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If I have a statement: A ---> C
and a second statement: B ---->C
is it fair to say A + B ----> C?
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If I have a statement: A ---> C
and a second statement: B ---->C
is it fair to say A + B ----> C?
2 comments
it might be helpful if you look at the contrapositives. the correct inference is /c --> /a and /b which is totally different from the incorrect inference: /c --> /a or /b.
by the way, you can also conclude: /a some /b
No- here’s why. While it would be true in that if you have A and B then you must have C, that logical representation would be excluding two other valid possibilities:
just A
just B
Both of these possibilities are sufficient for concluding C. So while it would not be inaccurate per say to represent it as A + B —> C, it would be an incomplete representation of the logical relationship, seeing as it’s excluding two other possible worlds (only represents 1/3 of the worlds).
the correct representation would be:
A or B —> C
In this representation, 3 possibilities exist that are each sufficient to trigger the necessary.
just A
just B
A and B