Reasoning under Uncertainty: Subjective Probability and Logic

This interdisciplinary workshop brings together renowned international researchers from philosophy, logic, formal epistemology, and mathematics to discuss the major issues, contemporary methodologies that have arisen in the study of reasoning under uncertainty, subjective probability and logic. We will investigate a specific perspective concerning drawing inferences from uncertain premises. Topics include, but are not limited to reasoning with and about coherence, conditionals, counterfactuals, fuzzy sets, quantum probability, subjective and objective probability, trivalent logics, and maximum entropy.

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The Workshop will start on Monday, August 26, at 2 p.m. and finish on Wednesday, August 28, at 2:20 p.m.?The venue is the campus of the University of Regensburg (Room VG 1.36 of the "Vielberth-Geb?ude").

? Monday, August 26 ?
2.00 p.m. - 2.55 p.m.	Gert de Cooman: A common framework for conservative inference in classical and quantum probability
2.55 p.m. - 3.05 p.m.	Short break
3.05 p.m. - 4.00 p.m.	Nicole Cruz: Disentangling conditional dependencies
4.00 p.m. - 4.20 p.m.	Coffee break
4.20 p.m. - 5.15 p.m.	Sabine Frittella: Probabilistic reasoning with incomplete and contradictory information

? Tuesday, August 27 ?
10.00 a.m. - 10.55 a.m.	Giuseppe Sanfilippo & Niki Pfeifer: On Trivalent Logics, Probabilistic Weak Deduction Theorems, and a General Import-Export Principle (Part 1)?
10.55 a.m. - 11.05 a.m.	Short break
11.05 a.m. - 12.00 p.m.	Niki Pfeifer & Giuseppe Sanfilippo: On Trivalent Logics, Probabilistic Weak Deduction Theorems, and a General Import-Export Principle (Part 2)
12.00 p.m. - 12.20 p.m.	Coffee break
12.20 p.m. - 1.15 p.m.	Tommaso Flaminio: Conditionals, Counterfactuals, and Their Probability
1.15 p.m. - 3.15 p.m.	Lunch break
3.15 p.m. - 4.10 p.m.	Lydia Castronovo: A compound conditionals approach to fuzzy sets
4.10 p.m. - 4.30 p.m.	Coffee break
4.30 p.m. - 5.25 p.m.	Jon Williamson: Where do we stand on maximal entropy?

? Wednesday, August 28 ?
10.00 a.m. - 10.55 a.m.	Hans Rott: Conditionals, Support and Connexivity?
10.55 a.m. - 11.05 a.m.	Short break
11.05 a.m. - 12.00 p.m.	Paul ?gré: Probability for trivalent conditionals
12.00 p.m. - 12.20 p.m.	Coffee break
12.20 p.m. - 1.15 p.m.	Gianluigi Oliveri: Knowledge and Uncertainty in Contemporary Mathematics
1.15 p.m. - 1.25 p.m.	Short break
1.25 p.m. - 2.20 p.m.	Holger Leuz: Objective Chance and Teleology

Timetable

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Lydia Castronovo (University of Palermo, Italy)
Gert de Cooman (Ghent University, Belgium)
Nicole Cruz (University of Potsdam, Germany)
Paul ?gré?(Institut Jean-Nicod, France)
Tommaso Flaminio (Artificial Intelligence Research Institute IIIA-CSIC, Spain)
Sabine Frittella (Institut National des Sciences Appliquées Centre Val de Loire, France)
Holger Leuz (University of Regensburg, Germany)
Gianluigi Oliveri (University of Palermo, Italy)
Niki Pfeifer (University of Regensburg, Germany)
Hans Rott (University of Regensburg, Germany)
Giuseppe Sanfilippo (University of Palermo, Italy)
Jon Williamson (University of Kent, UK)

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Lydia Castronovo

A compound conditionals approach to fuzzy sets

A fuzzy set is a set characterized by a membership function which assigns to each object a grade of membership. The probabilistic approach to fuzzy set theory has usually been addressed as not-flexible enough to deal with fuzzy concepts. Coletti and Scozzafava, agreeing that a “classical” probability approach is not adequate to handle fuzzy logic structures, proposed a different approach to fuzzy set theory based on coherent conditional probability. Given a property φ of a random quantity X with range C_x, the authors focused on the conditional events?E