Search results for "Negation"
showing 10 items of 38 documents
A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
1983
All known connectives 'and'/'or' for fuzzy sets or some classes can be introduced as t-norms/t-conorms, where Ling's representation theorem is used as a basic tool, and which is illustrated by various known and new examples (Section 2). Given a strict negation function and one connective, the other can be constructed, so that the corresponding De Morgan law is valid. In case of given Archimedean connectives, there can be constructed negation functions (Section 3). Given a non-strict Archimedean connective, a negation function and the other connective can be constructed, so that in addition to the De Morgan laws, the excluded middle law and the law of non-contradiction are valid, i.e. the ne…
Conjunction and Disjunction Among Conditional Events
2017
We generalize, in the setting of coherence, the notions of conjunction and disjunction of two conditional events to the case of n conditional events. Given a prevision assessment on the conjunction of two conditional events, we study the set of coherent extensions for the probabilities of the two conditional events. Then, we introduce by a progressive procedure the notions of conjunction and disjunction for n conditional events. Moreover, by defining the negation of conjunction and of disjunction, we show that De Morgan’s Laws still hold. We also show that the associative and commutative properties are satisfied. Finally, we examine in detail the conjunction for a family \(\mathcal F\) of t…
Conditional Random Quantities and Compounds of Conditionals
2013
In this paper we consider finite conditional random quantities and conditional previsions assessments in the setting of coherence. We use a suitable representation for conditional random quantities; in particular the indicator of a conditional event $E|H$ is looked at as a three-valued quantity with values 1, or 0, or $p$, where $p$ is the probability of $E|H$. We introduce a notion of iterated conditional random quantity of the form $(X|H)|K$ defined as a suitable conditional random quantity, which coincides with $X|HK$ when $H \subseteq K$. Based on a recent paper by S. Kaufmann, we introduce a notion of conjunction of two conditional events and then we analyze it in the setting of cohere…
Generalized Logical Operations among Conditional Events
2018
We generalize, by a progressive procedure, the notions of conjunction and disjunction of two conditional events to the case of n conditional events. In our coherence-based approach, conjunctions and disjunctions are suitable conditional random quantities. We define the notion of negation, by verifying De Morgan’s Laws. We also show that conjunction and disjunction satisfy the associative and commutative properties, and a monotonicity property. Then, we give some results on coherence of prevision assessments for some families of compounded conditionals; in particular we examine the Frechet-Hoeffding bounds. Moreover, we study the reverse probabilistic inference from the conjunction $\mathcal…
Prediction of the difficulty level in a standardized reading comprehension test : contributions from cognitive psychology and psychometrics
2013
Esta investigación busca identificar posibles variables predictoras del nivel de dificultad de los ítems de comprensión de lectura utilizados en una prueba psicométrica estandarizada para la admisión a una institución universitaria. Se propusieron varios posibles predictores del nivel de dificultad, a saber: densidad proposicional, negaciones, estructura sintáctica, dificultad del vocabulario, presencia elementos de realce (palabras resaltadas tipográficamente), abstracción del ítem y grado de similitud entre opción correcta y texto relevante para resolver el ítem. Mediante el Modelo Logístico Lineal de Rasgo Latente se encontró que la cantidad de proposiciones, la estructura sintáctica y, …
Logical Sentential Calculi Inspired by the Chrysippean Sentential Calculus
2021
The aim of the present paper is to consider an approach, different from that presented by J. Łukasiewicz, concerning the interpretation of the so-called stoic undemonstrables, which were given by Chrysippus. Stoic undemonstrables have been interpreted in two different ways: using the notion of “negation of a sentence” (Łukasiewicz) and using the notion of “a sentence inconsistent with a given one” (Mates). According to the Stoics, two sentences are inconsistent if one of them is negation of the other. The Mates’ interpretation generates five different inference rules. Based on one of these rules we can consider (with other undemonstrables) four different stoic propositional calculi. Taking …
On Negation. What do we need to “say no”?
2011
By looking at first-language learning, we can see three broad categories in the acquisition of negation (see DIMROTH 2010 for a review):1) rejection/refusal; 2) disappearance/ non-existence/unfulfilled expectation; 3) denial. Denial is the most complex form of negation and the last to be acquired. I present the hypothesis that denial relies on false belief understanding. Evidence from normally developed and from Autistic subjects confirms this hypothesis. Competence in linguistic denial is usually acquired by the age of 2 years and a half and 3 years. According to this hypothesis, the attribution of false belief understanding could be lowered to the age of about 2 and a half years. Hence, p…
Subject case alternation in Latvian and Estonian existential clauses
2019
In Latvian and Estonian existential clauses, the subject’s case form alternates between nominative vs. genitive (in Latvian) and nominative vs. partitive (in Estonian). This article is a study of the case-alternation systems of existential clauses and related clause types, locative and possessive clauses in these languages. It includes a corpusbased analysis of Latvian existential clauses that is being compared with Estonian corpus-based findings on similar clause types in Estonian. *** Subjekti kaandevaheldus lati ja eesti keele eksistentsiaallausetes Nii eesti kui ka lati keeles esineb subjekti kaandevaheldust. Lati keeles saab subjekt olla lisaks nominatiivile ka genitiivis, eesti keeles…
Polar meaning and “expletive” negation in approximative adverbs
2005
In this paper we provide a synchronic and diachronic analysis of an instance of so-called “expletive” negation in the Spanish approximative adverb por poco. Synchronically, we show that this adverb, when combined with the sentence negator no, is ambiguous between ~p (“expletive”) and ~~p (“canonical”) meanings. Diachronically, we show that this ambiguity arose due to a change in the negation system of Spanish around the fifteenth century. As a result, the supposed instances of “expletive” negation found in present-day uses of por poco are not really expletive at all, but rather are a holdover from the Old Spanish requirement of preverbal negative concord.
The impact of input and output domains: towards a function-based categorization of types of grammaticalization
2015
Abstract A wide variety of semantic–pragmatic processes have been linked to grammaticalization, such as pragmatic enrichment (Hopper and Traugott, 2003) and the loss of pragmatic meaning (Heine and Reh, 1984). As this example shows, not all of these subprocesses are compatible with each other. It therefore makes sense to assume that different subprocesses may be linked to different stages, different input or different output types of grammaticalization processes. In the present paper, various types of changes will be analyzed with respect to the semantic and pragmatic changes that typically accompany them, using mostly examples from English, German and the Romance languages. On this basis, …