The Blueprints of Definition in Technical Dictionary
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Chapter 02 Test A
MULTIPLE CHOICE 1 : Which of the following statements has primarily cognitive meaning? A : Private insurance companies regularly overbill the Medicare program. B : From what I saw last night, its clear that your little brother is a brat. C : Justin Timberlakes latest CD is positively stunning. D : Professor Gibson delivered a moronic lecture today on Platos metaphysics. E : Everyone with a functioning brain rejects religious fundamentalism. Correct Answer : A 2 : Which of the following statements expresses a value claim? A : Animal rights groups argue that live animals should not be used as mascots. B : The recent jobs report raised fears of a recession among Wall Street investors. C : Piracy continues to be a drag on the motion picture industry. D : The Los Angeles Times is a better paper than the San Francisco Chronicle. E : Diabetes poses a serious threat to the health of the elderly. Correct Answer : D 3 : Which of the following statements is vague? A : Tahiti is located in French Polynesia. B : American workers are more productive than the workers in any other country. C : Art work at the Genesis gallery tends to be expensive. D : Mabel shot her husband while taking a bath. E : Polar bears are threatened by global warming. Correct Answer : C 4 : Which of the following statements is ambiguous? A : Anniversaries are usually occasions for celebration. B : Homes in the new River Front development are reasonably priced. C : The Thanksgiving holiday always occurs in November. D : Boalt Hall is part of the University of California. E : Professor Hays talked about sex in the seminar room. -
A Note on Analysis and Circular Definitions
A Note on Analysis and Circular Definitions Francesco Orilia Department of Philosophy, University of Macerata (Italy) Achille C. Varzi Department of Philosophy, Columbia University, New York (USA) (Published in Grazer philosophische Studien 54 (1998), 107–115.) I An analysis—in its simplest form—is an assertion aiming to capture a cer- tain intimate link between a given concept (the analysandum) and another, typically more precise and fully explicit concept (the analysans). For in- stance, the following are classical examples of analyses proposed for the geometric concept of a circle and the epistemic concept of knowledge, re- spectively: (1) A circle is a locus of points in the same plane equidistant from some common point. (2) Knowledge is justified true belief. In some cases, even a whole theory may be regarded as a constituting an analysis. For example, Russell’s celebrated theory of definite descriptions may be viewed as an analysis of that formal concept which in natural lan- guage can be expressed by means of the definite article.1 Analyses are also called philosophical, real, or simply analyzing defi- nitions. This is appropriate, since analyses are implicitly assumed to fulfill the following Definition Constraint: (DC) An analysis must obey the laws governing definitions, where the expression standing for the analysans is viewed as a defi- niens and the expression standing for the analysandum as a corresponding definiendum. 2 1 Given the ordinary account of definitions, (DC) in turn implies the follow- ing Substitutivity Principle: (SP) The expression standing for the analysandum and the one standing for the analysans are mutually substitutable, salva veritate. -
Dictionary of Lexicography
Dictionary of Lexicography Anyone who has ever handled a dictionary will have wondered how it was put together, where the information has come from, and how and why it can benefit so many of its users. The Dictionary of Lexicography addresses all these issues. The Dictionary of Lexicography examines both the theoretical and practical aspects of its subject, and how they are related. In the realm of dictionary research the authors highlight the history, criticism, typology, structures and use of dictionaries. They consider the subjects of data-collection and corpus technology, definition-writing and editing, presentation and publishing in relation to dictionary-making. English lexicography is the main focus of the work, but the wide range of lexicographical compilations in other cultures also features. The Dictionary gives a comprehensive overview of the current state of lexicography and all its possibilities in an interdisciplinary context. The representative literature has been included and an alphabetically arranged appendix lists all bibliographical references given in the more than 2,000 entries, which also provide examples of relevant dictionaries and other reference works. The authors have specialised in various aspects of the field and have contributed significantly to its astonishing development in recent years. Dr R.R.K.Hartmann is Director of the Dictionary Research Centre at the University of Exeter, and has founded the European Association for Lexicography and pioneered postgraduate training in the field. Dr Gregory James is Director of the Language Centre at the Hong Kong University of Science and Technology, where he has done research into what separates and unites European and Asian lexicography. -
An Introduction to Logic: from Everyday Life to Formal Systems Albert Mosley Smith College, [email protected]
Smith ScholarWorks Open Educational Resources: Textbooks Open Educational Resources 2019 An Introduction to Logic: From Everyday Life to Formal Systems Albert Mosley Smith College, [email protected] Eulalio Baltazar Follow this and additional works at: https://scholarworks.smith.edu/textbooks Part of the Logic and Foundations of Mathematics Commons Recommended Citation Mosley, Albert and Baltazar, Eulalio, "An Introduction to Logic: From Everyday Life to Formal Systems" (2019). Open Educational Resources: Textbooks, Smith College, Northampton, MA. https://scholarworks.smith.edu/textbooks/1 This Book has been accepted for inclusion in Open Educational Resources: Textbooks by an authorized administrator of Smith ScholarWorks. For more information, please contact [email protected] AN INTRODUCTION TO LOGIC FROM EVERYDAY LIFE TO FORMAL SYSTEMS Dr. Albert Mosley Dr. Eulalio Baltazar 2019 Northampton, Massachusetts AN INTRODUCTION TO LOGIC FROM EVERYDAY LIFE TO FORMAL SYSTEMS Dr. Albert Mosley Dr. Eulalio Baltazar © Copyright 2019 Dr. Albert Mosley This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. For more information, visit https://creativecommons.org/licenses/by-nc- sa/4.0/ TABLE OF CONTENTS INTRODUCTION: LANGUAGE AND RATIONALITY i-v CHAPTER 1: THE STRUCTURE OF ARGUMENTS A. Distinguishing Arguments from Non-arguments 1 B. Logic in Everyday Life 13 C. Classical Logic: Categorical …………………………………… ……… ……….....17 D. Refutations 23 E. Validity and Soundness……………………………………………………………… 29 F. Modern Logic: Truth-Functional…… ……………………………………………… 32 G. Refutations 38 H. Validity and Soundness……………………………………….……………………... 44 CHAPTER 2: CLASSICAL LOGIC A. Categorical Propositions…………………………………………………… 47 B. Definitions…………………………………………………………… ………………….53 C. Definition by Genus and Difference…………………………………. ……………..63 D. Translation From Ordinary Language to Formal Logic………………………………… 67 CHAPTER 3: CATEGORICAL INFERENCES A. -
Lecture 9: Proof by Induction. 8.1.1. Recursive Definitions
Ling 726: Mathematical Linguistics, Lecture 9: Induction. V. Borschev and B. Partee, October 19, 2004 p. 1 Lecture 9: Proof by Induction. 8.1.1. Recursive definitions. ....................................................................................................................................1 8.4. Peano’s axioms and Proof by Induction. ..........................................................................................................2 Homework 10 ..........................................................................................................................................................4 APPENDIX: ............................................................................................................................................................5 How to use Induction in a Proof. ........................................................................................................................5 Introduction....................................................................................................................................................5 Example 1 ......................................................................................................................................................5 Example 2 ......................................................................................................................................................7 Conclusion .....................................................................................................................................................8 -
Seria “{Tiin\E Umanistice” Lingvistic= [I Literatur= ISSN 1857-209X
Seria “{tiin\e umanistice” Lingvistic= [i Literatur= ISSN 1857-209X DEFINITION OF PROPER NAME VERSUS ITS DICTIONARY DEFINITION Svetlana CORCODEL Catedra Traducere, Interpretare şi Lingvistică Aplicată Intenţionăm ca, prin cele ce urmează, să aducem unele clarificări cu privire la natura raportului dintre sens şi ceea ce numim „definiţie lexicografică” a sensului unui cuvânt. Lăsând la o parte, pentru simplificare, celelalte părţi de vorbire, se poate spune că numele (proprii şi/sau comune) împreună cu adjectivele au ca denotate clase de obiecte, înţelegând prin obiecte toate entităţile cu care este populat universul nostru. Generalizând, putem spune că, în cele mai multe cazuri, o definiţie lexicografică nu poate servi la definirea propriu-zisă a unei clase-denotat. Aceasta se întâmplă din cauza faptului că definiţia lexicografică a unui cuvânt nu este sensul cuvântului, ci aproximaţia sensului acestui cuvânt – o dovedesc şi definiţiile aceluiaşi sens în dicţionare diferite. Caracteristicile comune pentru un semn sunt observabile, dar nu în mod necesar şi definitoriu. Lexicograful nu face decât să selecteze una sau mai multe trăsături comune obiectelor denotate de un semn, conferindu-i, prin ipoteză, un caracter definitoriu. Caracterul de ipoteză al acestei selecţii nu este explicit în formularea definiţiei. Admiţând că sensul poate fi aproximat printr-o definiţie lexicografică, atribuim sensului o interpretare conceptualistă. “Definition – a statement which captures the meaning, the use, the function and the essence of a term or concept.” [12] Definition is one of the most crucial issues in any science; an improper understanding of it can vitiate the success of the whole enterprise not because valid theorems will fail to appear, but because their import will not be grasped. -
Circular Rhetoric and Logic of Paradox
Richard K. Min © 2010–2016 http://www.utdallas.edu/~rkm010300/papers CIRCULAR RHETORIC AND LOGIC OF PARADOX Richard K. Min Senior Lecturer, Department of Computer Science, University of Texas at Dallas, Richardson, Texas 75080, USA Professor, Instituto Teologico Bautista Pablo, Chiapas, Mexico Email: [email protected] 1. Introduction In the early twentieth century, Russell pioneered the formal study of paradox in logic.1 He discovered that any type of vicious circle possessed the potential to cause a paradox to occur. His solution to avoiding the occurrence of a paradox was simply to eliminate any vicious circle or to render it invalid.2 The goal was to keep the emerging system of Formal Logic sound and valid by eliminating or denying the very presence of these potentially damaging paradoxes. Thereafter, the scholarly consensus and trend were established to follow Russell's solution, and many scholarly disciplines still adhere to it even today. Biblical scholarship is no exception, which has caused a devastating impact and has set up confusion by ignoring any literary circular constructs frequently found in the Bible, thereby rendering them invalid. As a result, the study of biblical paradoxes and circular-constructs has been one of the most ignored, confused, and controversial areas for the latter half of the twentieth century.3 However, a renewed interest has occurred due to the innovative pioneering approach in the study of paradox by Kripke (1975).4 The primary critical method in this paper to analyze various literary constructs in circular rhetoric and logic of paradox in the Bible is based on Russell (1910), Kripke (1975), and Min and Gupta (2010). -
Fundamental Circularities in the Theory of Argumentation
University of Windsor Scholarship at UWindsor OSSA Conference Archive OSSA 6 Jun 1st, 9:00 AM - 5:00 PM Fundamental Circularities in the Theory of Argumentation Erik C W Krabbe Groningen University Follow this and additional works at: https://scholar.uwindsor.ca/ossaarchive Part of the Philosophy Commons Krabbe, Erik C W, "Fundamental Circularities in the Theory of Argumentation" (2005). OSSA Conference Archive. 35. https://scholar.uwindsor.ca/ossaarchive/OSSA6/papers/35 This Paper is brought to you for free and open access by the Conferences and Conference Proceedings at Scholarship at UWindsor. It has been accepted for inclusion in OSSA Conference Archive by an authorized conference organizer of Scholarship at UWindsor. For more information, please contact [email protected]. Fundamental Circularities in the Theory of Argumentation ERIK C. W. KRABBE Department of Theoretical Philosophy Groningen University Oude Boteringestraat 52 NL 9712 GL GRONINGEN The Netherlands [email protected] ABSTRACT: Sometimes pernicious circularities appear in definitions of fundamental concepts of argumentation theory. For instance, in pragma-dialectical theory, the concept of a fallacy and that of a critical discussion aiming at resolving a difference of opinion mutually presuppose one another. A similar relationship obtains, in argumentation theory at large, between the concept of argumentation and that of rationality. Again, the concept of an argumentative dialogue presupposes a concept of statement. Yet, statementhood is sometimes claimed to be determined by a locution’s function in dialogue. Similarly, for the concepts of proof and argument. Are these circularities really objectionable? Are they resolvable? If they are not, how can we live with them? It will be argued that some of these problems can be neglected some of the time, but not all of them all of the time. -
Definition in High-School Geometry
THE NATURE 0? DEFINITION IN HIGH-SCHOOL GEOMETRY A CRITIQUE OF CURRENT PRACTICES DISSERTATION Presented In Partial Fulfillment of the Requirements For the Degree Doctor of Philosophy in the Graduate School of The Ohio State university By SHELDON STEPHEN lyîYERS, B.8., B.E.» M, Ed, ****** The Ohio State University 1955 Approved by: Adviser Department of Education AOKNOWLEDCaÆHNTS The writer would like to express his sinoere eppreoiation to Professor Nathan Lazar for making unstint- Ingly available his Intellectual resources and wise counsel during the completion of this study. The writer would also like to express his appreciation to Professor Harold P. Fawcett who first stimulated his Interest In the teach ing of geometry. 11 t able o f C0NTMT3 CHAPTER page I. INTRODUCTION............................... 1 Statement of the problem.................. 1 Importance of the p r o b l e m ................ 3 Scope and limitations of the study........ 4 Definitions of terms ..................... 5 Preview of the study................... , 6 II. ARISTOTELIAN ORIGINS OF SOME DEFINING PRACTICES IN PLANE GE0L5ETRY TETTBOOKS . 8 Definitions should be in the form of "genus at differentia,"....................... 10 Definitions should not use obscure language and should use terms which are prior and more intelligible ................... 18 Prior and more intelligible terms .... 18 Obscure language ..... .............. S7 Definitions through opposites, circular definitions, and definition by coordi nate species .................. SO Circular defiiiitions................ 31 Sequences of ùufinition .............. 33 undefined teriLs............... 36 S u m m a r y ............................. 51 iii CHAPTER PACE Definitions should not oontain redundant or superfluous information •••••••* 55 Definitions must be reversible........ 58 There is only one definition of a thing • • 74 Definitions state what a thing is but not the foot that the thing exists..... -
Logical Fallacies Fallacies of Distraction False Dilemma
1 Critical Thinking: An Introduction to Logic and Logical Fallacies Lecture II Fall 2008 2 Truth Tables and Logical Operators z Face it…some things are either true or false (specifying this formally is called “propositional calculus”) z A “proposition” is a meaningful statement z Limited number of operators: (not, and, or, if…then, if and only if) z Truth tables chart truth value of proposition by laying out state-of-world possibilities z Use of conditional logic (if certain conditions are met, then a proposition is true) 3 4 Forms of Conditional Reasoning, based on “If P then Q” z Valid Forms – Modus Ponens: P, ∴ Q – Modus Tollens: not Q, ∴ not P z Invalid Forms – Affirming the Consequent: Q, ∴ P – Denying the Antecedent: not P, ∴ not Q 5 Logical Fallacies z It is important to identify common ways of thinking falsely so that you can sharpen your own logical analyses z Identifying source of fallacious reasoning often helps clarify ideas you are trying to communicate z TA’s will call you on logical errors (in public) 6 Fallacies of Distraction z Fallacy lies in that you are distracted from “true” premises and led to assume something faulty z Illegitimate use of a logical operator is key z You can identify these fallacies by showing that the main premise doesn’t accurately reflect what’s really going on 7 False Dilemma (misuse of “or”) z A limited number of options (usually two) is given, while in reality there are more options. A false dilemma is an illegitimate use of the "or" operator. -
The Illusory Distinction Between Lexical and Encyclopedic
To appear in: Proceedings on Eleventh International Symposium on Lexicography Laurie Bauer The Illusory Distinction between Lexical and Encyclopedic In NPD kea is defined as ‘a large green New Zealand parrot that usually eats insects but sometimes destroys sheep by slashing the back to feed on the kidney fat: Nestor notabilis’. When I reviewed this dictionary for a local newspaper, I said of this definition While all the facts are correct, and the technical term insectivorous has been avoided for clarity, it seems as odd to define a kea in terms of its sheep-destroying properties as it would be to define it in terms of its windscreen-wiper-destroying properties. These are things that keas do from time to time, not things which they are. A kea that never saw a sheep would still be a kea! (Bauer 2001). A lexicographer friend, commenting on my review, said that the definition looked like a good one, and that my comment was an unfair one. I then came across (as a consumer this time, not a critic) the CED’s definition of ram- pion: ‘a bell-flower (Campanula rapunculus) whose root is eaten as a salad…’ As an analyst, I have a great difficulty in deciding how much of this information is lexical and how much is encyclopedic. If the definition had read ‘a bell-flower (Campanula rapunculus); the root of the plant as a vegetable…’ I might not have noticed. As it is, the root being eaten looks like encyclopedic information. As it happened, it was precisely this information that I required in the context in which I had met the word, so that the definition with this marginally encyclopedic information was much more useful than a straight definition might have been. -
Lexical Definition Is the Meaning of the Term In
Kinds and techniques of definition: Lexical definition is the meaning of the term in common usage Contextual definition a word’s meaning is different in different contexts, and thus it is only in context, or use, that we can understand the meaning. Intensional definition gives the meaning of a term by giving all the properties required of something that falls under that definition; the necessary and sufficient conditions for belonging to the set being defined. Extensional definition gives the meaning of a term by listing everything in its extension - that is, everything that falls under that definition. Ostensive definition conveys the meaning of a term by pointing out examples of what is defined by it. Operational definition details the precise procedure through which we can recognize an entity; of a quantity is a specific process whereby it is measured. Theoretical definition gives the meaning of a word in terms of the theories of a specific discipline. Definition by genus and difference is one in which a word or concept that indicates a species -- a specific type of item, not necessarily a biological category -- is described first by a broader category, the genus, then distinguished from other items in that category by differentia. Circular definition A circular definition is one that assumes a prior understanding of the term being defined. For instance, we can define "oak" as a tree which has catkins and grows from an acorn, and then define "acorn" as the nut produced by an oak tree. To someone not knowing either which trees are oaks or which nuts are acorns, the definition is fairly useless.