Search results for " conjunction"
showing 10 items of 30 documents
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…
Data Banks and Multivariate Statistics in Physical Anthropology
1984
In recent decades, the fields of administration and economy, the press and - last but not least - the sciences have been characterized by an “explosion of knowledge”, and, as a consequence, by the problem of managing the rapidly increasing mass of information. It has been estimated that knowledge doubles each five years, and even that the interval of doubling seems to decrease. The main response to this challenge are computerized and structured data collections called data banks. “Data banks are systems of data collections which are organized according to logical and/or formal criteria; they should make it possible to reproduce the data of the total collection arranged according to differen…
Sakārtojuma saikļi dažādu reģistru tekstu saliktos sakārtotos teikumos
2017
Šajā pētījumā tiek analizēti sakārtojuma saikļi saliktos sakārtotos teikumos Britu Nacionālajā Korpusā. Pētījuma mērķis ir izpētīt sakārtojuma saikļu, kas saista neatkarīgas teikuma daļas saliktos sakārtotos teikumos tekstos, kas sagrupēti četros dažādos reģistros (akadēmiski teksti, daiļliteratūra, laikraksti un sarunas) Britu Nacionālajā Korpusā, biežumu un dažādību. Teorētiskā pētījuma metode, kas tika izmantota, ir teoriju par sakārtojuma saikļiem, saliktiem sakārtotiem teikumiem, reģistru un korpusu salīdzināšana. Sekojošas kvantitatīvās pētījuma metodes tika izmantotas – pirmkārt, saliktu sakārtotu teikumu ieguve no korpusa, pēc tam tika izmantotas tādas aprakstošās statistikas metode…
Algebraic aspects and coherence conditions for conjunctions among conditional events
2018
We deepen the study of a notion of conjunction among conditional events, introduced in previous papers in theframework of coherence. This notion of conjunction, differently from other approaches, is given in the setting ofconditional random quantities. We show that some well known properties which are satisfied by conjunctionsof unconditional events are also satisfied by conjunctions of conditional events. In particular we examine anadditive property and a decomposition formula, by also obtaining a generalized inclusion-exclusion formula. Then,by exploiting the notion of conjunction, we introduce the set of constituents generated bynconditional events.Moreover, under logical independence, w…
Compound conditionals as random quantities and Boolean algebras
2022
Conditionals play a key role in different areas of logic and probabilistic reasoning, and they have been studied and formalised from different angles. In this paper we focus on the de Finetti's notion of conditional as a three-valued object, with betting-based semantics, and its related approach as random quantity as mainly developed by two of the authors. Compound conditionals have been studied in the literature, but not in full generality. In this paper we provide a natural procedure to explicitly attach conditional random quantities to arbitrary compound conditionals that also allows us to compute their previsions. By studying the properties of these random quantities, we show that, in f…
Universal Restrictions in Reading: What Do French Beginning Readers (Mis)perceive?
2020
International audience; Despite the many reports that consider statistical distribution to be vitally important in visual identification tasks in children, some recent studies suggest that children do not always rely on statistical properties to help them locate syllable boundaries. Indeed, sonority-a universal phonological element-might be a reliable source for syllable segmentation. More specifically, are children sensitive to a universal phonological sonority-based markedness continuum within the syllable boundaries for segmentation (e.g., from marked, illegal intervocalic clusters, "jr," to unmarked, legal intervocalic clusters, "rj"), and how does this sensitivity progress with reading…
Logical Operations among Conditional Events: theoretical aspects and applications
2019
We generalize the notions of conjunction and disjunction of two conditional events to the case of $n$ conditional events. These notions are defined, in the setting of coherence, by means of suitable conditional random quantities with values in the interval $[0,1]$. We also define the notion of negation, by verifying De Morgan's Laws. Then, we give some results on coherence of prevision assessments for some families of compounded conditionals and we show that some well known properties which are satisfied by conjunctions and disjunctions of unconditional events are also satisfied by conjunctions and disjunction of conditional events. We also examine in detail the coherence of the prevision a…
On compound and iterated conditionals
2021
We illustrate the notions of compound and iterated conditionals introduced, in recent papers, as suitable conditional random quantities, in the framework of coherence. We motivate our definitions by examining some concrete examples. Our logical operations among conditional events satisfy the basic probabilistic properties valid for unconditional events. We show that some, intuitively acceptable, compound sentences on conditionals can be analyzed in a rigorous way in terms of suitable iterated conditionals. We discuss the Import-Export principle, which is not valid in our approach, by also examining the inference from a material conditional to the associated conditional event. Then, we illus…
Probabilistic entailment in the setting of coherence: The role of quasi conjunction and inclusion relation
2013
In this paper, by adopting a coherence-based probabilistic approach to default reasoning, we focus the study on the logical operation of quasi conjunction and the Goodman-Nguyen inclusion relation for conditional events. We recall that quasi conjunction is a basic notion for defining consistency of conditional knowledge bases. By deepening some results given in a previous paper we show that, given any finite family of conditional events F and any nonempty subset S of F, the family F p-entails the quasi conjunction C(S); then, given any conditional event E|H, we analyze the equivalence between p-entailment of E|H from F and p-entailment of E|H from C(S), where S is some nonempty subset of F.…