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Transitive reasoning with imprecise probabilities

In S. Destercke & T. Denoeux (eds.), Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2015). Springer LNAI 9161. pp. 95-105 (2015)

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  1. Square of opposition under coherence.Niki Pfeifer & Giuseppe Sanfilippo - 2017 - In M. B. Ferraro, P. Giordani, B. Vantaggi, M. Gagolewski, P. Grzegorzewski, O. Hryniewicz & María Ángeles Gil (eds.), Soft Methods for Data Science. pp. 407-414.
    Various semantics for studying the square of opposition have been proposed recently. So far, only [14] studied a probabilistic version of the square where the sentences were interpreted by (negated) defaults. We extend this work by interpreting sentences by imprecise (set-valued) probability assessments on a sequence of conditional events. We introduce the acceptability of a sentence within coherence-based probability theory. We analyze the relations of the square in terms of acceptability and show how to construct probabilistic versions of the square (...)
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  • Conditionals, Counterfactuals, and Rational Reasoning: An Experimental Study on Basic Principles.Leena Tulkki & Niki Pfeifer - 2017 - Minds and Machines 27 (1):119-165.
    We present a unified approach for investigating rational reasoning about basic argument forms involving indicative conditionals, counterfactuals, and basic quantified statements within coherence-based probability logic. After introducing the rationality framework, we present an interactive view on the relation between normative and empirical work. Then, we report a new experiment which shows that people interpret indicative conditionals and counterfactuals by coherent conditional probability assertions and negate conditionals by negating their consequents. The data support the conditional probability interpretation of conditionals and the (...)
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  • Uncertain conditionals and counterfactuals in (non-)causal settings.Niki Pfeifer & R. Stöckle-Schobel - 2015 - In G. Arienti, B. G. Bara & G. Sandini (eds.), Proceedings of the EuroAsianPacific Joint Conference on Cognitive Science (4th European Conference on Cognitive Science; 10th International Conference on Cognitive Science). CEUR Workshop Proceedings. pp. 651-656.
    Conditionals are basic for human reasoning. In our paper, we present two experiments, which for the first time systematically compare how people reason about indicative conditionals (Experiment 1) and counterfactual conditionals (Experiment 2) in causal and non-causal task settings (N = 80). The main result of both experiments is that conditional probability is the dominant response pattern and thus a key ingredient for modeling causal, indicative, and counterfactual conditionals. In the paper, we will give an overview of the main experimental (...)
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