Negation

Wansing, Heinrich

doi:10.1002/9781405164801.ch18

Cited by 11 publications

(5 citation statements)

References 24 publications

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“…But it leaves room for more than one logical characterization of the operator, thus for pluralism. The view is a development of the logical pluralism defended by Jc Beall and Greg Restall in some well-known works (Beall and Restall 2000, 2001, 2006.…”

Section: (In)compatibility and Pluralismmentioning

confidence: 98%

A Modality Called ‘Negation’:

Berto¹

2015

Mind

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I propose a comprehensive account of negation as a modal operator, vindicating a moderate logical pluralism. Negation is taken as a quantifier on worlds, restricted by an accessibility relation encoding the basic concept of compatibility. This latter captures the core meaning of the operator. While some candidate negations are then ruled out as violating plausible constraints on compatibility, different specifications of the notion of world support different logical conducts for (the admissible) negations. The approach unifies in a philosophically motivated picture the following results: nothing can be called a negation properly if it does not satisfy (Minimal) Contraposition and Double Negation Introduction; the pair consisting of two split or Galois negations encodes a distinction without a difference; some paraconsistent negations also fail to count as real negations, but others may; intuitionistic negation qualifies as real negation, and classical Boolean negation does as well, to the extent that constructivist and paraconsistent doubts on it do not turn on the basic concept of compatibility but rather on the interpretation of worlds. When it is asserted that a negative signifies a contrary, we shall not agree, but admit no more than this: that the prefix 'not' indicates something different from the words that follow, or rather from the things designated by the words pronounced after the negative. Plato, Sophist 257b-c

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Section: (In)compatibility and Pluralismmentioning

confidence: 98%

A Modality Called ‘Negation’:

Berto¹

2015

Mind

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“…It is also associated with discourse functions, such as denial, contradiction, rejection, refutation, disagreement and irony, to name a few. Although negation is often associated with negativity, the two notions do not overlap: not every negative form leads to a negatively connoted structure and not every negatively connoted structure is expressed by means of a negative form (for a comprehensive overview, see Horn & Wansing, 2017;Horn, 2001).…”

Section: No-negation Not-negation and N't-negationmentioning

confidence: 99%

Negatives and Meaning: Social Setting and Pragmatic Effects. Using Negatives in Political Discourse, Social Media and Oral Interaction

Roitman¹

2023

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This volume deals with the pragmatic dimension of negations and is oriented towards empirical studies of negatives’ meanings and functions in media and public discourses. Negation is one of our most central phenomena in human language and we use it daily for a vast range of different purposes: for rejection, denial and for expressing non-existence. Negation is certainly one of the most multidimensional and complex units in language, semantically, cognitively and syntactically, as well as from a functional, pragmatic, perspective. Depending of the theoretical framework, sentence negation in particular has been identified as a modal operator, a truth-value operator, a rhetoric device, a figure of thought, a polarity item and a marker of linguistic polyphony and as a linguistic unit with a variety of discursive and contextual meanings. There remain, nevertheless, a large number of unsolved questions regarding negative forms of expressions and negative functions within specific languages, within different social settings and throughout the languages of the world. Thus, by bringing together scholars from different countries, with studies on different languages this volume aims to shed light and contribute to new knowledge about the forms and functionality of this universal phenomenon. Linguists and pragmaticiens generally agree that the use of negatives escapes logic and pure semantic description and is therefore best analysed with tools from cognitive and pragmatic theories. Similar themes connected to negatives approached from different perspectives and examined in different languages offer a contrastive reading that actually enlarges the spectra of new knowledge presented in the books’s chapters. Based on hypotheses within pragmatics and discourse analysis, the main assumption is here that forms of expressing negatives emerge and adjust constantly and in accordance with the cultural domain and the social setting of their appearance. This is why this volume focuses on the functions of negative expressions in specific domains and types of discourses.

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“…What properties are required to give a unary connective the status of a negation is, however, highly controversial, cf. (Gabbay & Wansing, 1999 ; Horn & Wansing, 2020 ; Wansing, 1996 , 2001 ). The unary connective that serves as a negation in C and 2C , for example, does not satisfy the condition of Definition 2.3 in Avron et al ( 2018 ) but does satisfy the minimal condition a negation is required to possess in Marcos ( 2005 ).…”

Section: Dimathematismmentioning

confidence: 99%

One Heresy and One Orthodoxy: On Dialetheism, Dimathematism, and the Non-normativity of Logic

Wansing

2022

Erkenn

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In this paper, Graham Priest’s understanding of dialetheism, the view that there exist true contradictions, is discussed, and various kinds of metaphysical dialetheism are distinguished between. An alternative to dialetheism is presented, namely a thesis called ‘dimathematism’. It is pointed out that dimathematism enables one to escape a slippery slope argument for dialetheism that has been put forward by Priest. Moreover, dimathematism is presented as a thesis that is helpful in rejecting the claim that logic is a normative discipline.

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Negation

Cited by 11 publications

References 24 publications

A Modality Called ‘Negation’:

A Modality Called ‘Negation’:

Negatives and Meaning: Social Setting and Pragmatic Effects. Using Negatives in Political Discourse, Social Media and Oral Interaction

One Heresy and One Orthodoxy: On Dialetheism, Dimathematism, and the Non-normativity of Logic

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