Ambiguity Avoidance Is Overrated✝ Thomas Wasow Stanford University
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Two-Dimensionalism: Semantics and Metasemantics
Two-Dimensionalism: Semantics and Metasemantics YEUNG, \y,ang -C-hun ...:' . '",~ ... ~ .. A Thesis Submitted in Partial Fulfilment of the Requirements for the Degree of Master of Philosophy In Philosophy The Chinese University of Hong Kong January 2010 Abstract of thesis entitled: Two-Dimensionalism: Semantics and Metasemantics Submitted by YEUNG, Wang Chun for the degree of Master of Philosophy at the Chinese University of Hong Kong in July 2009 This ,thesis investigates problems surrounding the lively debate about how Kripke's examples of necessary a posteriori truths and contingent a priori truths should be explained. Two-dimensionalism is a recent development that offers a non-reductive analysis of such truths. The semantic interpretation of two-dimensionalism, proposed by Jackson and Chalmers, has certain 'descriptive' elements, which can be articulated in terms of the following three claims: (a) names and natural kind terms are reference-fixed by some associated properties, (b) these properties are known a priori by every competent speaker, and (c) these properties reflect the cognitive significance of sentences containing such terms. In this thesis, I argue against two arguments directed at such 'descriptive' elements, namely, The Argument from Ignorance and Error ('AlE'), and The Argument from Variability ('AV'). I thereby suggest that reference-fixing properties belong to the semantics of names and natural kind terms, and not to their metasemantics. Chapter 1 is a survey of some central notions related to the debate between descriptivism and direct reference theory, e.g. sense, reference, and rigidity. Chapter 2 outlines the two-dimensional approach and introduces the va~ieties of interpretations 11 of the two-dimensional framework. -
Scope Ambiguity in Syntax and Semantics
Scope Ambiguity in Syntax and Semantics Ling324 Reading: Meaning and Grammar, pg. 142-157 Is Scope Ambiguity Semantically Real? (1) Everyone loves someone. a. Wide scope reading of universal quantifier: ∀x[person(x) →∃y[person(y) ∧ love(x,y)]] b. Wide scope reading of existential quantifier: ∃y[person(y) ∧∀x[person(x) → love(x,y)]] 1 Could one semantic representation handle both the readings? • ∃y∀x reading entails ∀x∃y reading. ∀x∃y describes a more general situation where everyone has someone who s/he loves, and ∃y∀x describes a more specific situation where everyone loves the same person. • Then, couldn’t we say that Everyone loves someone is associated with the semantic representation that describes the more general reading, and the more specific reading obtains under an appropriate context? That is, couldn’t we say that Everyone loves someone is not semantically ambiguous, and its only semantic representation is the following? ∀x[person(x) →∃y[person(y) ∧ love(x,y)]] • After all, this semantic representation reflects the syntax: In syntax, everyone c-commands someone. In semantics, everyone scopes over someone. 2 Arguments for Real Scope Ambiguity • The semantic representation with the scope of quantifiers reflecting the order in which quantifiers occur in a sentence does not always represent the most general reading. (2) a. There was a name tag near every plate. b. A guard is standing in front of every gate. c. A student guide took every visitor to two museums. • Could we stipulate that when interpreting a sentence, no matter which order the quantifiers occur, always assign wide scope to every and narrow scope to some, two, etc.? 3 Arguments for Real Scope Ambiguity (cont.) • But in a negative sentence, ¬∀x∃y reading entails ¬∃y∀x reading. -
On the Logic of Two-Dimensional Semantics
Matrices and Modalities: On the Logic of Two-Dimensional Semantics MSc Thesis (Afstudeerscriptie) written by Peter Fritz (born March 4, 1984 in Ludwigsburg, Germany) under the supervision of Dr Paul Dekker and Prof Dr Yde Venema, and submitted to the Board of Examiners in partial fulfillment of the requirements for the degree of MSc in Logic at the Universiteit van Amsterdam. Date of the public defense: Members of the Thesis Committee: June 29, 2011 Dr Paul Dekker Dr Emar Maier Dr Alessandra Palmigiano Prof Dr Frank Veltman Prof Dr Yde Venema Abstract Two-dimensional semantics is a theory in the philosophy of language that pro- vides an account of meaning which is sensitive to the distinction between ne- cessity and apriority. Usually, this theory is presented in an informal manner. In this thesis, I take first steps in formalizing it, and use the formalization to present some considerations in favor of two-dimensional semantics. To do so, I define a semantics for a propositional modal logic with operators for the modalities of necessity, actuality, and apriority that captures the relevant ideas of two-dimensional semantics. I use this to show that some criticisms of two- dimensional semantics that claim that the theory is incoherent are not justified. I also axiomatize the logic, and compare it to the most important proposals in the literature that define similar logics. To indicate that two-dimensional semantics is a plausible semantic theory, I give an argument that shows that all theorems of the logic can be philosophically justified independently of two-dimensional semantics. Acknowledgements I thank my supervisors Paul Dekker and Yde Venema for their help and encour- agement in preparing this thesis. -
Useful Argumentative Essay Words and Phrases
Useful Argumentative Essay Words and Phrases Examples of Argumentative Language Below are examples of signposts that are used in argumentative essays. Signposts enable the reader to follow our arguments easily. When pointing out opposing arguments (Cons): Opponents of this idea claim/maintain that… Those who disagree/ are against these ideas may say/ assert that… Some people may disagree with this idea, Some people may say that…however… When stating specifically why they think like that: They claim that…since… Reaching the turning point: However, But On the other hand, When refuting the opposing idea, we may use the following strategies: compromise but prove their argument is not powerful enough: - They have a point in thinking like that. - To a certain extent they are right. completely disagree: - After seeing this evidence, there is no way we can agree with this idea. say that their argument is irrelevant to the topic: - Their argument is irrelevant to the topic. Signposting sentences What are signposting sentences? Signposting sentences explain the logic of your argument. They tell the reader what you are going to do at key points in your assignment. They are most useful when used in the following places: In the introduction At the beginning of a paragraph which develops a new idea At the beginning of a paragraph which expands on a previous idea At the beginning of a paragraph which offers a contrasting viewpoint At the end of a paragraph to sum up an idea In the conclusion A table of signposting stems: These should be used as a guide and as a way to get you thinking about how you present the thread of your argument. -
The “Ambiguity” Fallacy
\\jciprod01\productn\G\GWN\88-5\GWN502.txt unknown Seq: 1 2-SEP-20 11:10 The “Ambiguity” Fallacy Ryan D. Doerfler* ABSTRACT This Essay considers a popular, deceptively simple argument against the lawfulness of Chevron. As it explains, the argument appears to trade on an ambiguity in the term “ambiguity”—and does so in a way that reveals a mis- match between Chevron criticism and the larger jurisprudence of Chevron critics. TABLE OF CONTENTS INTRODUCTION ................................................. 1110 R I. THE ARGUMENT ........................................ 1111 R II. THE AMBIGUITY OF “AMBIGUITY” ..................... 1112 R III. “AMBIGUITY” IN CHEVRON ............................. 1114 R IV. RESOLVING “AMBIGUITY” .............................. 1114 R V. JUDGES AS UMPIRES .................................... 1117 R CONCLUSION ................................................... 1120 R INTRODUCTION Along with other, more complicated arguments, Chevron1 critics offer a simple inference. It starts with the premise, drawn from Mar- bury,2 that courts must interpret statutes independently. To this, critics add, channeling James Madison, that interpreting statutes inevitably requires courts to resolve statutory ambiguity. And from these two seemingly uncontroversial premises, Chevron critics then infer that deferring to an agency’s resolution of some statutory ambiguity would involve an abdication of the judicial role—after all, resolving statutory ambiguity independently is what judges are supposed to do, and defer- ence (as contrasted with respect3) is the opposite of independence. As this Essay explains, this simple inference appears fallacious upon inspection. The reason is that a key term in the inference, “ambi- guity,” is critically ambiguous, and critics seem to slide between one sense of “ambiguity” in the second premise of the argument and an- * Professor of Law, Herbert and Marjorie Fried Research Scholar, The University of Chi- cago Law School. -
4 Quantifiers and Quantified Arguments 4.1 Quantifiers
4 Quantifiers and Quantified Arguments 4.1 Quantifiers Recall from Chapter 3 the definition of a predicate as an assertion con- taining one or more variables such that, if the variables are replaced by objects from a given Universal set U then we obtain a proposition. Let p(x) be a predicate with one variable. Definition If for all x ∈ U, p(x) is true, we write ∀x : p(x). ∀ is called the universal quantifier. Definition If there exists x ∈ U such that p(x) is true, we write ∃x : p(x). ∃ is called the existential quantifier. Note (1) ∀x : p(x) and ∃x : p(x) are propositions and so, in any given example, we will be able to assign truth-values. (2) The definitions can be applied to predicates with two or more vari- ables. So if p(x, y) has two variables we have, for instance, ∀x, ∃y : p(x, y) if “for all x there exists y for which p(x, y) is holds”. (3) Let A and B be two sets in a Universal set U. Recall the definition of A ⊆ B as “every element of A is in B.” This is a “for all” statement so we should be able to symbolize it. We do so by first rewriting the definition as “for all x ∈ U, if x is in A then x is in B, ” which in symbols is ∀x ∈ U : if (x ∈ A) then (x ∈ B) , or ∀x :(x ∈ A) → (x ∈ B) . 1 (4*) Recall that a variable x in a propositional form p(x) is said to be free. -
The Ambiguous Nature of Language
International J. Soc. Sci. & Education 2017 Vol.7 Issue 4, ISSN: 2223-4934 E and 2227-393X Print The Ambiguous Nature of Language By Mohammad Awwad Applied Linguistics, English Department, Lebanese University, Beirut, LEBANON. [email protected] Abstract Linguistic ambiguity is rendered as a problematic issue since it hinders precise language processing. Ambiguity leads to a confusion of ideas in the reader’s mind when he struggles to decide on the precise meaning intended behind an utterance. In the literature relevant to the topic, no clear classification of linguistic ambiguity can be traced, for what is considered syntactic ambiguity, for some linguists, falls under pragmatic ambiguity for others; what is rendered as lexical ambiguity for some linguists is perceived as semantic ambiguity for others and still as unambiguous to few. The problematic issue, hence, can be recapitulated in the abstruseness hovering around what is linguistic ambiguity, what is not, and what comprises each type of ambiguity in language. The present study aimed at propounding lucid classification of ambiguity types according to their function in context by delving into ambiguity types which are displayed in English words, phrases, clauses, and sentences. converges in an attempt to disambiguate English language structures, and thus provide learners with a better language processing outcome and enhance teachers with a more facile and lucid teaching task. Keywords: linguistic ambiguity, language processing. 1. Introduction Ambiguity is derived from ‘ambiagotatem’ in Latin which combined ‘ambi’ and ‘ago’ each word meaning ‘around’ or ‘by’ (Atlas,1989) , and thus the concept of ambiguity is hesitation, doubt, or uncertainty and that concept associated the term ‘ambiguous’ from the first usage until the most recent linguistic definition. -
Some Common Fallacies of Argument Evading the Issue: You Avoid the Central Point of an Argument, Instead Drawing Attention to a Minor (Or Side) Issue
Some Common Fallacies of Argument Evading the Issue: You avoid the central point of an argument, instead drawing attention to a minor (or side) issue. ex. You've put through a proposal that will cut overall loan benefits for students and drastically raise interest rates, but then you focus on how the system will be set up to process loan applications for students more quickly. Ad hominem: Here you attack a person's character, physical appearance, or personal habits instead of addressing the central issues of an argument. You focus on the person's personality, rather than on his/her ideas, evidence, or arguments. This type of attack sometimes comes in the form of character assassination (especially in politics). You must be sure that character is, in fact, a relevant issue. ex. How can we elect John Smith as the new CEO of our department store when he has been through 4 messy divorces due to his infidelity? Ad populum: This type of argument uses illegitimate emotional appeal, drawing on people's emotions, prejudices, and stereotypes. The emotion evoked here is not supported by sufficient, reliable, and trustworthy sources. Ex. We shouldn't develop our shopping mall here in East Vancouver because there is a rather large immigrant population in the area. There will be too much loitering, shoplifting, crime, and drug use. Complex or Loaded Question: Offers only two options to answer a question that may require a more complex answer. Such questions are worded so that any answer will implicate an opponent. Ex. At what point did you stop cheating on your wife? Setting up a Straw Person: Here you address the weakest point of an opponent's argument, instead of focusing on a main issue. -
Is 'Argument' Subject to the Product/Process Ambiguity?
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by University of Richmond University of Richmond UR Scholarship Repository Philosophy Faculty Publications Philosophy 2011 Is ‘argument’ subject to the product/process ambiguity? G. C. Goddu University of Richmond, [email protected] Follow this and additional works at: http://scholarship.richmond.edu/philosophy-faculty- publications Part of the Philosophy Commons Recommended Citation Goddu, G. C. "Is ‘argument’ Subject to the Product/process Ambiguity?" Informal Logic 31, no. 2 (2011): 75-88. This Article is brought to you for free and open access by the Philosophy at UR Scholarship Repository. It has been accepted for inclusion in Philosophy Faculty Publications by an authorized administrator of UR Scholarship Repository. For more information, please contact [email protected]. Is ‘argument’ subject to the product/process ambiguity? G.C. GODDU Department of Philosophy University of Richmond Richmond, VA 23173 U.S.A. [email protected] Abstract: The product/process dis- Resumé: La distinction proces- tinction with regards to “argument” sus/produit appliquée aux arguments has a longstanding history and foun- joue un rôle de fondement de la dational role in argumentation the- théorie de l’argumentation depuis ory. I shall argue that, regardless of longtemps. Quelle que soit one’s chosen ontology of arguments, l’ontologie des arguments qu’on arguments are not the product of adopte, je soutiens que les argu- some process of arguing. Hence, ments ne sont pas le produit d’un appeal to the distinction is distorting processus d’argumentation. Donc the very organizational foundations l’usage de cette distinction déforme of argumentation theory and should le fondement organisationnel de la be abandoned. -
Ambiguity in Argument Jan Albert Van Laar*
Argument and Computation Vol. 1, No. 2, June 2010, 125–146 Ambiguity in argument Jan Albert van Laar* Department of Theoretical Philosophy, University of Groningen, Groningen 9712 GL, The Netherlands (Received 8 September 2009; final version received 11 February 2010) The use of ambiguous expressions in argumentative dialogues can lead to misunderstanding and equivocation. Such ambiguities are here called active ambiguities. However, even a normative model of persuasion dialogue ought not to ban active ambiguities altogether, one reason being that it is not always possible to determine beforehand which expressions will prove to be actively ambiguous. Thus, it is proposed that argumentative norms should enable each participant to put forward ambiguity criticisms as well as self-critical ambiguity corrections, inducing them to improve their language if necessary. In order to discourage them from nitpicking and from arriving at excessively high levels of precision, the parties are also provided with devices with which to examine whether the ambiguity corrections or ambiguity criticisms have been appropriate. A formal dialectical system is proposed, in the Hamblin style, that satisfies these and some other philosophical desiderata. Keywords: active ambiguity; argument; critical discussion; equivocation; persuasion dialogue; pseudo-agreement; pseudo-disagreement 1. Introduction Argumentative types of dialogue can be hampered by expressions that are ambiguous or equivocal. A participant can show dissatisfaction with such ambiguities by disambiguating the formulations he has used or by inciting the other side to improve upon their formulations. A typical example can be found in the case where W.B. had been arrested both for drink and driving and for driving under suspension. -
Lecture 1: Propositional Logic
Lecture 1: Propositional Logic Syntax Semantics Truth tables Implications and Equivalences Valid and Invalid arguments Normal forms Davis-Putnam Algorithm 1 Atomic propositions and logical connectives An atomic proposition is a statement or assertion that must be true or false. Examples of atomic propositions are: “5 is a prime” and “program terminates”. Propositional formulas are constructed from atomic propositions by using logical connectives. Connectives false true not and or conditional (implies) biconditional (equivalent) A typical propositional formula is The truth value of a propositional formula can be calculated from the truth values of the atomic propositions it contains. 2 Well-formed propositional formulas The well-formed formulas of propositional logic are obtained by using the construction rules below: An atomic proposition is a well-formed formula. If is a well-formed formula, then so is . If and are well-formed formulas, then so are , , , and . If is a well-formed formula, then so is . Alternatively, can use Backus-Naur Form (BNF) : formula ::= Atomic Proposition formula formula formula formula formula formula formula formula formula formula 3 Truth functions The truth of a propositional formula is a function of the truth values of the atomic propositions it contains. A truth assignment is a mapping that associates a truth value with each of the atomic propositions . Let be a truth assignment for . If we identify with false and with true, we can easily determine the truth value of under . The other logical connectives can be handled in a similar manner. Truth functions are sometimes called Boolean functions. 4 Truth tables for basic logical connectives A truth table shows whether a propositional formula is true or false for each possible truth assignment. -
Fuzziness-Vagueness-Generality-Ambiguity. Journal of Pragmatics (Elsevier Science B.V
Fuzziness-vagueness-generality-ambiguity. Journal of Pragmatics (Elsevier Science B.V. in New York & Amsterdam), 1998, 29 (1): pp 13-31. Fuzziness---Vagueness---Generality---Ambiguity1 Qiao Zhang Published by Journal of Pragmatics (Elsevier Science B.V. in New York & Amsterdam), 1998, 29(1): pp 13-31. Contact: Dr Grace Zhang Department of Languages and Intercultural Education Curtin University of Technology GPO Box 1987 Perth, Western Australia 6845 Australia Tel: +61 8 9266 3478 Fax: +61 8 9266 4133 Email: [email protected] Abstract In this paper, I attempt to distinguish four linguistic concepts: fuzziness, vagueness, generality and ambiguity. The distinction between the four concepts is a significant matter, both theoretically and practically. Several tests are discussed from the perspectives of semantics, syntax and pragmatics. It is my contention that fuzziness, vagueness, and generality are licensed by Grice's Co-operative Principle, i.e. they are just as important as precision in language. I conclude that generality, vagueness, and fuzziness are under-determined, and ambiguity is over-determined. Fuzziness differs from generality, vagueness, and ambiguity in that it is not simply a result of a one-to- many relationship between a general meaning and its specifications; nor a list of possible related interpretations derived from a vague expression; nor a list of unrelated meanings denoted by an ambiguous expression. Fuzziness is inherent in the sense that it has no clear-cut referential boundary, and is not resolvable with resort to context, as opposed to generality, vagueness, and ambiguity, which may be contextually eliminated. It is also concluded that fuzziness is closely involved with language users' judgments.