A Simple Definition of General Semantics Ben Hauck *
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Against Logical Form
Against logical form Zolta´n Gendler Szabo´ Conceptions of logical form are stranded between extremes. On one side are those who think the logical form of a sentence has little to do with logic; on the other, those who think it has little to do with the sentence. Most of us would prefer a conception that strikes a balance: logical form that is an objective feature of a sentence and captures its logical character. I will argue that we cannot get what we want. What are these extreme conceptions? In linguistics, logical form is typically con- ceived of as a level of representation where ambiguities have been resolved. According to one highly developed view—Chomsky’s minimalism—logical form is one of the outputs of the derivation of a sentence. The derivation begins with a set of lexical items and after initial mergers it splits into two: on one branch phonological operations are applied without semantic effect; on the other are semantic operations without phono- logical realization. At the end of the first branch is phonological form, the input to the articulatory–perceptual system; and at the end of the second is logical form, the input to the conceptual–intentional system.1 Thus conceived, logical form encompasses all and only information required for interpretation. But semantic and logical information do not fully overlap. The connectives “and” and “but” are surely not synonyms, but the difference in meaning probably does not concern logic. On the other hand, it is of utmost logical importance whether “finitely many” or “equinumerous” are logical constants even though it is hard to see how this information could be essential for their interpretation. -
Truth-Bearers and Truth Value*
Truth-Bearers and Truth Value* I. Introduction The purpose of this document is to explain the following concepts and the relationships between them: statements, propositions, and truth value. In what follows each of these will be discussed in turn. II. Language and Truth-Bearers A. Statements 1. Introduction For present purposes, we will define the term “statement” as follows. Statement: A meaningful declarative sentence.1 It is useful to make sure that the definition of “statement” is clearly understood. 2. Sentences in General To begin with, a statement is a kind of sentence. Obviously, not every string of words is a sentence. Consider: “John store.” Here we have two nouns with a period after them—there is no verb. Grammatically, this is not a sentence—it is just a collection of words with a dot after them. Consider: “If I went to the store.” This isn’t a sentence either. “I went to the store.” is a sentence. However, using the word “if” transforms this string of words into a mere clause that requires another clause to complete it. For example, the following is a sentence: “If I went to the store, I would buy milk.” This issue is not merely one of conforming to arbitrary rules. Remember, a grammatically correct sentence expresses a complete thought.2 The construction “If I went to the store.” does not do this. One wants to By Dr. Robert Tierney. This document is being used by Dr. Tierney for teaching purposes and is not intended for use or publication in any other manner. 1 More precisely, a statement is a meaningful declarative sentence-type. -
Notes on Mathematical Logic David W. Kueker
Notes on Mathematical Logic David W. Kueker University of Maryland, College Park E-mail address: [email protected] URL: http://www-users.math.umd.edu/~dwk/ Contents Chapter 0. Introduction: What Is Logic? 1 Part 1. Elementary Logic 5 Chapter 1. Sentential Logic 7 0. Introduction 7 1. Sentences of Sentential Logic 8 2. Truth Assignments 11 3. Logical Consequence 13 4. Compactness 17 5. Formal Deductions 19 6. Exercises 20 20 Chapter 2. First-Order Logic 23 0. Introduction 23 1. Formulas of First Order Logic 24 2. Structures for First Order Logic 28 3. Logical Consequence and Validity 33 4. Formal Deductions 37 5. Theories and Their Models 42 6. Exercises 46 46 Chapter 3. The Completeness Theorem 49 0. Introduction 49 1. Henkin Sets and Their Models 49 2. Constructing Henkin Sets 52 3. Consequences of the Completeness Theorem 54 4. Completeness Categoricity, Quantifier Elimination 57 5. Exercises 58 58 Part 2. Model Theory 59 Chapter 4. Some Methods in Model Theory 61 0. Introduction 61 1. Realizing and Omitting Types 61 2. Elementary Extensions and Chains 66 3. The Back-and-Forth Method 69 i ii CONTENTS 4. Exercises 71 71 Chapter 5. Countable Models of Complete Theories 73 0. Introduction 73 1. Prime Models 73 2. Universal and Saturated Models 75 3. Theories with Just Finitely Many Countable Models 77 4. Exercises 79 79 Chapter 6. Further Topics in Model Theory 81 0. Introduction 81 1. Interpolation and Definability 81 2. Saturated Models 84 3. Skolem Functions and Indescernables 87 4. Some Applications 91 5. -
General Semantics Bulletin
General Semantics Bulletin Yearbook of the Institute of General Semantics Number 71, Membership Year 2004 Fort Worth, TX Honorary Trustees, 1940 Executive Director APPOINTED BY ALFRED KORZYBSKI Steve Stockdale Gaston Bachelard Maxim Bing Assistant Executive Director Abraham A. Brill Jennifer Carmack W. Burridge Ross McC. Chapman, George E. Coghill Arthur Stone Dewing Board of Trustees Franklin C. Ebaugh Officers P. H. Esser President, Andrea Johnson David Fairchild Vice President, Irene S. Ross Mayper Clarence B. Farrar Treasurer, Lynn Schuldt William Healy Lancelot Hogben Secretary, Susan Presby Kodish Earnest A. Hooten Recording Secretary, Robert R. Potter Smith Ely Jelliffe Edward Kasner Board Members Cassius J. Keyser George J. Barenholtz Nolan D. C. Lewis Sanford I. Berman Ralph S. Lillie Laura Bertone Bronislaw Malinowski Walter W. Davis Raymond W. McNealy Milton Dawes Adolf Meyer Allen Flagg Winfred Overholser James Douglas French Stewart Paton Raymond Pearl Gregg Hoffmann William F. Petersen Bruce Kodish Roscoe Pound Susan Presby Kodish George S. Stevenson Martin Levinson M. Tramer Harry Maynard Walter L. Treadway Jeffrey A. Mordkowitz Richard Weil, Jr. Gerard I. Nierenberg George K. Zipf Frank Scardilli Honorary Trustees APPOINTED 1963 AND SINCE Robert Blake, Joseph Brewer, Douglas G. Campbell, Hadley Cantril, Stuart Carter Dodd, R. Buckminster Fuller, Henri Laborit, Abraham Maslow, Myres S. McDougall, Joost A. M. Meerloo, Russell Meyers, E. DeAlton Partridge, Allen Walker Read, J. Gordon Roberts, F. J. Roethlisberger, Jesse H. Shera, Alvin M. Weinberg © Institute of General Semantics The Scientific Philosophy of General Semantics General Semantics (GS) qualifies as an unusual, tough- to-‘pin down’, interdisciplinary field. “Is it a science or a philosophy?” Perhaps GS may best be seen as neither ‘science’ nor ‘philosophy’ but rather as both/and––a scientific philosophy applicable moreover to the life concerns of ‘the man and woman in the street’. -
Chapter 3 – Describing Syntax and Semantics CS-4337 Organization of Programming Languages
!" # Chapter 3 – Describing Syntax and Semantics CS-4337 Organization of Programming Languages Dr. Chris Irwin Davis Email: [email protected] Phone: (972) 883-3574 Office: ECSS 4.705 Chapter 3 Topics • Introduction • The General Problem of Describing Syntax • Formal Methods of Describing Syntax • Attribute Grammars • Describing the Meanings of Programs: Dynamic Semantics 1-2 Introduction •Syntax: the form or structure of the expressions, statements, and program units •Semantics: the meaning of the expressions, statements, and program units •Syntax and semantics provide a language’s definition – Users of a language definition •Other language designers •Implementers •Programmers (the users of the language) 1-3 The General Problem of Describing Syntax: Terminology •A sentence is a string of characters over some alphabet •A language is a set of sentences •A lexeme is the lowest level syntactic unit of a language (e.g., *, sum, begin) •A token is a category of lexemes (e.g., identifier) 1-4 Example: Lexemes and Tokens index = 2 * count + 17 Lexemes Tokens index identifier = equal_sign 2 int_literal * mult_op count identifier + plus_op 17 int_literal ; semicolon Formal Definition of Languages • Recognizers – A recognition device reads input strings over the alphabet of the language and decides whether the input strings belong to the language – Example: syntax analysis part of a compiler - Detailed discussion of syntax analysis appears in Chapter 4 • Generators – A device that generates sentences of a language – One can determine if the syntax of a particular sentence is syntactically correct by comparing it to the structure of the generator 1-5 Formal Methods of Describing Syntax •Formal language-generation mechanisms, usually called grammars, are commonly used to describe the syntax of programming languages. -
The History of Logic
c Peter King & Stewart Shapiro, The Oxford Companion to Philosophy (OUP 1995), 496–500. THE HISTORY OF LOGIC Aristotle was the first thinker to devise a logical system. He drew upon the emphasis on universal definition found in Socrates, the use of reductio ad absurdum in Zeno of Elea, claims about propositional structure and nega- tion in Parmenides and Plato, and the body of argumentative techniques found in legal reasoning and geometrical proof. Yet the theory presented in Aristotle’s five treatises known as the Organon—the Categories, the De interpretatione, the Prior Analytics, the Posterior Analytics, and the Sophistical Refutations—goes far beyond any of these. Aristotle holds that a proposition is a complex involving two terms, a subject and a predicate, each of which is represented grammatically with a noun. The logical form of a proposition is determined by its quantity (uni- versal or particular) and by its quality (affirmative or negative). Aristotle investigates the relation between two propositions containing the same terms in his theories of opposition and conversion. The former describes relations of contradictoriness and contrariety, the latter equipollences and entailments. The analysis of logical form, opposition, and conversion are combined in syllogistic, Aristotle’s greatest invention in logic. A syllogism consists of three propositions. The first two, the premisses, share exactly one term, and they logically entail the third proposition, the conclusion, which contains the two non-shared terms of the premisses. The term common to the two premisses may occur as subject in one and predicate in the other (called the ‘first figure’), predicate in both (‘second figure’), or subject in both (‘third figure’). -
General Semantics And... by Martin H. Levinson
GENERAL SEMANTICS AND . MARTIN H. LEVINSON eneral semantics, a process-oriented, problem-solving system, helps G individuals better evaluate and understand the world and therefore make more intelligent decisions. It was originally formulated by Alfred Korzybski, a Polish engineer and intellectual who came to the United States during World War I. Since then, many thinkers, educators, therapists, and other professionals have contributed to the system and general semantics ideas and formulations have been taught in many college courses throughout the world. From the beginning, Korzybski and his students considered general semantics a pragmatic discipline, to be used by individuals, groups, and organizations to solve problems. The fi rst two popular books on the sub- ject, The Tyranny of Words (1938) by Stuart Chase and Language in Action (1941) by S. I. Hayakawa (later titled Language in Thought and Action) re- fl ected the practical approach as each author used general semantics to ex- amine and assess the infl uence of language on thought and behavior. Sub- sequent individuals have employed general semantics to analyze and solve problems in a wide variety of fi elds, including the areas of education, com- munication, negotiation, management, social science, journalism, and per- sonal adjustment. Over the years, numerous articles on the benefi ts of general semantics have appeared in the General Semantics Bulletin and ETC: A Review of Gen- eral Semantics and more than 150 doctoral- and master’s-degree theses have demonstrated its effi cacy. As the following quotations show, general semantics is a highly useful methodology with a wide range of applicability in diverse areas of human endeavor. -
Scholasticism Old and New : an Introduction to Scholastic
f^frrninnamvfuv^ii^ 3 1924 102 136 409 DATE DUE 1 i The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924102136409 SCHOLASTICISM OLD AND NEW Vetera Novis Augere. SCHOLASTICISM OLD AND NEW AN INTRODUCTION TO SCHOLASTIC PHILOSOPHY MEDIEVAL AND MODEKN BY M. DE WULF DOCTOR OF LAWS, l.ciCTOR OF PHILOSOPHy AND LETTERS, PROFESSOR AT THE UNIVERSITY OF LOUVAIN TRANSLATED BY P. COFFEY, D.Ph. PROFESSOR UF PllILOSOPilV, MAISOOTH COLLtOB, IRELAND Jublin M H. GILL & SON, Lm LONGMANS, GREEN & 00. 39 PATBKNOSTEK EOW BOMBAV AND CALCUTTA. 1910 Printed and Bound in Ireland, ^3f ; PEEFATOEY NOTE. My object in translating Professor De Wulf's Introduction a la Philosophie Neo-scolastique has been fourfold : firstly, to give tlie advocates and supporters of " modern " systems of philosopby, as opposed " to scholasticism" —whether in its medieval or in its modern form—an opportunity of obtaining better and more authentic information about the latter system than books in English are usually found to contain ; secondly, to help students of scholastic philosophy to take in the main principles of schol- asticism in one connected view, and to equip them with a more accurate historical and critical appre- ciation of the system than they are ever hkely to derive from an unaided study of stereotyped manuals thirdly, to give aU Enghsh readers interested in philosophy of whatsoever kind an insight into the meaning, the spirit and the progress of the move- ment which has been developing during the last quarter of a century for the revival of scholastic philosophy ; fourthly, to prepare the way for trans- lations or adaptations of the Louvain Cours de philosophie, and to draw attention to the vahie of the work already done and hkely to be done in the well-known Belgian centre of the new scholasticism. -
General Semantics Author(S): David Lewis Source: Synthese, Vol
General Semantics Author(s): David Lewis Source: Synthese, Vol. 22, No. 1/2, Semantics of Natural Language, II (Dec., 1970), pp. 18-67 Published by: Springer Stable URL: http://www.jstor.org/stable/20114749 . Accessed: 09/12/2014 13:21 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Springer is collaborating with JSTOR to digitize, preserve and extend access to Synthese. http://www.jstor.org This content downloaded from 171.66.240.83 on Tue, 9 Dec 2014 13:21:40 PM All use subject to JSTOR Terms and Conditions DAVID LEWIS GENERAL SEMANTICS I. INTRODUCTION On the hypothesis that all natural or artificial languages of interest to us can be given transformational grammars of a certain not-very-special sort, it becomes possible to give very simple general answers to the questions: (1) What sort of thing is a meaning? (2) What is the form of the semantic rules whereby meanings of compounds are built up from the meanings of their consti tuent parts? It is not my plan to make any strong empirical claim about language. To the contrary: I want to propose a convenient format for semantics general enough to work for a great variety of logically possible languages. -
Semantic Shift and the Link Between Words and Culture
SEMANTIC SHIFT AND THE LINK BETWEEN WORDS AND CULTURE Amber Dunai, B. A. Thesis Prepared for the Degree of MASTER OF ARTS UNIVERSITY OF NORTH TEXAS December 2008 APPROVED: Sadaf Munshi, Committee Chair Shobhana Chelliah, Committee Member Haj Ross, Committee Member Brenda Sims, Chair of the Department of Linguistics and Technical Communication Sandra L. Terrell, Dean of the Robert B. Toulouse School of Graduate Studies Dunai, Amber. Semantic Shift and the Link between Words and Culture. Master of Arts (Linguistics), December 2008, 85 pp., 2 figures, works cited, 85 titles. This thesis is concerned with the correlation between cultural values and the semantic content of words over time; toward this purpose, the research focuses on Judeo-Christian religious terminology in the English language. The Sapir-Whorf hypothesis is of central interest to this study, and the implications of the hypothesis, including a bidirectional interpretation allowing for both the influence of language on worldview and culture on language, is of great relevance to the research findings and conclusions. The paper focuses on the etymology and sources of religious terminology in the English language, the prominent category of terms with both religious and secular applications attained through semantic shift, and the role of religious words as English taboo. The research findings imply that a bidirectional understanding of the Sapir-Whorf hypothesis is the correct one. This is achieved both through analysis of historical events and linguistic development which emphasize the speaker’s role in language development and through the study of societal values that are reinforced through linguistic practices, namely taboo. Copyright 2008 by Amber Dunai ii TABLE OF CONTENTS Page LIST OF FIGURES ........................................................................................................................iv Chapters 1. -
General Semantics of Alfred Korzybski
The following document is an archived chapter from a previous edition of A First Look at Communication Theory by Em Griffin, the leading college text in the field of communication theory (all editions published by McGraw-Hill). The theory is no longer covered in a full chapter of the current edition. This document is posted on the resource website for the text www.afirstlook.com All material is copyright © Em Griffin or used by permission of the copyright holder (Note that some cartoons reproduced in the textbook could not be included in the archived documents because copyright permission does not extend to online use.) 5 General Semantics of Alfred Korzybski What do these four men have in common? Count Alfred Korzybski-a Polish swordsman of note who survived several duels. Trained as a mathematician, he served on the Russian intelligence staff during World War I and then defected to the United States where he studied mental health. Although he wasn’t on the faculty at the University of Chicago, he lived near the campus and gave lectures to students. Wendell Johnson-a severe stutterer at a time when therapists thought that the disorder arose from speech directed by the wrong hemisphere of the brain. He wore a cast on his right arm for two years in an attempt to become left- handed and right-talking. He later headed the Speech Clinic at the University of Iowa. S. I. Hayakawa-as acting president of San Francisco State University, he confronted a student mob that was trying to shut down the school. -
The Craving for Objectivity Author(S): Hilary Putnam Source: New Literary History, Vol
The Craving for Objectivity Author(s): Hilary Putnam Source: New Literary History, Vol. 15, No. 2, Interrelation of Interpretation and Creation (Winter, 1984), pp. 229-239 Published by: The Johns Hopkins University Press Stable URL: https://www.jstor.org/stable/468853 Accessed: 29-10-2018 16:49 UTC REFERENCES Linked references are available on JSTOR for this article: https://www.jstor.org/stable/468853?seq=1&cid=pdf-reference#references_tab_contents You may need to log in to JSTOR to access the linked references. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at https://about.jstor.org/terms The Johns Hopkins University Press is collaborating with JSTOR to digitize, preserve and extend access to New Literary History This content downloaded from 199.111.225.173 on Mon, 29 Oct 2018 16:49:13 UTC All use subject to https://about.jstor.org/terms The Craving for Objectivity Hilary Putnam C OUNT ALFRED KORSZYBSKI used to claim that to say of anything that it is anything-for example, to say of my car that it is an automobile-is to falsify, since (to stick to the example of my car) there are many automobiles and my car is not identical with all of them, nor is it identical with the Platonic Idea of an automobile.