A Triple Uniqueness of the Maximum Entropy Approach

Landes, Jürgen (2021): A Triple Uniqueness of the Maximum Entropy Approach. In: Vejnarová, Jiřina; Wilson, Nic (eds.) : Proceedings of ECSQARU. LNAI, Vol. 12897. Springer. pp. 644-656

Abstract

Inductive logic is concerned with assigning probabilities to sentences given probabilistic constraints. The Maxium Entropy Approach to inductive logic I here consider assigns probabilities to all sentences of a first order predicate logic. This assignment is built on an application of the Maximum Entropy Principle, which requires that probabilities for uncertain inference have maximal Shannon Entropy. This paper puts forward two different modified applications of this principle to first order predicate logic and shows that the original and the two modified applications agree in many cases. A third promising modification is studied and rejected.

• Item Type: Book Section
• Faculties: Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP); Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic; Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Philosophy of Artificial Intelligence; Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Philosophy of Science; Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Epistemology
• Subjects: 000 Computer science, information and general works > 000 Computer science, knowledge, and systems; 100 Philosophy and Psychology > 120 Epistemology; 100 Philosophy and Psychology > 160 Logic
• ISBN: 978-3-030-86771-3