Inconsistency and the dilemma of intuitionistic research in generative syntax

The paper is a contribution to the current debate on linguistic data and evidence. It raises two questions: (a) What kinds of inconsistency do emerge in generative syntax? (b) How are these kinds of inconsistency to be evaluated with respect to the workability of the syntactic theory at issue? As a first step, a system of paraconsistent logic is introduced which distinguishes between weak and strong inconsistency. While weak inconsistency is harmless, strong inconsistency is destructive. Second, a case study demonstrates that in generative syntax weak inconsistency may be a useful tool of problem solving. Third, two further case studies show that intuition as a data source triggers the emergence of strong inconsistency in generative syntax. Finally, this results in a methodological dilemma with far-reaching consequences

Towards Paraconsistent Inquiry

In this paper, we discuss Hintikka’s theory of interrogative approach to inquiry with a focus on bracketing. First, we dispute the use of bracketing in the interrogative model of inquiry arguing that bracketing provides an indispensable component of an inquiry. Then, we suggest a formal system based on strategy logic and logic of paradox to describe the epistemic aspects of an inquiry, and obtain a naturally paraconsistent system. We then apply our framework to some cases to illustrate its use

Assuring safety in an air traffic control system with defeasible logic programming

Assuring safety in complex technical systems is a crucial issue in several critical applications like air traffic control or medical devices. We present a preliminary framework based on argumentation for assisting flight controllers to reach a decision related to safety constraints in an ever changing environment in which sensor data is gathered at real time.Sociedad Argentina de Informática e Investigación Operativa (SADIO

Inconsistency Management from the Standpoint of Possibilistic Logic

International audienceUncertainty and inconsistency pervade human knowledge. Possibilistic logic, where propositional logic formulas are associated with lower bounds of a necessity measure, handles uncertainty in the setting of possibility theory. Moreover, central in standard possibilistic logic is the notion of inconsistency level of a possibilistic logic base, closely related to the notion of consistency degree of two fuzzy sets introduced by L. A. Zadeh. Formulas whose weight is strictly above this inconsistency level constitute a sub-base free of any inconsistency. However, several extensions, allowing for a paraconsistent form of reasoning, or associating possibilistic logic formulas with information sources or subsets of agents, or extensions involving other possibility theory measures, provide other forms of inconsistency, while enlarging the representation capabilities of possibilistic logic. The paper offers a structured overview of the various forms of inconsistency that can be accommodated in possibilistic logic. This overview echoes the rich representation power of the possibility theory framework

Assuring safety in an air traffic control system with defeasible logic programming

Assuring safety in complex technical systems is a crucial issue in several critical applications like air traffic control or medical devices. We present a preliminary framework based on argumentation for assisting flight controllers to reach a decision related to safety constraints in an ever changing environment in which sensor data is gathered at real time.Sociedad Argentina de Informática e Investigación Operativa (SADIO