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1

Blikle, Andrzej. Why denotational?: Remarks on applied denotational semantics. Warszawa: Instytut Podstaw Informatyki Polskiej Akademii Nauk, 1990.

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2

Cook, William R. A denotational semantics of inheritance. Ann Arbor: University Microfilms International, 1989.

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3

A practical introduction to denotational semantics. Cambridge [Cambridgeshire]: Cambridge University Press, 1986.

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4

Arbab, B. Operational and denotational semantics of PROLOG. Los Angeles: IBM Scientific Center, 1986.

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5

Denotational semantics: A methodology for language development. Dubuque, Iowa: Wm.C. Brown, 1988.

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6

Schmidt, DavidA. Denotational semantics: A methodology for language development. Boston (Mass.): Allyn and Bacon, 1986.

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7

Schmidt, David A. Denotational semantics: A methodology for language development. Boston: Allyn and Bacon, 1986.

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8

Blikle, Andrzej. MetaSoft primer: Towards a metalanguage for applied denotational semantics. Berlin: Springer-Verlag, 1987.

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9

MetaSoft primer: Towards a metalanguage for applied denotational semantics. Berlin: Springer-Verlag, 1987.

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10

Pullum, Geoffrey K. Slurs and Obscenities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198758655.003.0009.

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Words are often assumed to have denotations linking them to concepts, and we use a word with a certain denotation when we want to convey to our interlocutor the concept to which it is linked. Obscene swearwords and offensive slurs reveal the simplistic character of this view. Issues of style, tone, esthetics, etiquette, attitude, and self-presentation arise; semantics, pragmatics, sociolinguistics, and anthropology are involved in clarifying them. After surveying some semantic and pragmatic preliminaries, the chapter delves into the lexicography of obscene and offensive terms. There are some flagrant semantic errors in trusted dictionaries. Experienced lexicographers get many simple meanings badly and obviously wrong. Part of the explanation may lie in a desire to distance the dictionary’s authority from the pejorative content. Correcting such entries involves recognizing that words have nonlinguistic properties as well as linguistic ones.
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11

Schmidt, David A. Denotational Semantics: A Methodology for Language Development. William C Brown Pub, 1988.

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12

Devine, A. M., and Laurence D. Stephens. Pragmatics for Latin. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190939472.001.0001.

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Latin is often described as a free word order language, but in general each word order encodes a particular information structure: in that sense, each word order has a different meaning. This book provides a descriptive analysis of Latin information structure based on detailed philological evidence and elaborates a syntax-pragmatics interface that formalizes the informational content of the various different word orders. The book covers a wide ranges of issues including broad scope focus, narrow scope focus, double focus, topicalization, tails, focus alternates, association with focus, scrambling, informational structure inside the noun phrase and hyperbaton (discontinuous constituency). Using a slightly adjusted version of the structured meanings theory, the book shows how the pragmatic meanings matching the different word orders arise naturally and spontaneously out of the compositional process as an integral part of a single semantic derivation covering denotational and informational meaning at one and the same time.
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13

Draheim, Dirk. Semantics of the Probabilistic Typed Lambda Calculus: Markov Chain Semantics, Termination Behavior, and Denotational Semantics. Springer, 2017.

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14

Draheim, Dirk. Semantics of the Probabilistic Typed Lambda Calculus: Markov Chain Semantics, Termination Behavior, and Denotational Semantics. Springer, 2018.

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15

Roscoe, A. W., and G. M. Reed. Domains for Denotational Semantics (Prentice-Hall International Series in Computer Science). Pearson Education Limited, 1992.

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16

Simmons, Keith. Semantic Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.001.0001.

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This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by the concepts of reference or denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions ‘denotes’, ‘extension’, and ‘true’ are context-sensitive. The second, inspired by a brief, tantalizing remark of Gödel’s, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities is presented and applied to a wide variety of versions of the definability paradoxes, Russell’s paradox, and the Liar paradox. The book argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski’s intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. The book examines the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism.
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17

Martin, R. M. Truth and Denotation: A Study in Semantical Theory. Taylor & Francis Group, 2016.

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18

Truth and Denotation: A Study in Semantical Theory. Taylor & Francis Group, 2015.

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19

Ein denotationales Modell für parallele objektbasierte Systeme. Wiesbaden: Vieweg+Teubner Verlag, 1997.

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20

Blikle, Andrzej. Metasoft Primer: Towards a Metalanguage for Applied Denotational Semantics (Lecture Notes in Computer Science). Springer, 1988.

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21

Simmons, Keith. A General Theory of Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0006.

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Chapter 6 presents the singularity theory in formal detail. The theory is pitched at a sufficiently general level to handle in a unified way the notions of denotation, extension, and truth. The central notions of semantic pathology and singularity are defined, and a procedure for determining the semantic value of a pathological token is provided. The chapter gives precise expression to the idea that our semantic expressions are significant everywhere except for certain singularities. Key ingredients of the formal theory include the notions of primary representation, primary tree, and determination tree. Paradoxical cases from previous chapters are used throughout the chapter to illustrate the formal definitions.
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22

Simmons, Keith. The Theory at Work. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0007.

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Chapter 7 puts the singularity theory to work on a number of semantic paradoxes that have intrinsic interest of their own. These include a transfinite paradox of denotation, and variations on the Liar paradox, including the Truth-Teller, Curry’s paradox, and paradoxical Liar loops. The transfinite paradox of denotation shows the need to accommodate limit ordinals. The Truth-Teller, like the Liar, exhibits semantic pathology-but, unlike the Liar, it does not produce a contradiction. The distinctive challenge of the Curry paradox is that it seems to allow us to prove any claim we like (for example, the claim that 2+2=5). Paradoxical Liar loops, such as the Open Pair paradox, extend the Liar paradox beyond single self-referential sentences. The chapter closes with the resolution of paradoxes that do not exhibit circularity yet still generate contradictions. These include novel versions of the definability paradoxes and Russell’s paradox, and Yablo’s paradox about truth.
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23

Simmons, Keith. Paradox and Context. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0002.

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Chapter 2 articulates and defends the claim that our semantic expressions ‘denotes’, ‘extension’, and ‘true’ are context-sensitive. The chapter focuses on three simple paradoxes of denotation, extension, and truth. Two phenomena emerge as we reason through these paradoxes. First, the phenomenon of repetition: in the course of our reasoning, we produce a repetition of the paradoxical expression. This repetition, though composed of the very same words as the paradoxical expression, is semantically unproblematic and has a definite value. Second, the phenomenon of rehabilitation: we can reflect on the paradoxical expression, taking into account its pathology, and produce an unproblematic semantic value for it. Repetition and rehabilitation are explained contextually, drawing on the work of Stalnaker and Lewis (and others) on context-change.
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24

Simmons, Keith. Paradoxes of Definability, Russell’s Paradox, the Liar. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0005.

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Chapter 5 moves beyond the simple paradoxes discussed in Chapters 2-4. The chapter applies the singularity approach to the traditional paradoxes of definability (or denotation), associated with Berry, Richard, and König. The chapter goes on to argue that there are two settings for Russell’s paradox, one in terms of the mathematical notion of set, and the other in terms of the logico-semantic notion of extension. The chapter then applies the singularity approach to Russell’s paradox for extensions. The chapter moves on to the case of truth, and applies the singularity approach to various versions of the Liar paradox, paying particular attention to the so-called strengthened Liar.
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25

Simmons, Keith. Consequences for Deflationism. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0010.

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Chapter 10 investigates the consequences of the singularity theory for deflationary theories in general and disquotational theories in particular. The chapter argues that if we accept the singularity theory, we must reject deflationary theories of truth, denotation, and extension. The phenomena of repetition and rehabilitation (introduced in Chapter 2, and discussed throughout the book) show that pathological expressions, such as Liar sentences, may be successfully assigned semantic values. As a consequence, there are truths from which ‘true’ cannot be disquoted away (and similarly with ‘denotes’ and ‘extension’). The chapter argues that one leading motivation for the deflationist-namely, the role that ‘true’ plays in expressing generalizations-is fully captured by the singularity theory.
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26

Simmons, Keith. Identifying Singularities. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791546.003.0004.

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Chapter 4 lays out the central notions that allow us to identify the singularities of a given occurrence (in ordinary English) of ‘denotes’, ‘extension’, or ‘true’. Key notions are those of the primary representation of an expression, and the primary tree of an expression. The primary tree displays the semantic network that the expression generates. The notions of pathology and singularity are then defined in terms of the notion of primary tree. The chapter argues that the singularity account respects Tarski’s intuition that natural languages are universal. The chapter concludes with a comparison of the singularity treatment of the simple paradox of denotation (introduced in Chapter 2) with those of Field and Scharp. Chapter 4 anticipates the fully formal singularity theory to be presented in Chapter 6.
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27

Zimmermann, Thomas Ede. Fregean Compositionality. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198739548.003.0010.

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Two distinctive features of Frege’s approach to compositionality are reconstructed in terms of the theory of extension and intension: (i) its bias in favour of extensional operations; and (ii) its resort to indirect senses in the face of iterated opacity. While (i) has been preserved in current formal semantics, it proves to be stronger than a straightforward extensionality requirement in terms of Logical Space, the difference turning on a subtle distinction between extensions at particular points and extensions per se. (ii) has traditionally been dismissed as redundant, and is shown to lead to a mere ‘baroque’ reformulation of ordinary compositionality. Nevertheless, whatever Frege’s motive, the very idea of having opaque denotations keep track of the depth of their embedding gives rise to a fresh view at certain scope paradoxes that had previously been argued to lie outside the reach of a binary distinction between extension and intension.
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