Logic, Form and Grammar


Book Description

This work contains Peter Long's important essay, Logic, Form and Grammar, which resolves many difficulties for the logical form of an argument where the reasoning is hypothetical. Also included are two essays on classical problems in philosophical logic, relating to logical form and formal relations. All of the essays provide clear thinking and philosophical explanations, overturning many unchallenged suggestions in philosophical logic.







Uncovering the Logic of English: A Common-Sense Solution to America's Literacy Crisis


Book Description

"English is so illogical!" It is generally believed that English is a language of exceptions. For many, learning to spell and read is frustrating. For some, it is impossible... especially for the 29% of Americans who are functionally illiterate. But what if the problem is not the language itself, but the rules we were taught? What if we could see the complexity of English as a powerful tool rather than a hindrance? --Denise Eide Uncovering the Logic of English challenges the notion that English is illogical by systematically explaining English spelling and answering questions like "Why is there a silent final E in have, large, and house?" and "Why is discussion spelled with -sion rather than -tion?" With easy-to-read examples and anecdotes, this book describes: - the phonograms and spelling rules which explain 98% of English words - how English words are formed and how this knowledge can revolutionize vocabulary development - how understanding the reasons behind English spelling prevents students from needing to guess The author's inspiring commentary makes a compelling case that understanding the logic of English could transform literacy education and help solve America's literacy crisis. Thorough and filled with the latest linguistic and reading research, Uncovering the Logic of English demonstrates why this systematic approach should be as foundational to our education as 1+1=2.




Logic, Language, and Meaning, Volume 1


Book Description

Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.




Logic in Grammar


Book Description

In a fundamental investigation of language and human reasoning, Gennaro Chierchia looks at how syntactic and inferential processes interact through the study of polarity sensitive and free choice items. He reformulates the semantics of focus and scope and the pragmatics of implicature as part of the recursive semantic system.




Type Logical Grammar


Book Description

This book sets out the foundations, methodology, and practice of a formal framework for the description of language. The approach embraces the trends of lexicalism and compositional semantics in computational linguistics, and theoretical linguistics more broadly, by developing categorial grammar into a powerful and extendable logic of signs. Taking Montague Grammar as its point of departure, the book explains how integration of methods from philosophy (logical semantics), computer science (type theory), linguistics (categorial grammar) and meta-mathematics (mathematical logic ) provides a categorial foundation with coverage including intensionality, quantification, featural polymorphism, domains and constraints. For the first time, the book systematises categorial thinking into a unified program which is at once both logically secured, and a practical tool for pure lexical grammar development with type-theoretic semantics. It should be of interest to all those active in computational linguistics and formal grammar and is suitable for use at advanced undergraduate, postgraduate, and research levels.




Logical Form and Language


Book Description

One of the central issues of analytic philosophy and especially the theory of language is the concept of logical form. As typically understood this concept covers investigations into universal logical features underlying languages. However, from Frege and Russell onwards logical form analysts were no longer confined to such narrow linguistic perspectives. For them, investigating the logical form of language took the wider philosophical perspective of trying to understand language as our principal means for representing the world. From Russell's theory of definite descriptions to Davidson's truth-theoretical analyses of adverbial modification, citation, and reported speech, to lay open the logical structures underlying language is seen as a way of revealing the structure and features of the thereby represented world. Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology. Logical Form and Language brings together exciting new contributions from diverse points of view, which illuminate the lively current debate about this topic.




The English Infinitive


Book Description

This is a series which aims to meet the need for books on modern English that are both up-to-date and authoritative. The texts are ideal for the scholar, the teacher, and the student, but especially for English speaking students in overseas universities where English is the language of instruction, or advanced specialist students of English in foreign universities. Although English is probably the most studied language in the world, this is one of the first systematic comparisons of infinitives with and without the use of "to". Patrick Duffley examines these uses adopting the semantic approach, which shows that the two infinitive forms each have a basic meaning which is capable of explaining all of their particular uses. The author has carried out detailed research for this book, examining over 24,000 occurences of the infinitive, as well as taking into account the observations of previous grammarians. The book challenges old assumptions that grammar is independent of meaning and should be dealt with in purely formal terms. It also fulfils a need for literature on an area of English grammar which has sometimes been presumed to be chaotic and unsystematic. The text is aimed specialists in linguistics and advanced students of English as a second language.




A Concise Introduction to Logic


Book Description




Grammar


Book Description

In the ancient scholarly curriculum, grammar formed part of the Trivium, with its sister sciences of logic and rhetoric. Logic asks: When is a sentence true? Rhetoric asks: Which is the right sentence? Grammar purely asks: When is a sentence correct? In Grammar, Rachel Grenon defines the rules governing the construction of words, phrases, sentences, and extended text or speech. Beginning with the rules behind ancient languages such as Sanskrit and Greek, she then focuses on how the rules of English have developed-from nouns and pronouns, verbs and adverbs, to tenses, the passive voice, questions, imperatives, and much more. With diagrams, engravings, and witty cartoon illustrations, this original take on a classic subject is essential for anyone interested in language.