Lecture 1: Introduction to Formal Semantics and Compositionality
Total Page：16
File Type：pdf, Size：1020Kb
Load more
Recommended publications
-
Semantics and Pragmatics
Semantics and Pragmatics Christopher Gauker Semantics deals with the literal meaning of sentences. Pragmatics deals with what speakers mean by their utterances of sentences over and above what those sentences literally mean. However, it is not always clear where to draw the line. Natural languages contain many expressions that may be thought of both as contributing to literal meaning and as devices by which speakers signal what they mean. After characterizing the aims of semantics and pragmatics, this chapter will set out the issues concerning such devices and will propose a way of dividing the labor between semantics and pragmatics. Disagreements about the purview of semantics and pragmatics often concern expressions of which we may say that their interpretation somehow depends on the context in which they are used. Thus: • The interpretation of a sentence containing a demonstrative, as in “This is nice”, depends on a contextually-determined reference of the demonstrative. • The interpretation of a quantified sentence, such as “Everyone is present”, depends on a contextually-determined domain of discourse. • The interpretation of a sentence containing a gradable adjective, as in “Dumbo is small”, depends on a contextually-determined standard (Kennedy 2007). • The interpretation of a sentence containing an incomplete predicate, as in “Tipper is ready”, may depend on a contextually-determined completion. Semantics and Pragmatics 8/4/10 Page 2 • The interpretation of a sentence containing a discourse particle such as “too”, as in “Dennis is having dinner in London tonight too”, may depend on a contextually determined set of background propositions (Gauker 2008a). • The interpretation of a sentence employing metonymy, such as “The ham sandwich wants his check”, depends on a contextually-determined relation of reference-shifting. -
Reference and Sense
REFERENCE AND SENSE y two distinct ways of talking about the meaning of words y tlkitalking of SENSE=deali ng with relationshippggs inside language y talking of REFERENCE=dealing with reltilations hips bbtetween l. and the world y by means of reference a speaker indicates which things (including persons) are being talked about ege.g. My son is in the beech tree. II identifies persons identifies things y REFERENCE-relationship between the Enggplish expression ‘this p pgage’ and the thing you can hold between your finger and thumb (part of the world) y your left ear is the REFERENT of the phrase ‘your left ear’ while REFERENCE is the relationship between parts of a l. and things outside the l. y The same expression can be used to refer to different things- there are as many potential referents for the phrase ‘your left ear’ as there are pppeople in the world with left ears Many expressions can have VARIABLE REFERENCE y There are cases of expressions which in normal everyday conversation never refer to different things, i.e. which in most everyday situations that one can envisage have CONSTANT REFERENCE. y However, there is very little constancy of reference in l. Almost all of the fixing of reference comes from the context in which expressions are used. y Two different expressions can have the same referent class ica l example: ‘the MiMorning St’Star’ and ‘the Evening Star’ to refer to the planet Venus y SENSE of an expression is its place in a system of semantic relati onshi ps wit h other expressions in the l. -
The Meaning of Language
01:615:201 Introduction to Linguistic Theory Adam Szczegielniak The Meaning of Language Copyright in part: Cengage learning The Meaning of Language • When you know a language you know: • When a word is meaningful or meaningless, when a word has two meanings, when two words have the same meaning, and what words refer to (in the real world or imagination) • When a sentence is meaningful or meaningless, when a sentence has two meanings, when two sentences have the same meaning, and whether a sentence is true or false (the truth conditions of the sentence) • Semantics is the study of the meaning of morphemes, words, phrases, and sentences – Lexical semantics: the meaning of words and the relationships among words – Phrasal or sentential semantics: the meaning of syntactic units larger than one word Truth • Compositional semantics: formulating semantic rules that build the meaning of a sentence based on the meaning of the words and how they combine – Also known as truth-conditional semantics because the speaker’ s knowledge of truth conditions is central Truth • If you know the meaning of a sentence, you can determine under what conditions it is true or false – You don’ t need to know whether or not a sentence is true or false to understand it, so knowing the meaning of a sentence means knowing under what circumstances it would be true or false • Most sentences are true or false depending on the situation – But some sentences are always true (tautologies) – And some are always false (contradictions) Entailment and Related Notions • Entailment: one sentence entails another if whenever the first sentence is true the second one must be true also Jack swims beautifully. -
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. -
Leibniz and the Necessity of the Best Possible World
This is a preprint of an article whose final and definitive form will be published in the Australasian Journal of Philosophy; the Australasian Journal of Philosophy is available online at: http://www.tandf.co.uk/journals/. LEIBNIZ AND THE NECESSITY OF THE BEST POSSIBLE WORLD Martin Pickup Leibniz has long faced a challenge about the coherence of the distinction between necessary and contingent truths in his philosophy. In this paper, I propose and examine a new way to save genuine contingency within a Leibnizian framework. I conclude that it succeeds in formally solving the problem, but at unbearable cost. I present Leibniz’s challenge by considering God’s choice of the best possible world (Sect. 2). God necessarily exists and necessarily chooses to actualise the best possible world. The actual world therefore could not be different, for if it were different it would be a distinct and inferior world and hence would not be created. In Sect. 3 I defend Leibniz from this challenge. I argue that while it is necessary for God to choose to create the best possible world, it is not necessary for any world to be the best possible. This is because the criterion for judging perfection can itself be contingent. Different criteria will judge different worlds as the best. Thus it is necessary for God to create the best, but not necessary which is the best. Distinguishing between possible worlds in Leibniz’s sense and in the modern sense allows a fuller exposition of this position. There are worries that can arise with the claim that the criterion of perfection is contingent. -
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 Considering a Possible World As Actual
ON CONSIDERING A POSSIBLE WORLD AS ACTUAL Robert Stalnaker “Hell is paved with primary intensions” English proverb1 1. Introduction In Naming and Necessity2, Saul Kripke presented some striking examples that convinced many philosophers that there are truths that are both necessary and a posteriori, and also truths that are both contingent and a priori. The classic examples of the former are identity statements containing proper names (Hesperus = Phosphorus) and statements about the nature of natural kinds (Gold has atomic number 79). Realistic examples of the second kind of statement are harder to come by - perhaps there are none - but once one sees the idea it is easy to construct artificial examples. The most famous example is based on Gareth Evans’s descriptive name “Julius.”3 “Julius” is, by stipulation, a proper name of the person (whoever he might be) who invented the zip. So the statement “Julius invented the zip” can be known a priori to be true, but since the description is used to fix the reference rather than to give the meaning , of the name, the fact that Julius invented the zip is a contingent fact. Someone other than Julius (the person we in fact named) might have invented the zip, and if some else had invented it instead, it would not have been true that Julius invented the zip. The divergence of the two distinctions was surprising, but the examples are simple and relatively transparent. Kripke’s exposition pointed the way to an abstract description of the phenomena that made it clear, on one level at least, what is going on. -
Abstract 1. Russell As a Mereologist
THE 1900 TURN IN BERTRAND RUSSELL’S LOGIC, THE EMERGENCE OF HIS PARADOX, AND THE WAY OUT Prof. Dr. Nikolay Milkov, Universität Paderborn, [email protected] Abstract Russell‘s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell‘s logic was nothing but mereology. First, his acquaintance with Peano‘s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‗denoting phrase‘. Unfortunately, a new paradox emerged soon: that of classes. The main contention of this paper is that Russell‘s new con- ception only transferred the paradox of infinity from the realm of infinite numbers to that of class-inclusion. Russell‘s long-elaborated solution to his paradox developed between 1905 and 1908 was nothing but to set aside of some of the ideas he adopted with his turn of August 1900: (i) With the Theory of Descriptions, he reintroduced the complexes we are acquainted with in logic. In this way, he partly restored the pre-August 1900 mereology of complexes and sim- ples. (ii) The elimination of classes, with the help of the ‗substitutional theory‘,1 and of prop- ositions, by means of the Multiple Relation Theory of Judgment,2 completed this process. 1. Russell as a Mereologist In 1898, Russell abandoned his short period of adherence to the Neo-Hegelian position in the philosophy of mathematics and replaced it with what can be called the ‗analytic philoso- phy of mathematics‘, substantiated by the logic of relations. -
The Etienne Gilson Series 21
The Etienne Gilson Series 21 Remapping Scholasticism by MARCIA L. COLISH 3 March 2000 Pontifical Institute of Mediaeval Studies This lecture and its publication was made possible through the generous bequest of the late Charles J. Sullivan (1914-1999) Note: the author may be contacted at: Department of History Oberlin College Oberlin OH USA 44074 ISSN 0-708-319X ISBN 0-88844-721-3 © 2000 by Pontifical Institute of Mediaeval Studies 59 Queen’s Park Crescent East Toronto, Ontario, Canada M5S 2C4 Printed in Canada nce upon a time there were two competing story-lines for medieval intellectual history, each writing a major role for scholasticism into its script. Although these story-lines were O created independently and reflected different concerns, they sometimes overlapped and gave each other aid and comfort. Both exerted considerable influence on the way historians of medieval speculative thought conceptualized their subject in the first half of the twentieth cen- tury. Both versions of the map drawn by these two sets of cartographers illustrated what Wallace K. Ferguson later described as “the revolt of the medievalists.”1 One was confined largely to the academy and appealed to a wide variety of medievalists, while the other had a somewhat narrower draw and reflected political and confessional, as well as academic, concerns. The first was the anti-Burckhardtian effort to push Renaissance humanism, understood as combining a knowledge and love of the classics with “the discovery of the world and of man,” back into the Middle Ages. The second was inspired by the neo-Thomist revival launched by Pope Leo XIII, and was inhabited almost exclusively by Roman Catholic scholars. -
The Parallel Architecture and Its Place in Cognitive Science
978–0–19–954400–4 Heine-main-drv Heine-Narrog (Typeset by Spi, Chennai) 645 of 778 April 8, 2009 21:55 chapter 23 .............................................................................................................. THE PARALLEL ARCHITECTURE AND ITS PLACE IN COGNITIVE SCIENCE .............................................................................................................. ray jackendoff It has become fashionable recently to speak of linguistic inquiry as biolinguistics, an attempt to frame questions of linguistic theory in terms of the place of lan- guage in a biological context. The Minimalist Program (Chomsky 1995; 2001)is of course the most prominent stream of research in this paradigm. However, an alternative stream within the paradigm, the Parallel Architecture, has been devel- oping in my own work over the past 30 years; it includes two important sub- components, Conceptual Structure and Simpler Syntax (Jackendoff2002; 2007b; Culicover and Jackendoff 2005). This chapter will show how the Parallel Architec- ture is in many ways a more promising realization of biolinguistic goals than the Minimalist Program and that, more than the Minimalist Program, it is conducive to integration with both the rest of linguistic theory and the rest of cognitive science. 978–0–19–954400–4 Heine-main-drv Heine-Narrog (Typeset by Spi, Chennai) 646 of 778 April 8, 2009 21:55 646 ray jackendoff 23.1 Parallel architectures, broadly conceived ......................................................................................................................................... -
Frege's Theory of Sense
Frege’s theory of sense Jeff Speaks August 25, 2011 1. Three arguments that there must be more to meaning than reference ............................1 1.1. Frege’s puzzle about identity sentences 1.2. Understanding and knowledge of reference 1.3. Opaque contexts 2. The theoretical roles of senses .........................................................................................4 2.1. Frege’s criterion for distinctness of sense 2.2. Sense determines reference, but not the reverse 2.3. Indirect reference 2.4. Sense, force, and the theory of speech acts 3. What are senses? .............................................................................................................6 We have now seen how a theory of reference — a theory that assigns to each expression of the language a reference, which is what it contributes to determining the truth or falsity of sentences in which it occurs — might look for a fragment of English. (The fragment of English includes proper names, n-place predicates, and quantifiers.) We now turn to Frege’s reasons for thinking that a theory of reference must be supplemented with a theory of sense. 1. THREE ARGUMENTS THAT THERE MUST BE MORE TO MEANING THAN REFERENCE 1.1. Frege’s puzzle about identity sentences As Frege says at the outset of “On sense and reference,” identity “gives rise to challenging questions which are not altogether easy to answer.” The puzzle raised by identity sentences is that, if, even though “the morning star” and “the evening star” have the same reference — the planet Venus — the sentences [1] The morning star is the morning star. [2] The morning star is the evening star. seem quite different. They seem, as Frege says, to differ in “cognitive value.” [1] is trivial and a priori; whereas [2] seems a posteriori, and could express a valuable extension of knowledge — it, unlike [1], seems to express an astronomical discovery which took substantial empirical work to make. -
Intensional Models for the Theory of Types∗
Intensional Models for the Theory of Types∗ Reinhard Muskens Abstract In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general models and have a natural definition. As a class they do not validate the axiom of Extensionality. We give a cut-free sequent calculus for type theory and show completeness of this calculus with respect to the class of intensional models via a model existence theo- rem. After this we turn our attention to applications. Firstly, it is argued that, since ITL is truly intensional, it can be used to model ascriptions of propositional attitude without predicting logical omniscience. In order to illustrate this a small fragment of English is defined and provided with an ITL semantics. Secondly, it is shown that ITL models contain certain objects that can be identified with possible worlds. Essential elements of modal logic become available within classical type theory once the axiom of Extensionality is given up. 1 Introduction The axiom scheme of Extensionality states that whenever two predicates or relations are coextensive they must have the same properties: 8XY (8~x(X~x $ Y ~x) ! 8Z(ZX ! ZY )) (1) Historically Extensionality has always been problematic, the main problem be- ing that in many areas of application, though not perhaps in the foundations of mathematics, the statement is simply false. This was recognized by White- head and Russell in Principia Mathematica [32], where intensional functions such as `A believes that p' or `it is a strange coincidence that p' are discussed at length.