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Is $P(tautology) = 1$? What are the connections between logic and probability?
It's well-known that sets are "isomorphic" to logic: if we treat $\varphi(A_1, A_2)$ as a shorthand for $\forall x: \varphi(x \in A_1, x \in A_2)$ then $A \land B \equiv A \cap B$ and $A \rightarrow B ...
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The Verification of a Logical Statement in Jaynes' Book
Could you please help me with the following question, posed in the first chapter of Jaynes' Probability Theory? Take $$C\equiv(A+\bar B)(\bar A+A\bar B)+\bar AB(A+B)$$
The verification of $$C=(B \...