330 citations · 720 across the 25 of their papers we have counts for
25 papers
A probabilistic analysis of selected notions of iterated conditioning under coherence
Lydia Castronovo, Giuseppe Sanfilippo
It is well know that basic conditionals satisfy some desirable basic logical and probabilistic properties, such as the compound probability theorem, but checking the validity of th…
On Trivalent Logics, Compound Conditionals, and Probabilistic Deduction Theorems
Angelo Gilio, David E. Over, Niki Pfeifer +1
In this paper we recall some results for conditional events, compound conditionals, conditional random quantities, p-consistency, and p-entailment. Then, we show the equivalence be…
Subjective probability, trivalent logics and compound conditionals
Angelo Gilio, Giuseppe Sanfilippo
In this work we first illustrate the subjective theory of de Finetti. We recall the notion of coherence for both the betting scheme and the penalty criterion, by considering the un…
Compound conditionals as random quantities and Boolean algebras
Tommaso Flaminio, Angelo Gilio, Lluis Godo +1
Conditionals play a key role in different areas of logic and probabilistic reasoning, and they have been studied and formalized from different angles. In this paper we focus on the…
Iterated Conditionals and Characterization of P-entailment
Angelo Gilio, Giuseppe Sanfilippo
In this paper we deepen, in the setting of coherence, some results obtained in recent papers on the notion of p-entailment of Adams and its relationship with conjoined and iterated…
Interpreting connexive principles in coherence-based probability logic
Niki Pfeifer, Giuseppe Sanfilippo
We present probabilistic approaches to check the validity of selected connexive principles within the setting of coherence. Connexive logics emerged from the intuition that conditi…
Compound conditionals, Fréchet-Hoeffding bounds, and Frank t-norms
Angelo Gilio, Giuseppe Sanfilippo
In this paper we consider compound conditionals, Fréchet-Hoeffding bounds and the probabilistic interpretation of Frank t-norms. By studying the solvability of suitable linear syst…
Probability propagation rules for Aristotelian syllogisms
Niki Pfeifer, Giuseppe Sanfilippo
We present a coherence-based probability semantics and probability propagation rules for (categorical) Aristotelian syllogisms. For framing the Aristotelian syllogisms as probabili…
Probabilities of conditionals and previsions of iterated conditionals
Giuseppe Sanfilippo, Angelo Gilio, David Over +1
We analyze selected iterated conditionals in the framework of conditional random quantities. We point out that it is instructive to examine Lewis's triviality result, which shows t…
Predictive distributions that mimic frequencies over a restricted subdomain (expanded preprint version)
Frank Lad, Giuseppe Sanfilippo
A predictive distribution over a sequence of events is said to be "frequency mimicking" whenever the probability for the final event conditioned on the outcome of the first $…
Algebraic aspects and coherence conditions for conjoined and disjoined conditionals
Angelo Gilio, Giuseppe Sanfilippo
We deepen the study of conjoined and disjoined conditional events in the setting of coherence. These objects, differently from other approaches, are defined in the framework of con…
Conjunction of Conditional Events and T-norms
Angelo Gilio, Giuseppe Sanfilippo
We study the relationship between a notion of conjunction among conditional events, introduced in recent papers, and the notion of Frank t-norm. By examining different cases, in th…
Scoring Alternative Forecast Distributions: Completing the Kullback Distance Complex
Frank Lad, Giuseppe Sanfilippo
We develop two surprising new results regarding the use of proper scoring rules for evaluating the predictive quality of two alternative sequential forecast distributions. Both of…
Generalized Logical Operations among Conditional Events
Angelo Gilio, Giuseppe Sanfilippo
We generalize, by a progressive procedure, the notions of conjunction and disjunction of two conditional events to the case of conditional events. In our coherence-based approa…
Probabilistic entailment and iterated conditionals
Angelo Gilio, Niki Pfeifer, Giuseppe Sanfilippo
In this paper we exploit the notions of conjoined and iterated conditionals, which are defined in the setting of coherence by means of suitable conditional random quantities with v…
Reassessing Accuracy Rates of Median Decisions
Andrea Capotorti, Frank Lad, Giuseppe Sanfilippo
We show how Bruno de Finetti's fundamental theorem of prevision has computable applications in statistical problems that involve only partial information. Specifically, we assess a…
A Generalized Probabilistic Version of Modus Ponens
Giuseppe Sanfilippo, Niki Pfeifer, Angelo Gilio
Modus ponens (\emph{from and "if then " infer }, short: MP) is one of the most basic inference rules. The probabilistic MP allows for managing uncertainty by transmit…
Probabilistic squares and hexagons of opposition under coherence
Niki Pfeifer, Giuseppe Sanfilippo
Various semantics for studying the square of opposition and the hexagon of opposition have been proposed recently. We interpret sentences by imprecise (set-valued) probability asse…
Probabilistic inferences from conjoined to iterated conditionals
Giuseppe Sanfilippo, Niki Pfeifer, David E. Over +1
There is wide support in logic, philosophy, and psychology for the hypothesis that the probability of the indicative conditional of natural language, $P(\textit{if } A \textit{ the…
Transitive reasoning with imprecise probabilities
Angelo Gilio, Niki Pfeifer, Giuseppe Sanfilippo
We study probabilistically informative (weak) versions of transitivity, by using suitable definitions of defaults and negated defaults, in the setting of coherence and imprecise pr…
Conditional Random Quantities and Compounds of Conditionals
Angelo Gilio, Giuseppe Sanfilippo
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…
Quasi Conjunction, Quasi Disjunction, T-norms and T-conorms: Probabilistic Aspects
Angelo Gilio, Giuseppe Sanfilippo
We make a probabilistic analysis related to some inference rules which play an important role in nonmonotonic reasoning. In a coherence-based setting, we study the extensions of a…
Probabilistic entailment in the setting of coherence: The role of quasi conjunction and inclusion relation
Angelo Gilio, Giuseppe Sanfilippo
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 in…
From imprecise probability assessments to conditional probabilities with quasi additive classes of conditioning events
Giuseppe Sanfilippo
In this paper, starting from a generalized coherent (i.e. avoiding uniform loss) intervalvalued probability assessment on a finite family of conditional events, we construct condit…