Are the following four statements always true -
- If Proposition B is the Logical consequence of proposition A, then B is material conditionally connected with A.
- If Proposition E is material conditionally connected with C, then it is NOT necessarily the case that E is a logical consequence of C.
- If proposition H corresponds to an observed fact H* which is supposed to be causally related to observed fact G* (say H* causes G*), then the proposition G corresponding to the observed fact G* is material conditionally connected with Proposition H.
- If proposition X is material conditionally connected with Proposition Y, then it is NOT necessarily the case that X and Y are causally related.
I am a student of Physics, researching on quantum logic. I am confused by the above statements which I hypothesized regarding classical logic. Any help would be much appreciated.
Definitions taken from the comments:
Material conditional: Proposition A is material conditionally connected with Proposition B, denoted as "If A then B" when the proposition "If A then B" has a truth value of false only if A is true and B false. For all other combinations of truth values assigned to A and B, "If A then B" is true.
Logical Necessity: Proposition A is a logical consequence of proposition B, if the truth of proposition B (along with maybe other auxiliary axioms), necessitates the truth of Proposition A. Example: The fact that an equilateral triangle has all three sides equal necessitates that all of the three angles are each 60 degrees.