Absolutely independent axiomatizations for countable sets in classical logic

Studia Logica 48 (1):77 - 84 (1989)
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Abstract

The notion of absolute independence, considered in this paper has a clear algebraic meaning and is a strengthening of the usual notion of logical independence. We prove that any consistent and countable set in classical prepositional logic has an absolutely independent axiornatization.

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Explicating Logical Independence.Lloyd Humberstone - 2020 - Journal of Philosophical Logic 49 (1):135-218.

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