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Document Details : Title: Invariance Principles in Polyadic Inductive Logic Author(s): RONEL, Tahel , VENCOVSKÁ, Alena Journal: Logique et Analyse Volume: 228 Date: 2014 Pages: 541-561 DOI: 10.2143/LEA.228.0.3078174 Abstract : We show that the Permutation Invariance Principle can be equivalently stated to involve invariance under finitely many permutations, specified by their action on a particular finite set of formulae. We argue that these formulae define the polyadic equivalents of unary atoms. Using this we investigate the properties of probability functions satisfying this principle, in particular, we examine the idea that the Permutation Invariance Principle provides a natural generalisation of (unary) Atom Exchangeability. We also clarify the status of the Principle of Super Regularity in relation to invariance principles. |
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