a permanent contribution to scholarship. PAUL J. W. MILLER University of Colorado The Anatomy of Leviathan. By F. S. McNeilly. (New York: St. Martin's Press, 1968. Pp. 264. $8.50) The one thing about which Hobbes's commentators have agreed is the absence of any significant process of development in the several statements of his philosophic views. This has been most evident in their willingness to use the various texts as a common repository from which evidence for their interpretations could be drawn with little regard for its specific textual origin. Notoriously, no consensus has emerged from such endeavors and McNeilly believes this method of interpreting Hobbes far too indiscriminate. He contends that careful examination of the differing expressions and contexts of apparently recurrent arguments will show, in many cases, not the same argument repeated several times, but several different arguments. And these, properly discriminated, reveal a definite pattern of development culminating, in Leviathan, with a political theory substantially different from that of the earlier works. While the political theory of the Elements of Law and De Cive consists of a series of predictions founded on the known psychological tendencies of men, the theory of Leviathan, MeNeilly contends, is independent of any particular concept of human nature. Rather it is a "formal system of necessarily true propositions" (p. 213) constituting "a systematic analysis of value systems generally" (p. 245). Excepting two introductory chapters, the whole of McNeilly's argument is given over to substantiating this radical thesis, his point of departure being Hobbes's allegedly shifting views on method which are taken to vary somewhat inconsistently in the earlier works among self evidence, conventionalist and hypothetico-deductive theories and combinations of these. By contrast, in Leviathan, McNeilly argues, Hobbes expounds a conventionalist view with "clarity and persistence" (pp. 84-85). When this BOOK REVIEWS 479 conventionalism is combined with the adoption of mathematics as the paradigm of sound science, it leads Hobbes to the view that pohtical theory can be constructed as a formal system of necessary propositions because he believes that mathematics is about the world and extends this mistake to formal systems generally. These methodological commitments then, render any concept of human nature irrelevant to political theory. McNeilly's task in the second main section of the book is to show that in contrast to the earlier works, and contrary to all appearances, the Leviathan's account of human nature is completely neutral with regard to any possible set of motives and hence, wholly formal. Specifically he argues that materialism and mechanism play no active role in Hobbes's account of the passions and that the psychological egoism characteristic of the Elements and the fourth part of De Corpore is abandoned. (Throughout it is assumed that De Corpore was substantially complete before Leviathan was composed; this may not be true of the fourth part, as McNeilly recognizes, but he is undeterred.) The formal account of the passions in Leviathan then is formally compatible with either egoistic or nonegoistic interpretations of human motivation. Similarly, it is argued that Hobbes gives up his pessimism about men as... (shrink)

This is the collection of essays presented to Bochenski on his 60th birthday, and it contains, as a mirror of Bochenski's own work, a broad spectrum of studies ranging from formal logic and history of logic, to the philosophy of logic and language, and to the methodology of explanation in Greek philosophy. Of the seventeen articles, these are some of the more important to the reviewer: "Betrachtungen zum Sequenzen Kalkül" by Paul Bernays, which is an extensive study of Gentzen-type formulations (...) of logic; "Remarks on Formal Deduction," H. B. Curry, a further discussion of sequenzen-logics; "Marginalia on Gentzen's Sequenzen Kalkül" by Hughes Leblanc; "Method and Logic in Presocratic Explanation," Jerry Stannard; "On the Logic of Preference and Choice," H. S. Houthakker, a suggestive presentation of decision and utility theory in logical form; "Leibniz's Law in Belief Contexts," Chisholm; "On Ontology and the Province of Logic," R. M. Martin; and "N. A. Vasilev and the Development of Many-valued Logics," G. L. Kline, an important addition to the history of logic. Other contributors are: Storrs McCall, Albert Menne, E. W. Beth, Benson Mates, Ivo Thomas, J. F. Staal, F. R. Barbò, A.-T. Tymieniecka, and N. M. Luyten. There is a bibliography of Bochenski's writings through 1962.—P. J. M. (shrink)

Nineteen obituaries of recently deceased Fellows of the British Academy: W S Allen; George Anderson; A C de la Mare; John Flemming; James Harris; John Hurst; Casimir Lewy; Donald MacDougall; Colin Matthew; Edward Miller; Michio Morishima; Brian Reddaway; Marjorie Reeves; C Martin Robertson; Conrad Russell, and Arnold Taylor.

This study investigated gender related moral reasoning in student essays containing arguments on moral issues. Undergraduate students in a medical ethics course viewed two films on morally controversial issues. The students wrote brief essays about the films which were transcribed and numerically coded to conceal the author's gender from the evaluator. Using a coding scheme originated by Lyons, the evaluator classified each essay as a justice/right essay or a care/response essay or an equal response essay. Subsequently, calculations were made to (...) determine the percentage of male authored essays that were justice/rights essays or care/response essays and the percentage of female authored essays that were justice/rights or care/response essays. The males (87.7%) tended to exhibit the justice/rights moral orientation, and the females (69.4%) exhibited the care/response moral orientation. Several different calculations were made to determine various degrees of gender related orientations also. The difference in orientation was highly statistically significant (p≤0.001). These data contribute to understanding moral orientation and development. Interpretations are given to explain some differences between the genders and help explain the traditional roles in society that males and females have played historically. (shrink)

The subtitle of this book could mislead. Although the book is "elementary in the sense of presupposing only first-order logic without sets", Martin's approach, here and in his other works, consists in the rigorous application of the techniques of formal logic to fundamental problems of analytic philosophy. The methodological conviction which underlies the present work is that "logic is... of particular interest for the study of natural language... [and] every formula of logic is a lesson for the student of language". (...) Martin's original study should prove illuminating even to linguists and philosophers who reject such sweeping claims on behalf of formal analysis. (shrink)

Because the main difference between combinatory weak equality and λβ-equality is that the rule \begin{equation*}\tag{\xi} X = Y \vdash \lambda x.X = \lambda x.Y\end{equation*} is valid for the latter but not the former, it is easy to assume that another way of defining combinatory β-equality is to add rule (ξ) to the postulates for weak equality. However, to make this true, one must choose the definition of combinatory abstraction in (ξ) very carefully. If one tries to use one of the (...) more common abstraction algorithms, the result will be an equality, = ξ , that is either equivalent to βη-equality (and so strictly stronger than β-equality) or else strictly weaker than β-equality. This paper will study the relations = ξ for several commonly used abstraction algorithms, distinguish between them, and axiomatize them. (shrink)

We discuss saturating ultrafilters on N, relating them to other types of nonprincipal ultrafilter. (a) There is an (ω,c)-saturating ultrafilter on $\mathbf{N} \operatorname{iff} 2^\lambda \leq \mathfrak{c}$ for every $\lambda and there is no cover of R by fewer than c nowhere dense sets. (b) Assume Martin's axiom. Then, for any cardinal κ, a nonprincipal ultrafilter on N is (ω,κ)-saturating iff it is almost κ-good. In particular, (i) p(κ)-point ultrafilters are (ω,κ)-saturating, and (ii) the set of (ω,κ)-saturating ultrafilters is invariant under (...) homeomorphisms of $\beta\mathbf{N\backslash N}$ . (c) It is relatively consistent with ZFC to suppose that there is a Ramsey p(c)-point ultrafilter which is not (ω,c)-saturating. (shrink)

The Gibbs states of binary lattice systems can be characterized by their stability with respect to certain microscopic transitions which have a simple physical interpretation. A detailed analysis is provided for the case of a one-dimensional lattice gas with nearest-neighbor interactions.

ObjectiveTo further delineate risk and resilience factors contributing to trajectories of mental health symptoms experienced by college students through the pandemic.Participantsn = 183 college students.MethodsLinear mixed models examined time effects on depression and anxiety. Propensity-matched subgroups exhibiting “increased” versus “low and stable” depression symptoms from before to after the pandemic-onset were compared on pre-pandemic demographic and psychological factors and COVID-related experiences and coping strategies.ResultsStudents experienced worsening of mental health symptoms throughout the pandemic, particularly during Fall 2020 compared with Fall 2019. (...) The propensity-matched subgroup exhibiting relative resilience reported less alcohol use prior to the pandemic, greater use of active coping strategies, and less of an impact on their college progress.ConclusionsResults point to several potential targets of screening and intervention to decrease residual impacts of the pandemic. (shrink)