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Timeline for Locally consistent theories

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Dec 22, 2016 at 18:58 comment added Mathemologist Thank you both for your comments, this gives me a good starting place!
Dec 22, 2016 at 18:50 comment added Gerhard Paseman For contrast and clarity, check out compactness for logical systems, where for first order logic a theory (set of sentences is consistent iff every finite subset is) is not just locally consistent. Gerhard "Not All Logics Are Compact" Paseman, 2016.12.22.
Dec 22, 2016 at 18:47 comment added user44143 "Relevant logic" answers your question, especially for non-mathematical theories.
Dec 22, 2016 at 18:34 history asked Mathemologist CC BY-SA 3.0