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As humans, our many levels of language use distinguish us from the rest of the animal world. For many scholars, it is the recursive aspect of human speech that makes it truly human. But linguists continue to argue about what recursion actually is, leading to the central dilemma: is full recursion, as defined by mathematicians, really necessary for human language? Language and Recursion defines the elusive construct with the goal of furthering research into language and cognition. An up-to-date literature review surveys extensive findings based on non-verbal communication devices and neuroimaging techniques. Comparing human and non-human primate communication, the book’s contributors examine meaning in chimpanzee calls, and consider the possibility of a specific brain structure for recursion. The implications are then extended to formal grammars associated with artificial intelligence, and to the question of whether recursion is a valid concept at all. Among the topics covered: • The pragmatic origins of recursion. • Recursive cognition as a prelude to language. • Computer simulations of recursive exercises for a non-verbal communication device. • Early rule learning ability and language acquisition. • Computational language related to recursion, incursion, and fractals • Why there may be no recursion in language. Regardless of where one stands in the debate, Language and Recursion has much to offer the science community, particularly cognitive psychologists and researchers in the science of language. By presenting these multiple viewpoints, the book makes a solid case for eventual reconciliation.
In this volume, the issue of recursion is tackled from a variety of angles. Some articles cover formal issues regarding the proper characterization or definition of recursion, while others focus on empirical issues by examining the kinds of structur
Human language is a phenomenon of immense richness: It provides finely nuanced means of expression that underlie the formation of culture and society; it is subject to subtle, unexpected constraints like syntactic islands and cross-over phenomena; different mutually-unintelligeable individual languages are numerous; and the descriptions of individual languages occupy thousands of pages. Recent work in linguistics, however, has tried to argue that despite all appearances to the contrary, the human biological capacity for language may be reducible to a small inventory of core cognitive competencies. The most radical version of this view has emerged from the Minimalist Program: The claim that language consists of only the ability to generate recursive structures by a computational mechanism. On this view, all other properties of language must result from the interaction at the interfaces of that mechanism and other mental systems not exclusively devoted to language. Since language could then be described as the simplest recursive system satisfying the requirements of the interfaces, one can speak of the Minimalist Equation: Interfaces + Recursion = Language. The question whether all the richness of language can be reduced to that minimalist equation has already inspired several fruitful lines of research that led to important new results. While a full assessment of the minimalist equation will require evidence from many different areas of inquiry, this volume focuses especially on the perspective of syntax and semantics. Within the minimalist architecture, this places our concern with the core computational mechanism and the (LF-)interface where recursive structures are fed to interpretation. Specific questions that the papers address are: What kind of recursive structures can the core generator form? How can we determine what the simplest recursive system is? How can properties of language that used to be ascribed to the recursive generator be reduced to interface properties? What effects do syntactic operations have on semantic interpretation? To what extent do models of semantic interpretation support the LF-interface conditions postulated by minimalist syntax?
A groundbreaking theory of what makes the human mind unique The Recursive Mind challenges the commonly held notion that language is what makes us uniquely human. In this compelling book, Michael Corballis argues that what distinguishes us in the animal kingdom is our capacity for recursion: the ability to embed our thoughts within other thoughts. "I think, therefore I am," is an example of recursive thought, because the thinker has inserted himself into his thought. Recursion enables us to conceive of our own minds and the minds of others. It also gives us the power of mental "time travel"—the ability to insert past experiences, or imagined future ones, into present consciousness. Drawing on neuroscience, psychology, animal behavior, anthropology, and archaeology, Corballis demonstrates how these recursive structures led to the emergence of language and speech, which ultimately enabled us to share our thoughts, plan with others, and reshape our environment to better reflect our creative imaginations. He shows how the recursive mind was critical to survival in the harsh conditions of the Pleistocene epoch, and how it evolved to foster social cohesion. He traces how language itself adapted to recursive thinking, first through manual gestures, then later, with the emergence of Homo sapiens, vocally. Toolmaking and manufacture arose, and the application of recursive principles to these activities in turn led to the complexities of human civilization, the extinction of fellow large-brained hominins like the Neandertals, and our species' supremacy over the physical world.
This book provides a comprehensive account of the role of recursion in language in two distinct but interconnected ways. First, David J. Lobina examines how recursion applies at different levels within a full description of natural language. Specifically, he identifies and evaluates recursion as: a) a central property of the computational system underlying the faculty of language; b) a possible feature of the derivations yielded by this computational system; c) a global characteristic of the structures generated by the language faculty; and d) a probable factor in the parsing operations employed during the processing of recursive structures. Second, the volume orders these different levels into a tripartite explanatory framework. According to this framework, the investigation of any particular cognitive domain must begin by first outlining what sort of mechanical procedure underlies the relevant capacity (including what sort of structures it generates). Only then, the author argues, can we properly investigate its implementation, both at the level of abstract computations typical of competence-level analyses, and at the level of the real-time processing of behaviour.
This book is an exploration of interrelationships among culture, language, and the individual unconscious (the dark matter of the mind ), how these feed into a sense of self, and implications for the notion of human nature. The first part of the book is concerned with perceptual and cultural bases of dark matter and the effect of dark matter on perception (especially vision) and the interpretation of discourse. The second part is concerned with the contribution of dark matter to languagewith language viewed as a combination of speech and gesture, and including issues related to translation. In the final part Everett addresses implications of his account, summarizing and extending arguments for replacing an instinct-based account of human nature with a culturally-based, dark matter view of the constructed self. Everett makes a powerful argument for the influence of culture on unconscious forces that underlie human behavior and the individual s sense of self, with much of the power of the argument coming from the deep insights he gained from living and working with the Pirahas of the Amazon. This is an important book that sits at the intersection of anthropology, linguistics, psychology, and philosophy, and it is enriched by a combination of the author s knowledge of these fields and his cross-cultural perspective. The book will make an important contribution to newly emerging directions taken by cognitive science. After decades of a field derailed by ethnocentric, instinct-based views of language and the mind, the cognitive sciences need such informed analyses of the relationship between culture, cognition, and language, as embodied in speech and gesture."
An accessible yet rigorous crash course on recursive programming using Python and JavaScript examples. Recursion has an intimidating reputation: it’s considered to be an advanced computer science topic frequently brought up in coding interviews. But there’s nothing magical about recursion. The Recursive Book of Recursion uses Python and JavaScript examples to teach the basics of recursion, exposing the ways that it’s often poorly taught and clarifying the fundamental principles of all recursive algorithms. You’ll learn when to use recursive functions (and, most importantly, when not to use them), how to implement the classic recursive algorithms often brought up in job interviews, and how recursive techniques can help solve countless problems involving tree traversal, combinatorics, and other tricky topics. This project-based guide contains complete, runnable programs to help you learn: How recursive functions make use of the call stack, a critical data structure almost never discussed in lessons on recursion How the head-tail and “leap of faith” techniques can simplify writing recursive functions How to use recursion to write custom search scripts for your filesystem, draw fractal art, create mazes, and more How optimization and memoization make recursive algorithms more efficient Al Sweigart has built a career explaining programming concepts in a fun, approachable manner. If you’ve shied away from learning recursion but want to add this technique to your programming toolkit, or if you’re racing to prepare for your next job interview, this book is for you.
The process of solving large problems by breaking them down intosmaller, more simple problems that have identical forms. ThinkingRecursively: A small text to solve large problems. Concentrating onthe practical value of recursion. this text, the first of its kind,is essential to computer science students' education. In thistext, students will learn the concept and programming applicationsof recursive thinking. This will ultimately prepare students foradvanced topics in computer science such as compiler construction,formal language theory, and the mathematical foundations ofcomputer science. Key Features: * Concentration on the practical value of recursion. * Eleven chapters emphasizing recursion as a unifiedconcept. * Extensive discussion of the mathematical concepts which helpthe students to develop an appropriate conceptual model. * Large number of imaginative examples with solutions. * Large sets of exercises.
A bold and provocative study that presents language not as an innate component of the brain—as most linguists do—but as an essential tool unique to each culture worldwide. For years, the prevailing opinion among academics has been that language is embedded in our genes, existing as an innate and instinctual part of us. But linguist Daniel Everett argues that, like other tools, language was invented by humans and can be reinvented or lost. He shows how the evolution of different language forms—that is, different grammar—reflects how language is influenced by human societies and experiences, and how it expresses their great variety. For example, the Amazonian Pirahã put words together in ways that violate our long-held under-standing of how language works, and Pirahã grammar expresses complex ideas very differently than English grammar does. Drawing on the Wari’ language of Brazil, Everett explains that speakers of all languages, in constructing their stories, omit things that all members of the culture understand. In addition, Everett discusses how some cultures can get by without words for numbers or counting, without verbs for “to say” or “to give,” illustrating how the very nature of what’s important in a language is culturally determined. Combining anthropology, primatology, computer science, philosophy, linguistics, psychology, and his own pioneering—and adventurous—research with the Amazonian Pirahã, and using insights from many different languages and cultures, Everett gives us an unprecedented elucidation of this society-defined nature of language. In doing so, he also gives us a new understanding of how we think and who we are.
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