Search results for 'Mathematical linguistics' (try it on Scholar)

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  1. Wojciech Buszkowski (1997). Mathematical Linguistics and Proof Theory. In Benthem & Meulen (eds.), Handbook of Logic and Language. Mit Press. 683--736.score: 90.0
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  2. Joseph S. Ullian (1974). Review: Robert Wall, Introduction to Mathematical Linguistics. [REVIEW] Journal of Symbolic Logic 39 (3):615-616.score: 90.0
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  3. M. V. Aldridge (1992). The Elements of Mathematical Semantics. Mouton De Gruyter.score: 78.0
    Chapter Some topics in semantics Aims of this study The central preoccupation of this study is semantic. It is intended as a modest contribution to the ...
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  4. O. Mcnamara (1995). Saussurian Linguistics Revisited: Can It Inform Our Interpretation of Mathematical Activity? Science and Education 4 (3):253-266.score: 72.0
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  5. Lawrence S. Moss (1992). Partee Barbara H., ter Meulen Alice, and Wall Robert E.. Mathematical Methods in Linguistics. Studies in Linguistics and Philosophy, Vol. 30. Kluwer Academic Publishers, Dordrecht, Boston, and London, 1990, Xx+ 663 Pp. [REVIEW] Journal of Symbolic Logic 57 (1):271-272.score: 72.0
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  6. Lawrence S. Moss (1992). Review: Barbara H. Partee, Alice ter Meulen, Robert E. Wall, Mathematical Methods in Linguistics. [REVIEW] Journal of Symbolic Logic 57 (1):271-272.score: 72.0
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  7. Benedikt Löwe, Wolfgang Malzkorn & Thoralf Räsch (2003). Foundations of the Formal Sciences II. Applications of Mathematical Logic in Philosophy and Linguistics. Kluwer.score: 72.0
     
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  8. Lev Dmitrievich Beklemishev (1999). Provability, Complexity, Grammars. American Mathematical Society.score: 60.0
    (2) Vol., Classification of Propositional Provability Logics LD Beklemishev Introduction Overview. The idea of an axiomatic approach to the study of ...
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  9. Gerhard Jäger (2004). Residuation, Structural Rules and Context Freeness. Journal of Logic, Language and Information 13 (1):47-59.score: 60.0
    The article presents proofs of the context freeness of a family of typelogical grammars, namely all grammars that are based on a uni- ormultimodal logic of pure residuation, possibly enriched with thestructural rules of Permutation and Expansion for binary modes.
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  10. Petr Sgall (ed.) (1984). Contributions to Functional Syntax, Semantics, and Language Comprehension. J. Benjamins Pub. Co..score: 60.0
    On the Notion "Type of Language" Petr Sgall It is well known that the high frequency of terminological vagueness and confusion has been a serious obstacle ...
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  11. P. Braffort & F. van Scheepen (eds.) (1968). Automation in Language Translation and Theorem Proving. Brussels, Commission of the European Communities, Directorate-General for Dissemination of Information.score: 60.0
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  12. Wolfram Hinzen & Juan Uriagereka (2006). On the Metaphysics of Linguistics. Erkenntnis 65 (1):71-96.score: 54.0
    Mind–body dualism has rarely been an issue in the generative study of mind; Chomsky himself has long claimed it to be incoherent and unformulable. We first present and defend this negative argument but then suggest that the generative enterprise may license a rather novel and internalist view of the mind and its place in nature, different from all of, (i) the commonly assumed functionalist metaphysics of generative linguistics, (ii) physicalism, and (iii) Chomsky’s negative stance. Our argument departs from the (...)
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  13. Wolfgang Rautenberg (2006). A Concise Introduction to Mathematical Logic. Springer.score: 54.0
    Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several well-known textbooks on mathematical logic, this book is unique in (...)
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  14. Ian Chiswell (2007). Mathematical Logic. Oxford University Press.score: 54.0
    Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a (...)
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  15. Gabriel V. Orman (ed.) (1991). Proceedings of the Third Colloquium on Logic, Language, Mathematics Linguistics, Brasov, 23-25 Mai 1991. Society of Mathematics Sciences.score: 54.0
  16. John Hale (2006). Uncertainty About the Rest of the Sentence. Cognitive Science 30 (4):643-672.score: 48.0
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  17. Stephen K. Land (1974). From Signs to Propositions: The Concept of Form in Eighteenth-Century Semantic Theory. Longman.score: 48.0
     
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  18. Waldemar Skrzypczak (2006). Analog-Based Modelling of Meaning Representations in English. Nicolaus Copernicus University Press.score: 48.0
     
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  19. Dunja Jutronić (2007). Platonism in Linguistics. Croatian Journal of Philosophy 7 (2):163-176.score: 42.0
    Jim Brown (1991, viii) says that platonism, in mathematics involves the following: 1. mathematical objects exist independently of us; 2. mathematical objects are abstract; 3. we learn about mathematical objects by the faculty of intuition. The same is being claimed by Jerrold Katz (1981, 1998) in his platonistic approach to linguistics. We can take the object of linguistic analysis to be concrete physical sounds as held by nominalists, or we can assume that the object of linguistic (...)
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  20. G. Neumann (2008). A Computational Linguistics Perspective on the Anticipatory Drive. Constructivist Foundations 4 (1):26-28.score: 42.0
    Open peer commentary on the target article “How and Why the Brain Lays the Foundations for a Conscious Self” by Martin V. Butz. Excerpt: In this commentary to Martin V. Butz’s target article I am especially concerned with his remarks about language (§33, §§71–79, §91) and modularity (§32, §41, §48, §81, §§94–98). In that context, I would like to bring into discussion my own work on computational models of self-monitoring (cf. Neumann 1998, 2004). In this work I explore the idea (...)
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  21. Luke Jerzykiewicz (2012). Mathematical Realism and Conceptual Semantics. In Oleg Prosorov & Vladimir Orevkov (eds.), Philosophy, Mathematics, Linguistics: Aspects of Interaction. Euler International Mathematical Institute.score: 38.0
    The dominant approach to analyzing the meaning of natural language sentences that express mathematical knowl- edge relies on a referential, formal semantics. Below, I discuss an argument against this approach and in favour of an internalist, conceptual, intensional alternative. The proposed shift in analytic method offers several benefits, including a novel perspective on what is required to track mathematical content, and hence on the Benacerraf dilemma. The new perspective also promises to facilitate discussion between philosophers of mathematics and (...)
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  22. John J. Sung (2008). Embodied Anomaly Resolution in Molecular Genetics: A Case Study of RNAi. [REVIEW] Foundations of Science 13 (2):177-193.score: 36.0
    Scientific anomalies are observations and facts that contradict current scientific theories and they are instrumental in scientific theory change. Philosophers of science have approached scientific theory change from different perspectives as Darden (Theory change in science: Strategies from Mendelian genetics, 1991) observes: Lakatos (In: Lakatos, Musgrave (eds) Criticism and the growth of knowledge, 1970) approaches it as a progressive “research programmes” consisting of incremental improvements (“monster barring” in Lakatos, Proofs and refutations: The logic of mathematical discovery, 1976), Kuhn (The (...)
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  23. Gérard Battail (2013). Biology Needs Information Theory. Biosemiotics 6 (1):77-103.score: 36.0
    Communication is an important feature of the living world that mainstream biology fails to adequately deal with. Applying two main disciplines can be contemplated to fill in this gap: semiotics and information theory. Semiotics is a philosophical discipline mainly concerned with meaning; applying it to life already originated in biosemiotics. Information theory is a mathematical discipline coming from engineering which has literal communication as purpose. Biosemiotics and information theory are thus concerned with distinct and complementary possible meanings of the (...)
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  24. A. A. Stoli͡ar (1984). Introduction to Elementary Mathematical Logic. Dover Publications.score: 36.0
    Lucid, non-intimidating presentation of propositional logic, propositional calculus and predicate logic by Russian scholar. Topics of concern in a variety of fields, including computer science, systems analysis, linguistics, etc. Accessible to high school students; valuable review of fundamentals for professionals. Exercises (no solutions). Preface. Three appendices. Indices. Bibliogaphy. 14 figures.
     
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  25. Gerald F. Thomas (2012). The Emancipation of Chemistry. Foundations of Chemistry 14 (2):109-155.score: 30.0
    In his classic work The Mind and its Place in Nature published in 1925 at the height of the development of quantum mechanics but several years after the chemists Lewis and Langmuir had already laid the foundations of the modern theory of valence with the introduction of the covalent bond, the analytic philosopher C. D. Broad argued for the emancipation of chemistry from the crass physicalism that led physicists then and later—with support from a rabblement of philosophers who knew as (...)
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  26. Marc Dymetman (1998). Group Theory and Computational Linguistics. Journal of Logic, Language and Information 7 (4):461-497.score: 30.0
    There is currently much interest in bringing together the tradition of categorial grammar, and especially the Lambek calculus, with the recent paradigm of linear logic to which it has strong ties. One active research area is designing non-commutative versions of linear logic (Abrusci, 1995; Retoré, 1993) which can be sensitive to word order while retaining the hypothetical reasoning capabilities of standard (commutative) linear logic (Dalrymple et al., 1995). Some connections between the Lambek calculus and computations in groups have long been (...)
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  27. Edward Keenan & Denis Paperno (2010). Stanley Peters and Dag Westerståhl: Quantifiers in Language and Logic. [REVIEW] Linguistics and Philosophy 33 (6):513-549.score: 30.0
    Quantifiers in Language and Logic (QLL) is a major contribution to natural language semantics, specifically to quantification. It integrates the extensive recent work on quantifiers in logic and linguistics. It also presents new observations and results. QLL should help linguists understand the mathematical generalizations we can make about natural language quantification, and it should interest logicians by presenting an extensive array of quantifiers that lie beyond the pale of classical logic. Here we focus on those aspects of QLL (...)
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  28. Geoffrey K. Pullum (2011). On the Mathematical Foundations of Syntactic Structures. Journal of Logic, Language and Information 20 (3):277-296.score: 30.0
    Chomsky’s highly influential Syntactic Structures ( SS ) has been much praised its originality, explicitness, and relevance for subsequent cognitive science. Such claims are greatly overstated. SS contains no proof that English is beyond the power of finite state description (it is not clear that Chomsky ever gave a sound mathematical argument for that claim). The approach advocated by SS springs directly out of the work of the mathematical logician Emil Post on formalizing proof, but few linguists are (...)
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  29. Mark Baltin, Is Grammar Markovian?score: 30.0
    One of the cardinal assumptions about the nature of grammar is that it is a formal system, meaning that the operations and symbols in the grammar should have a precise meaning, so that one can tell precisely how it functions, and whether a given structure is in fact created by the grammar. The issue of how much information is available to the grammar, viewed as a computational device that computes structures, is called the issue of computational complexity. The computational powers (...)
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  30. T. Icard & R. Muskens (eds.) (2010). Interfaces: Explorations in Logic, Language and Computation. Springer Berlin.score: 30.0
    The European Summer School in Logic, Language and Information (ESSLLI) takes place every year, each time at a different location in Europe. With its focus on the large interdisciplinary area where linguistics, logic and computation converge, it has become very popular since it started in 1989, attracting large crowds of students. ESSLLI is where everyone in the field meets, teaches, takes courses, gives talks, dances all night, and generally has a good time. One of the enjoyable features of the (...)
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  31. Edward L. Keenan & Denis Paperno (2010). Stanley Peters and Dag Westerståhl: Quantifiers in Language and Logic OUP, New York, 2006, 528 Pp. [REVIEW] Linguistics and Philosophy 33 (6):513 - 549.score: 30.0
    Quantifiers in Language and Logic (QLL) is a major contribution to natural language semantics, specifically to quantification. It integrates the extensive recent work on quantifiers in logic and linguistics. It also presents new observations and results. QLL should help linguists understand the mathematical generalizations we can make about natural language quantification, and it should interest logicians by presenting an extensive array of quantifiers that lie beyond the pale of classical logic. Here we focus on those aspects of QLL (...)
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  32. Nadia Stoyanova Kennedy (2013). Math Habitus, the Structuring of Mathematical Classroom Practices, and Possibilities for Transformation. Childhood and Philosophy 8 (16):421-441.score: 30.0
    In this paper, I discuss the social philosopher Pierre Bourdieu’s concept of habitus, and use it to locate and examine dispositions in a larger constellation of related concepts, exploring their dynamic relationship within the social context, and their construction, manifestation, and function in relation to classroom mathematics practices. I describe the main characteristics of habitus that account for its invisible effects: its embodiment, its deep and pre-reflective internalization as schemata, orientation, and taste that are learned and yet unthought, and are (...)
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  33. Jerzy Mycka (2012). Czy muzyka jest ucieleśnieniem matematyki? Analiza przypadku introitu Statuit. Filozofia Nauki 3.score: 30.0
    The article starts with various definitions of music and its components (taken es-pecially from medieval sources). Then the Statuit introit is presented as the main example useful for mathematical analysis in the paper. We discuss the distinc-tion between a musical work and its performance and give a review of possible representations/ notations of music with their short mathematical characteristics. The next point is devoted to the concept of modality, Gregorian scales and selected theories linking musical experience with mathematics. (...)
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  34. Chris Daly & David Liggins (2011). Deferentialism. Philosophical Studies 156 (3):321-337.score: 28.0
    There is a recent and growing trend in philosophy that involves deferring to the claims of certain disciplines outside of philosophy, such as mathematics, the natural sciences, and linguistics. According to this trend— deferentialism , as we will call it—certain disciplines outside of philosophy make claims that have a decisive bearing on philosophical disputes, where those claims are more epistemically justified than any philosophical considerations just because those claims are made by those disciplines. Deferentialists believe that certain longstanding philosophical (...)
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  35. John Kadvany (2010). Indistinguishable From Magic: Computation is Cognitive Technology. [REVIEW] Minds and Machines 20 (1):119-143.score: 28.0
    Abstract This paper explains how mathematical computation can be constructed from weaker recursive patterns typical of natural languages. A thought experiment is used to describe the formalization of computational rules, or arithmetical axioms, using only orally-based natural language capabilities, and motivated by two accomplishments of ancient Indian mathematics and linguistics. One accomplishment is the expression of positional value using versified Sanskrit number words in addition to orthodox inscribed numerals. The second is Panini’s invention, around<br>the fifth century BCE, of (...)
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  36. Arthur Fisher Bentley (1932). Linguistic Analysis of Mathematics. Bloomington, Ind.,The Principia Press, Inc..score: 28.0
     
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  37. Peter Milne (1999). Tarski on Truth and its Definition. Proceedings of the Aristotelian Society 99:141-167.score: 26.0
    Of his numerous investigations ... Tarski was most proud of two: his work on truth and his design of an algorithm in 1930 to decide the truth or falsity of any sentence of the elementary theory of the high school Euclidean geometry. [...] His mathematical treatment of the semantics of languages and the concept of truth has had revolutionary consequences for mathematics, linguistics, and philosophy, and Tarski is widely thought of as the man who "defined truth". The seeming (...)
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  38. Jody Azzouni (1994). Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences. Cambridge University Press.score: 26.0
    This original and exciting study offers a completely new perspective on the philosophy of mathematics. Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similiar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things as well. Jody Azzouni argues that mathematical knowledge really is a (...)
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  39. Dov M. Gabbay (ed.) (2003). Many-Dimensional Modal Logics: Theory and Applications. Elsevier North Holland.score: 26.0
    Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines. Celebrated for their good computational behaviour, modal logics are used as effective formalisms for talking about time, space, knowledge, beliefs, actions, obligations, provability, etc. However, the nice computational properties can drastically change if we combine some of these formalisms into a many-dimensional system, say, to reason about knowledge bases developing in time or moving objects. To (...)
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  40. Liina Pylkkänen Douglas K. Bemis (2012). Combination Across Domains: An MEG Investigation Into the Relationship Between Mathematical, Pictorial, and Linguistic Processing. Frontiers in Psychology 3.score: 26.0
    Debates surrounding the evolution of language often hinge upon its relationship to cognition more generally and many investigations have attempted to demark the boundary between the two. Though results from these studies suggest that language may recruit domain-general mechanisms during certain types of complex processing, the domain-generality of basic combinatorial mechanisms that lie at the core of linguistic processing is still unknown. Our previous work (Bemis & Pylkkänen, 2011, 2012) used magnetoencephalography to isolate neural activity associated with the simple composition (...)
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  41. Stewart Shapiro (2008). Identity, Indiscernibility, and Ante Rem Structuralism: The Tale of I and –I. Philosophia Mathematica 16 (3):285-309.score: 24.0
    Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is (...)
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  42. Crispin Wright, “Wang's Paradox”.score: 24.0
    There is now a widespread accord among philosophers that the vagueness of natural language gives rise to some particularly deep and perplexing problems and paradoxes. It was not always so. For most of the first century of analytical philosophy, vagueness was generally regarded as a marginal, slightly irritating phenomenon, —receiving some attention, to be sure, in parts of the Philosophical Investigations and in the amateur linguistics enjoyed by philosophers in Oxford in the 1950s, but best idealised away in any (...)
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  43. Daniel Cohnitz (2003). Two-Dimensionalism and the Metaphysical Possibility of Zombies. In B. Löwe, W. Malzkorn & T. Räsch (eds.), Foundations of The Formal Sciences II. Applications of Mathematical Logic in Philosophy and Linguistics [Trends in Logic]. Kluwer. 55--62.score: 24.0
  44. Kenneth Aizawa, It is Not All About Turing-Equivalent Computation.score: 24.0
    One account of the history of computation might begin in the 1930’s with some of the work of Alonzo Church, Alan Turing, and Emil Post. One might say that this is where something like the core concept of computation was first formally articulated. Here were the first attempts to formalize an informal notion of an algorithm or effective procedure by which a mathematician might decide one or another logico-mathematical question. As each of these formalisms was shown to compute the (...)
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  45. Gerhard Heinzmann & Giuseppina Ronzitti (eds.) (2006). Constructivism: Mathematics, Logic, Philosophy and Linguistics.score: 24.0
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  46. Dov M. Gabbay (ed.) (1994). What is a Logical System? Oxford University Press.score: 24.0
    This superb collection of papers focuses on a fundamental question in logic and computation: What is a logical system? With contributions from leading researchers--including Ian Hacking, Robert Kowalski, Jim Lambek, Neil Tennent, Arnon Avron, L. Farinas del Cerro, Kosta Dosen, and Solomon Feferman--the book presents a wide range of views on how to answer such a question, reflecting current, mainstream approaches to logic and its applications. Written to appeal to a diverse audience of readers, What is a Logical System? will (...)
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  47. Dag Westerståhl (1998). On Mathematical Proofs of the Vacuity of Compositionality. Linguistics and Philosophy 21 (6):635-643.score: 24.0
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  48. Ann Dowker, Sheila Bala & Delyth Lloyd (2008). Linguistic Influences on Mathematical Development: How Important is the Transparency of the Counting System? Philosophical Psychology 21 (4):523 – 538.score: 24.0
    Wales uses languages with both regular (Welsh) and irregular (English) counting systems. Three groups of 6- and 8-year-old Welsh children with varying degrees of exposure to the Welsh language—those who spoke Welsh at both home and school; those who spoke Welsh only at home; and those who spoke only English—were given standardized tests of arithmetic and a test of understanding representations of two-digit numbers. Groups did not differ on the arithmetic tests, but both groups of Welsh speakers read and compared (...)
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  49. Christopher Mole (2011). Nineteen Fifty Eight: Information Technology and the Reconceptualization of Creativity. The Cambridge Quarterly 40 (4):301-327.score: 24.0
    Nineteen fifty-eight was an extraordinary year for cultural innovation, especially in English literature. It was also a year in which several boldly revisionary positions were first articulated in analytic philosophy. And it was a crucial year for the establishment of structural linguistics, of structuralist anthropology, and of cognitive psychology. Taken together these developments had a radical effect on our conceptions of individual creativity and of the inheritance of tradition. The present essay attempts to illuminate the relationships among these developments, (...)
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  50. Edward L. Keenan, Further Beyond the Frege Boundary.score: 24.0
    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 (...)
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