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Language and Definitions
This asset is intentionally omitted from this text. It may be accessed at Language and Definitions www.mcescher.com. (Waterfall by 1 Language Functions M.C. Escher) 2 Emotive Language, Neutral Language, and Disputes 3 Disputes and Ambiguity 4 Definitions and Their Uses 5 The Structure of Definitions: Extension and Intension 6 Definition by Genus and Difference 1 Language Functions When people reason, they typically do so using language, manipulating proposi- tions in a logical or informative spirit. But language is used in a great variety of ways, only some of which are informative. Without the intention to inform, we may express ourselves using language: “That’s really great!” we may say; and the poet, overcome by the beauty of an ancient city, channels his emotions in writing these lines: Match me such marvel, save in Eastern clime— A rose-red city—“half as old as time.”1 Of course, some expressive discourse also has informative content, and may express attitudes as well as beliefs. Grow old along with me! The best is yet to be, The last of life for which the first was made.2 Moreover, some discourse is directive, with or without expressive or informa- tive elements. It seeks to guide or to command. “Step on the scale, please,” we may be told, or we may receive this good advice: Drive defensively. The cemetery is full of law-abiding citizens who had the right of way. A mixture of functions is a natural feature of almost all our uses of language. We can see this in our own speech and writing. -
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16 Definition Robert H. Ennis 1. Introduction1 Definition, though often neglected, plays an important role in critical thinking by helping us make our positions, inquiries, and reasoning clear. Every definition has three dimensions: form, action, and content. The form of a definition is essentially the structure of the definition. An example of form is definition by synonym, a simple form of definition in which the word being defined is equal in meaning to one other word. Three definitional actions that can be performed with any form of defini- tion are reporting a meaning, stipulating a meaning, and advocating a mean- ing that incorporates a position on an issue. This chapter focuses on these first two dimensions, form and action. The third dimension, content, deals with the meaning conveyed by the def- inition. The content dimension is enormous because it involves the defini- tional content of all subject matter areas, as well as all other areas of human life. Attention to the content dimension will here be exemplified only in a dis- cussion of a case of probable equivocation with the term ‘reliability’. To the extent possible, a definition should be clear, brief, efficient, informa- tive, responsive to background information, and easy to remember and under- stand. It should be at an appropriate level of sophistication and difficulty for the situation. It should employ an appropriate form and have a reasonable amount of vagueness and specificity. Because so much depends on the situa- tion, and because these general criteria overlap to some extent, informed cau- tious judgment is required. 1 I deeply appreciate the help and advice of Jennie Berg, David Hitchcock, and Kevin Possin in the development of this chapter. -
Critical Thinking
Critical Thinking Mark Storey Bellevue College Copyright (c) 2013 Mark Storey Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is found at http://www.gnu.org/copyleft/fdl.txt. 1 Contents Part 1 Chapter 1: Thinking Critically about the Logic of Arguments .. 3 Chapter 2: Deduction and Induction ………… ………………. 10 Chapter 3: Evaluating Deductive Arguments ……………...…. 16 Chapter 4: Evaluating Inductive Arguments …………..……… 24 Chapter 5: Deductive Soundness and Inductive Cogency ….…. 29 Chapter 6: The Counterexample Method ……………………... 33 Part 2 Chapter 7: Fallacies ………………….………….……………. 43 Chapter 8: Arguments from Analogy ………………………… 75 Part 3 Chapter 9: Categorical Patterns….…….………….…………… 86 Chapter 10: Propositional Patterns……..….…………...……… 116 Part 4 Chapter 11: Causal Arguments....……..………….………....…. 143 Chapter 12: Hypotheses.….………………………………….… 159 Chapter 13: Definitions and Analyses...…………………...…... 179 Chapter 14: Probability………………………………….………199 2 Chapter 1: Thinking Critically about the Logic of Arguments Logic and critical thinking together make up the systematic study of reasoning, and reasoning is what we do when we draw a conclusion on the basis of other claims. In other words, reasoning is used when you infer one claim on the basis of another. For example, if you see a great deal of snow falling from the sky outside your bedroom window one morning, you can reasonably conclude that it’s probably cold outside. Or, if you see a man smiling broadly, you can reasonably conclude that he is at least somewhat happy. -
A Practical Guide to Constructing and Evaluating Definitions of Terms Definition: a Practical Guide to Constructing and Evaluating Definitions of Terms
Definition: A practical guide to constructing and evaluating definitions of terms Definition: A practical guide to constructing and evaluating definitions of terms David Hitchcock WINDSOR STUDIES IN ARGUMENTATION 11 WINDSOR, ON Copyright David Hitchcock and Windsor Studies in Argumentation Digital Copies of Definition: A practical guide to constructing and evaluating definitions of terms by David Hitchcock is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted. Manuscript editing by Tamilyn Mulvaney Cover Art by Jonathan Whitehead (https://www.jonathanwhitehead.com/) To Inga, with love Contents viii Preface ix 1. Introduction 1 1.1 Occasions for defining terms 1 1.2 The definition of ‘term’ 2 1.3 Three dimensions of definitions 3 2. Acts of the definer 7 2.1 Reporting 7 2.2 Stipulating 25 2.3 Advocating 52 3. Content of the definition 76 3.1 Choice of words in the defining part of a 76 definition 3.2 Choice of words suitable for the 82 addressees of a definition 3.3 Theoretical constraints on the choice of 84 words in a definition 3.4 Choice of information to convey 86 4. Forms of definition: normal forms 87 4.1 Definitions by synonym 89 4.2 Definitions by antonym 96 4.3 Definitions by extended synonym 99 4.4 Definitions by genus and differentia 102 4.5 Contextual definitions 124 4.6 Range definitions 137 4.7 Extensional definitions 143 5. Forms of definition: other forms 145 5.1 Operational definitions 145 5.2 Giving examples, non-examples and 154 borderline cases 5.3 Ostensive definitions 159 5.4 Use in a sentence 160 6. -
(#5) a Tripartite Theory of 'Definition'
A Tripartite Theory of 'Definition' Abstract: This essay analyzes the nature of 'definition' as a definiendum-to-definiens relationship. A 'tripartite theory' of definition is hypothesized. It states that whenever a person defines a definiendum-to-a-definiens, that person can only be interpreted as asserting either a 'reportive definition,' a 'theoretic definition,' or a 'stipulative definition.' In order to verify the truth of the theory, a conceptual investigation about the functional use of definitions in various situations is described by examples. Of special interest are the examples of 'stipulative definition.' As a mathematical anti-realist, I contend that formal systems are largely composed of stipulative definitions that are 'precisely formalized' and 'abbreviatory' in nature. To back up the tripartite theory, I comment about the entries under ‘definition’ in The Cambridge Dictionary of Philosophy (1999). Introduction With a tripartite theory of definition, I hypothesize that whenever a person asserts how a linguistic entity (i.e. word, phrase, symbol, definiendum) has been used, is used, or is going to be used; that person can only be interpreted as asserting a reportive (i.e. lexical) definition, theoretic definition, or a stipulative definition. If this hypothesis is true, we should be able to understand any definition of a definiendum-to-definiens form (in a context) as being one of these three types. If this hypothesis is false, we should be able to find an instance of a linguistic token-to-meaning form that cannot be interpreted as reportive, theoretic, or stipulative. The tripartite theory is not an a priori truth; it is a social scientific conceptual truth that could be disconfirmed with counter examples. -
GST203 Final 1__Docx
Course Information Course Code: GST 203 Course Title: Introduction to Philosophy and Logic Credit Unit: 2 Course Status: Compulsory Semester: 2nd Required Study Hour: 4 hours per week Year of Course Review 2018 Course Team Course Reviewer: Dr, Oyekunle O. Adegboyega Instructional Designer: Inegbedion, Juliet O. (Ph.D.) Learning Technologists: Dr. Adewale Adesina, Nura Maidoki,& Henry Ude Content Editor: Prof. Uduma Oji Uduma Copy Editors: Inegbedion, Juliet O. (Ph.D.) & Christiana Uzoukwu (Mrs) Ice Breaker Upload your passport and introduce yourself by stating your names, what you do for a living, your hobby, your expectation in this course and the name you would prefer to be called during this course. NATIONAL OPEN UNIVERSITY OF NIGERIA 1 © 2018 by NOUN Press National Open University of Nigeria Headquarters University Village Plot 91, Cadastral Zone Nnamdi Azikiwe Expressway Jabi, Abuja Lagos Office 14/16 Ahmadu Bello Way Victoria Island, Lagos e-mail: [email protected] URL: www.nou.edu.ng All rights reserved. No part of this book may be reproduced, in any form or by any means, without permission in writing from the publisher. Published by: National Open University of Nigeria Printed by NOUN Press [email protected] Printed 2018 ISBN: 978-978-8521-92-1 2 Course Guide Introduction Welcome to GST 203: A Study Guide for the Distance Learner. GST 203 is a two-credit unit course that has minimum duration of one semester. It is a compulsory course for undergraduate students in Science Programmes including Science Education in the university. The course guides you on the techniques of studying to achieve academic success through open and distance learning. -
Definitions: How to Say What You Mean by Laurie Endicott Thomas, MA, ELS
Definitions: How to Say What You Mean By Laurie Endicott Thomas, MA, ELS ou can use words to convey meaning only if your consider giving them the dictionary definition of that word, to audience understands what you intend those words save them the trouble of looking the word up. If the diction- Yto mean. You can baffle your readers by using words ary definition of a word differs from how that word is com- that mean nothing to them. You can also mislead them by monly used, you may need to give the reportive definition and using words that seem to mean something other than what explain how it differs from the lexical definition. For example, you meant to say. One way to avoid those problems is to use a word may mean something different to medical doctors common words whose meaning would be obvious to anyone. than it means to members of the general public. For example, you would write “itching” instead of “pruritus” When you are editing someone else’s work, look to see in a piece for a lay audience. whether the lexical definitions that the author gave match the Of course, we medical communicators must often dis- dictionary definitions. If they don’t match, query the author. cuss concepts that are unfamiliar to most people. Thus, we Sometimes there are good reasons for a mismatch, such as in must often use words that are new to some members of our cases of stipulative definition. intended audience. Sometimes we must even use familiar • Stipulative definition—a definition that gives a term a words that take on an unusual meaning in a particular con- specific meaning in the context of a particular discussion text. -
Chapter 3-Disputes and Definitions
Logic: A Brief Introduction Ronald L. Hall, Stetson University Chapter 3-Disputes and Definitions 3.1 Introduction At this point, we must deal with one more consequence that the recognition of the pragmatic dimension of language has for the study of logic. When human beings construct arguments, they do so to establish that some conclusion follows from a set of premises. What is the context in which such an argument would normally be constructed? Often, arguments are constructed because there is dispute about the truth of some particular sentence. No sentence is worthy of belief unless we take it to be true. That is, to believe that P (some sentence) is just to believe that P is true. Remember that establishing that some sentence follows from a set of premises does not establish that the sentence is true, unless of course, all of the premises are true. That is, the way to settle disputes about whether a particular sentence is true or not is to establish that sentence as the conclusion of a sound argument. And as we have mentioned, constructing a sound argument is not always easy to do. We can, however, always make a first step in the resolution of disputes about the truth or falsity of a sentence by showing that a particular conclusion validly follows from a set of premises that are more or less uncontroversial. While we might well settle a disagreement about the truth of a particular sentence by constructing an argument with this sentence as its conclusion, not all disputes hinge on whether some particular sentence is true or false. -
Definitions and the Growth of Knowledge: the Main Ideas*
Summarium 45 (65) – 2016 ROBERT KUBLIKOWSKI* DEFINITIONS AND THE GROWTH OF KNOWLEDGE: THE MAIN IDEAS* Are definitions useful in an empirical knowledge-gaining process? What roles do definitions play in the process of the growth of empirical knowl- edge? Two attitudes towards definitions can be distinguished in the history of the theory of definitions. According to the first and positive one, definitions have been useful in science. The second attitude has been a critical one. I try to defend the view about the usefulness of definitions, on the one hand, by application of Hilary Putnam’s theory of reference of natural kind terms. On the other hand, Karl Popper’s fallibilism is implemented to the theory of definitions, especially to the theory of real definitions. The structure of this text is as follows: (I) the origin and the development of the theory of definitions, (II) Popperian antidefinitionism, (III) the theory of definitions and the Putnamian theory of meaning and (IV) the theory of stipulative, lexical and persuasive definitions. I. THE ORIGIN AND THE DEVELOPMENT OF THE THEORY OF DEFINITIONS The known reflection on definitions began with Aristotle.1 He distin- guished two types of definitions — of a thing and of a name. The definition of a thing was acknowledged as the most important one. It was called the real definition by genus and differentia (the genus-differentia definition). Its ROBERT KUBLIKOWSKI, PhD — Assistant Professor, The Department of Methodology of Science, Faculty of Philosophy, The John Paul II Catholic University of Lublin; associate mem- ber of the Faculty of Philosophy of TN KUL; address: Al. -
Senja Pollak Polavtomatsko Modeliranje Področnega Znanja Iz
Univerza v Ljubljani/University of Ljubjana Filozofska fakulteta/Faculty of Arts Oddelek za prevajalstvo/Department of Translation Senja Pollak Polavtomatsko modeliranje področnega znanja iz večjezičnih korpusov Semi-automatic Domain Modeling from Multilingual Corpora Doktorska disertacija/Doctoral dissertation Mentorica/Supervisor: Študijski program: Prevodoslovje Izr. prof. dr. Špela Vintar Study program: Translation Studies University of Ljubljana, Faculty of Arts, Ljubljana, Slovenia Somentorica/Co-supervisor: Prof.ssa. Paola Velardi, University La Sapienza, Rome, Italy Ljubljana, 2014 Table of contents Acknowledgements .......................................................................................................................... v Povzetek ......................................................................................................................................... vii Abstract .......................................................................................................................................... ix 1 Introduction ............................................................................................................................... 1 1.1 Domain modeling .................................................................................................................... 1 1.2 Research goals ......................................................................................................................... 1 1.3 Contributions to science ......................................................................................................... -
Definitions, Uses and Varieties Of
Definitions, Uses and Varieties of 1. Uses Definition is the activity of explaining to an audience the meaning of an expression. A definition is a product of that activity: a sentence the understanding of parts of which (the definiens ) can underwrite an audience’s understanding of the rest (the definiendum ). For example, understanding ‘is the activity of explaining the meaning of an expression’ ( definiens ) might enable one to understand a meaning of ‘definition’ ( definiendum ). Notice that definition needn’t proceed via definitions . Plausibly, the first few explanations of meaning a child is offered don’t go via sentences. Beside the immediate purpose of underwriting explanations of meaning, a definition can serve countless others. One may stipulate that an expression is to enjoy a meaning—deploying a stipulative definition . E.g., for purposes of this entry, let x be a definition iff x is a sentence used to explain meaning. (Here and throughout, initial universal quantification is suppressed and use/mention distinctions ignored.) Less immediate purposes of stipulation include abbreviation—hence, abbreviative definition —itself at the service of tractability and comprehensibility. Another purpose is marking out the definiens as of special interest, perhaps as carving at an important joint. (Whitehead and Russell, 1910.) An alternative purpose is to describe the meaning an expression carries with respect to some language or population—a descriptive or lexical definition . Thus: in English, x is a definition iff x is a sentence used to explain meaning. Less immediate purposes here include illuminating a less well understood definiendum by appeal to a 1 better understood definiens , revealing the basis of one’s understanding of the definiendum , or establishing dependence of the definiendum on the definiens . -
INTRODUCTORY LOGIC – Glossary of Key Terms This Glossary Includes Terms That Are Defined in the Text, in the Lesson and on the Page Noted
INTRODUCTORY LOGIC – Glossary of key terms This glossary includes terms that are defined in the text, in the lesson and on the page noted. A statement Lesson 13, page 91 A categorical statement of the form All S is P, also called a universal affirmative. Accent Lesson 34, page 265 Changing the meaning of a sentence through improper emphasis. A fallacy of ambiguity. Ad baculum Lesson 33, page 258 Latin for “to the stick”; an illegitimate appeal to force, usually a thinly-veiled threat. A fallacy of distraction. Ad hominem Lesson 33, page 259 Latin for “to the man”; a verbal attack on the character of one’s opponent. A fallacy of distraction. Ad ignorantiam Lesson 33, page 260 Latin for “to ignorance”; an argument from lack of evidence. A fallacy of distraction. Ad populum Lesson 33, page 258 Latin for “to the people”; an illegitimate appeal to a majority. A fallacy of distraction. Affirming the consequent Lesson 31, page 229 An invalid mixed hypothetical syllogism of the form If p then q, q, therefore p. Ambiguous Lesson 1, page 10 Having more than one possible meaning. Amphiboly Lesson 34, page 266 A vagueness of grammar that disguises or alters the meaning. A fallacy of ambiguity. Antecedent Lesson 31, page 228 In a hypothetical statement if p then q, the antecedent is the statement represented by the p. Apparent disagreement Lesson 10, page 77 A difference of opinion or perception. Apriorism Lesson 35, page 273 A hasty generalization. A fallacy of form. Argument Lesson 19, page 141 A set of statements, one of which appears to be implied or supported by the others.