Logical independence is defined prior to probability via a new extension theorem, making it probabilistically tractable and allowing limit theorems to hold under σ-logical independence plus identical ranges for the random variables.
Pap.Handbook of Measure Theory, volume 1-2
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Revisiting the logical independence
Logical independence is defined prior to probability via a new extension theorem, making it probabilistically tractable and allowing limit theorems to hold under σ-logical independence plus identical ranges for the random variables.