Presupposition: What Went Wrong? *
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Chapter 5: Methods of Proof for Boolean Logic
Chapter 5: Methods of Proof for Boolean Logic § 5.1 Valid inference steps Conjunction elimination Sometimes called simplification. From a conjunction, infer any of the conjuncts. • From P ∧ Q, infer P (or infer Q). Conjunction introduction Sometimes called conjunction. From a pair of sentences, infer their conjunction. • From P and Q, infer P ∧ Q. § 5.2 Proof by cases This is another valid inference step (it will form the rule of disjunction elimination in our formal deductive system and in Fitch), but it is also a powerful proof strategy. In a proof by cases, one begins with a disjunction (as a premise, or as an intermediate conclusion already proved). One then shows that a certain consequence may be deduced from each of the disjuncts taken separately. One concludes that that same sentence is a consequence of the entire disjunction. • From P ∨ Q, and from the fact that S follows from P and S also follows from Q, infer S. The general proof strategy looks like this: if you have a disjunction, then you know that at least one of the disjuncts is true—you just don’t know which one. So you consider the individual “cases” (i.e., disjuncts), one at a time. You assume the first disjunct, and then derive your conclusion from it. You repeat this process for each disjunct. So it doesn’t matter which disjunct is true—you get the same conclusion in any case. Hence you may infer that it follows from the entire disjunction. In practice, this method of proof requires the use of “subproofs”—we will take these up in the next chapter when we look at formal proofs. -
In Defence of Constructive Empiricism: Metaphysics Versus Science
To appear in Journal for General Philosophy of Science (2004) In Defence of Constructive Empiricism: Metaphysics versus Science F.A. Muller Institute for the History and Philosophy of Science and Mathematics Utrecht University, P.O. Box 80.000 3508 TA Utrecht, The Netherlands E-mail: [email protected] August 2003 Summary Over the past years, in books and journals (this journal included), N. Maxwell launched a ferocious attack on B.C. van Fraassen's view of science called Con- structive Empiricism (CE). This attack has been totally ignored. Must we con- clude from this silence that no defence is possible against the attack and that a fortiori Maxwell has buried CE once and for all, or is the attack too obviously flawed as not to merit exposure? We believe that neither is the case and hope that a careful dissection of Maxwell's reasoning will make this clear. This dis- section includes an analysis of Maxwell's `aberrance-argument' (omnipresent in his many writings) for the contentious claim that science implicitly and per- manently accepts a substantial, metaphysical thesis about the universe. This claim generally has been ignored too, for more than a quarter of a century. Our con- clusions will be that, first, Maxwell's attacks on CE can be beaten off; secondly, his `aberrance-arguments' do not establish what Maxwell believes they estab- lish; but, thirdly, we can draw a number of valuable lessons from these attacks about the nature of science and of the libertarian nature of CE. Table of Contents on other side −! Contents 1 Exordium: What is Maxwell's Argument? 1 2 Does Science Implicitly Accept Metaphysics? 3 2.1 Aberrant Theories . -
Stalnaker on Sleeping Beauty Brian Weatherson
Stalnaker on Sleeping Beauty Brian Weatherson The Sleeping Beauty puzzle provides a nice illustration of the approach to self-lo- cating belief defended by Robert Stalnaker in Our Knowledge of the Internal World (Stalnaker, 2008), as well as a test of the utility of that method. The setup of the Sleeping Beauty puzzle is by now fairly familiar. On Sunday Sleeping Beauty is told the rules of the game, and a (known to be) fair coin is flipped. On Monday, Sleeping Beauty is woken, and then put back to sleep. If, and only if, the coin landed tails, she is woken again on Tuesday after having her memory of the Monday awakening erased.1 On Wednesday she is woken again and the game ends. There are a few ques- tions we can ask about Beauty’s attitudes as the game progresses. We’d like to know what her credence that the coin landed heads should be (a) Before she goes to sleep Sunday; (b) When she wakes on Monday; (c) When she wakes on Tuesday; and (d) When she wakes on Wednesday? Standard treatments of the Sleeping Beauty puzzle ignore (d), run together (b) and (c) into one (somewhat ill-formed) question, and then divide theorists into ‘halfers’ or ‘thirders’ depending on how they answer it. Following Stalnaker, I’m going to focus on (b) here, though I’ll have a little to say about (c) and (d) as well. I’ll be following 1 orthodoxy in taking 2 to be the clear answer to (a), and in taking the correct answers to (b) and (c) to be independent of how the coin lands, though I’ll briefly question that assumption at the end. -
Semantical Paradox* Tyler Burge
4 Semantical Paradox* Tyler Burge Frege remarked that the goal of all sciences is truth, but that it falls to logic to discern the laws of truth. Perceiving that the task of determining these laws went beyond Frege’s conception of it, Tarski enlarged the jurisdiction of logic, establishing semantics as truth’s lawyer.1 At the core of Tarski’s theory of truth and validity was a diagnosis of the Liar paradox according to which natural language was hopelessly infected with contradiction. Tarski construed himself as treating the disease by replacing ordinary discourse with a sanitized, artificial construction. But those interested in natural language have been dissatisfied with this medication. The best ground for dis satisfaction is that the notion of a natural language’s harboring contradictions is based on an illegitimate assimilation of natural language to a semantical system. According to that assimilation, part of the nature of a “language” is a set of postulates that purport to be true by virtue of their meaning or are at least partially constitutive of that “language”. Tarski thought that he had identified just such postulates in natural language as spawning inconsistency. But postulates are contained in theories that are promoted by people. Natural languages per se do not postulate or Tyler Burge, “Semantical Paradox", reprinted from The Journal of Philosophy 76 (1979), 169-98. Copyright © 1979 The Journal of Philosophy. Reprinted by permission of the Editor of The Journal of Philosophy and the author. * I am grateful to Robert L. Martin for several helpful discussions; to Herbert Enderton for proving the consistency (relative to that of arithmetic) of an extension of Construction C3; to Charles Parsons for stimulating exchanges back in 1973 and 1974; and to the John Simon Guggenheim Foundation for its support. -
Two Views of the De Re E) Scope Paradoxes: (5) John Thinks at Least Two Men in the Room Are Spies
two views of the de re e) scope paradoxes: (5) John thinks at least two men in the room are spies. (John is not thinking of them as the men in the room) PLUK, Leeds, 2014 Daniel Rothschild ([email protected]) 2 neo-Fregean orthodoxy 1 de re in attitudes Kaplan [1986], building on Quine [1956] sets the standard for accounts of the de re. Basic assumption: semantic values in attitude reports present certain problems not present for other intensional contexts (such as metaphysi- cal modals). (6) (x believes α is a drunk and α denotes y) iff (9 guise g (satisfying some conditions that could make reference to x), the g = y and x A reasonable subset of the data to be captured, for the use of a term α in believes the g is drunk.) an attitude context. Covers a), b) be modified to handle c), d) and e) a) attitude about α does not require the attitude holder to think of α under the predicative content expressed by α. So substitution of co- a) we do not require that x think about y as α. extensive terms: b) we can make the with two different guises x can think y is drunk and is not drunk. (1) John thinks the mayor/the man in the corner is tall. Kaplan puts no contextual restrictions on what guises (his `names') can be, he just quantifies over them and requires them to be vivid, be an b) double vision. at least across different conversation contexts, but per- acquaintance relation for the attitude holder of the referent. -
Mind and Language Seminar: Theories of Content
Mind and Language Seminar: Theories of Content Ned Block and David Chalmers Meetings • Main meeting: Tuesdays 4-7pm over Zoom [4-6pm in weeks without a visitor] • Student meeting: Mondays 5-6pm hybrid • Starting Feb 22 [only weeks with a visitor] • Enrolled students and NYU philosophy graduate students only. • Feb 2: Background: Theories of Content • Feb 9: Background: Causal/Teleological Theories • Feb 16: Background: Interpretivism • Feb 23: Nick Shea • March 2: Robbie Williams • March 9: Frances Egan • March 16: Adam Pautz • March 23: Veronica Gómez Sánchez • March 30: Background: Phenomenal Intentionality • April 6: Imogen Dickie • April 13: Angela Mendelovici • April 20: Background: Conceptual-Role Semantics • April 27: Christopher Peacocke • May 4: David Chalmers Assessment • Draft paper due April 19 • Term paper due May 17 Attendance Policy • Monday meetings: Enrolled students and NYU philosophy graduate students only. • Tuesday meetings: NYU and NYC Consortium students and faculty only • Very limited exceptions • Email us to sign up on email list if you haven’t already. Introductions Short History of the 20th Century • 1900-1970: Reduce philosophical questions to issues about language and meaning. • 1970s: Theories of meaning (philosophy of language as first philosophy) • 1980s: Theories of mental content (philosophy of mind as first philosophy). • 1990s: Brick wall. Theories of Content • What is content? • What is a theory of content? Content • Content (in the broadest sense?) is intentionality or aboutness • Something has content when it is about something. Contents • Content = truth-conditions • Content = satisfaction-conditions • Content = propositions • Content = objects of intentional states • Content = … What Has Content? • What sort of thing has content? What Has Content? • What sort of thing has content? • language (esp. -
Presupposition As Investigator Certainty in a Police Interrogation: the Case of Lorenzo Montoya’S False Confession
Presupposition as investigator certainty in a police interrogation: The case of Lorenzo Montoya’s false confession Author: Philip Gaines This is a postprint of an article that originally appeared in Discourse & Society on July 2018. The final version can be found at https://dx.doi.org/10.1177/0957926518754417. Gaines, Philip. "Presupposition as investigator certainty in a police interrogation: The case of Lorenzo Montoya's false confession." Discourse & Society 29, no. 4 (July 2018): 399-419. DOI:10.1177/0957926518754417. Made available through Montana State University’s ScholarWorks scholarworks.montana.edu Presupposition as investigator certainty in a police interrogation: The case of Lorenzo Montoya’s false confession Philip Gaines Montana State University, USA Abstract This article presents an analysis of the use by police investigators of presupposition-bearing questions (PBQs) in interrogation as a process for communicating certainty of guilt. Among the techniques of interrogational maximization employed by police is the communication to the suspect of the interrogators’ certainty of the suspect’s guilt. While social science research notes that such communication of certainty is given directly, for example by statements that they ‘know’ the suspect is guilty or by direct accusations such as ‘you did it’, this analysis shows that certainty of guilt can also be communicated by presuppositions embedded in interrogation questions. Discourse analysis of the complete transcript of the interrogation of a 14-year-old suspect reveals further that through the use of 177 PBQs, interrogators are able to accrue inadvertent admissions to three crucial global ‘facts’ about the suspect’s involvement in the crime – each of which is composed of multiple subsidiary ‘facts’. -
Entailment, Presupposition, and Implicature in the Work of Ernest Hemingway and Tim O'brien
Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1994 The tS ylistic Mechanics of Implicitness: Entailment, Presupposition, and Implicature in the Work of Ernest Hemingway and Tim O'Brien. Donna Glee Williams Louisiana State University and Agricultural & Mechanical College Follow this and additional works at: https://digitalcommons.lsu.edu/gradschool_disstheses Recommended Citation Williams, Donna Glee, "The tS ylistic Mechanics of Implicitness: Entailment, Presupposition, and Implicature in the Work of Ernest Hemingway and Tim O'Brien." (1994). LSU Historical Dissertations and Theses. 5768. https://digitalcommons.lsu.edu/gradschool_disstheses/5768 This Dissertation is brought to you for free and open access by the Graduate School at LSU Digital Commons. It has been accepted for inclusion in LSU Historical Dissertations and Theses by an authorized administrator of LSU Digital Commons. For more information, please contact [email protected]. INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough,m asubstandard r gins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand comer and continuing from left to right in equal sections with small overlaps. -
Deduction (I) Tautologies, Contradictions And
D (I) T, & L L October , Tautologies, contradictions and contingencies Consider the truth table of the following formula: p (p ∨ p) () If you look at the final column, you will notice that the truth value of the whole formula depends on the way a truth value is assigned to p: the whole formula is true if p is true and false if p is false. Contrast the truth table of (p ∨ p) in () with the truth table of (p ∨ ¬p) below: p ¬p (p ∨ ¬p) () If you look at the final column, you will notice that the truth value of the whole formula does not depend on the way a truth value is assigned to p. The formula is always true because of the meaning of the connectives. Finally, consider the truth table table of (p ∧ ¬p): p ¬p (p ∧ ¬p) () This time the formula is always false no matter what truth value p has. Tautology A statement is called a tautology if the final column in its truth table contains only ’s. Contradiction A statement is called a contradiction if the final column in its truth table contains only ’s. Contingency A statement is called a contingency or contingent if the final column in its truth table contains both ’s and ’s. Let’s consider some examples from the book. Can you figure out which of the following sentences are tautologies, which are contradictions and which contingencies? Hint: the answer is the same for all the formulas with a single row. () a. (p ∨ ¬p), (p → p), (p → (q → p)), ¬(p ∧ ¬p) b. -
Curriculum Vitae (Pdf)
GUNTER SENFT: CURRICULUM VITAE Date of birth: 19.07.1952 Place of birth: Kaiserslautern Nationality: German Marital status: married to Barbara Senft Two children Address: Max-Planck-Institute for Psycholinguistics PB 310 6500 AH Nijmegen The Netherlands Tel.: (+31)-((0)24)-3521 911 (+31)-((0)24)-3521 274 Fax: (+31)-((0)24)-3521 300 e-mail: Gunter.Senftatmpi.nl Private address: Holthuisenbosch 1 D-47574 Goch Germany Tel.: (+49)-((0)2823) – 86612 Education: Abitur, Gymnasium am Rittersberg, Kaiserslautern, May 1971. 1971-1979 Ruprecht-Karl-Universität Heidelberg (German and English Language and Literature); 1976 Wissenschaftliche Prüfung für das Lehramt an Gymnasien (große Facultas). 1979-1982 Johann-Wolfgang-Goethe-Universität Frankfurt am Main (Ph.-D. student). 1.03.1978 - 28.02.1981 Max-Planck-Society Ph.-D. fellowship, MPI for Psycholinguistics, Nijmegen, (The Netherlands). February 1982 Doctor of Philosophy (Dr. phil., "summa cum laude"), Johann-Wolfgang- Goethe-Universität Frankfurt am Main. May 1992 Technische Universität Berlin, Habilitation (German qualification for lecturing): "General Linguistics". July 1994 Universität zu Köln, Umhabilitation “General Linguistics”. July 1998 Universität zu Köln, Extraordinary Professor for General Linguistics. Professional history: 1976-1978 research assistant, German Research Society (DFG)-Project "Heidelberg Research Project ‘Pidgin-German of Spanish and Italian Workers in the Federal Republic of Germany’" Prof. Dr. Wolfgang Klein; 1.03.1978 - 28.02. 1981 Max-Planck-Society Ph.-D. fellowship, -
What Is Presupposition Accommodation?
Draft version from July 2000 What is Presupposition Accommodation? Kai von Fintel MIT In his paper “What is a Context of Utterance?”, Christopher Gauker (1998) argues that the phenomenon of informative presuppositions is incompatible with the “pragmatic” view of presuppositions as involving requirements on the common ground, the body of shared assumptions of the participants in a conversation. This is a surprising claim since most proponents of this view have in fact dealt with informative presuppositions by appealing to a process called presupposition accommodation. Gauker’s attack shows the need to clarify the nature of this process. Introduction: The Common Ground Theory of Presuppositions Here is a stylized version of the picture of information-gathering discourse developed by Stalnaker.1 The common ground of a conversation at a particular time is the set of propositions that the participants in that conversation at that time mutually assume to be taken for granted and not subject to (further) discussion. The common ground describes a set of worlds, the context set, which are those worlds in which all of the propositions in the common ground are true. The context set is the set of worlds that for all that is currently assumed to be taken for granted, could be the actual world. 1 Stalnaker (1972, 1973, 1974, 1978, 1988, 1998). Other important work in this tradition includes Karttunen (1974), Lewis (1979), Heim (1982, 1983, 1992), and Thomason (1990). When uttered assertively, sentences are meant to update the common ground. If the sentence is accepted by the participants, the proposition it expresses is added to the common ground. -
An Analysis of Presupposition Triggers in Hilary Clinton's First
International Journal of English Linguistics; Vol. 6, No. 5; 2016 ISSN 1923-869X E-ISSN 1923-8703 Published by Canadian Center of Science and Education An Analysis of Presupposition Triggers in Hilary Clinton’s First Campaign Speech Ruiqing Liang1 & Yabin Liu1 1 School of Foreign Studies, Jinan University, Guangzhou, China Correspondence: Yabin Liu, School of Foreign Studies, Jinan University, Guangzhou, China. E-mail: [email protected] Received: July 19, 2016 Accepted: August 9, 2016 Online Published: September 23, 2016 doi:10.5539/ijel.v6n5p68 URL: http://dx.doi.org/10.5539/ijel.v6n5p68 This paper is supported by “the Fundamental Research Funds for the Central Universities” (grant no.: 15JNYH007) and “the National Social Science Foundation of China” (grant no.:12BYY119). Abstract Presupposition triggers play a vital role in verbal communication. Based on Hilary Clinton’s first campaign speech, this paper intends to analyze the presupposition triggers at both lexical and syntactic levels, for the purpose of figuring out how Hilary succeeds in achieving her political intentions through the use of presupposition triggers, hoping to contribute to the composition and understanding of political speeches. Keywords: presupposition triggers, presupposition, Hilary Clinton, political speech 1. Introduction Presupposition, first put forward by German philosopher Gottlob Frege in 1892, was originally studied in philosophy of language and later introduced to the field of linguistics. As the study of presupposition continues, it has been found that presuppositions are typically generated by the use of lexical items or linguistic constructions. These lexical items and linguistic constructions are called presupposition triggers (Levinson, 1983; Huang, 2007). Presupposition has long been used as a property of language to mold the audience’s ideology.