Pfeifer, Niki and Sanfilippo, Giuseppe (2023) Connexive Logic, Probabilistic Default Reasoning, and Compound Conditionals. STUDIA LOGICA. ISSN 0039-3215, 1572-8730
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We present two approaches to investigate the validity of connexive principles and related formulas and properties within coherence-based probability logic. Connexive logic emerged from the intuition that conditionals of the form if not -A, then A, should not hold, since the conditional's antecedent not -A contradicts its consequent A. Our approaches cover this intuition by observing that the only coherent probability assessment on the conditional event A|(A) is p(A| (A)) = 0. In the first approach we investigate connexive principles within coherence-based probabilistic default reasoning, by interpreting defaults and negated defaults in terms of suitable probabilistic constraints on conditional events. In the second approach we study connexivity within the coherence framework of com-pound conditionals, by interpreting connexive principles in terms of suitable conditional random quantities. After developing notions of validity in each approach, we analyze the following connexive principles: Aristotle's theses, Aristotle's Second Thesis, Abelard's First Principle, and Boethius' theses. We also deepen and generalize some principles and inves-tigate further properties related to connexive logic (like non-symmetry). Both approaches satisfy minimal requirements for a connexive logic. Finally, we compare both approaches conceptually.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUASI CONJUNCTION; COHERENCE; TRANSITIVITY; DISJUNCTION; INFERENCES; CHECKING; BOUNDS; Coherence; Compounds of conditionals; Conditional events; Conditional random quantities; Connexive principles; Default reasoning; Iterated conditionals; Probability logic |
| Subjects: | 100 Philosophy & psychology > 100 Philosophy |
| Divisions: | Philosophy, Art History, History, and Humanities > Institut für Philosophie > Lehrstuhl für Theoretische Philosophie (Prof. Dr. phil Hans Rott) |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Feb 2024 07:30 |
| Last Modified: | 28 Feb 2024 07:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59166 |
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