Second Order Inductive Logic and Wilmers' Principle

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Journal of Applied Logic 12 (4):462-476 (2014)
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Abstract

We extend the framework of Inductive Logic to Second Order languages and introduce Wilmers' Principle, a rational principle for probability functions on Second Order languages. We derive a representation theorem for functions satisfying this principle and investigate its relationship to the first order principles of Regularity and Super Regularity.

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Jeffrey Paris
University of Manchester

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