I remember a story about two ambitious yeshiva students arguing to an impasse.

They both agreed to settle their dispute by consulting a wise old rabbi.

The first student feverishly made their case to the wise old rabbi and the rabbi nodded thoughtfully and said, "you're right".

The second student, unfazed, stepped up and laid out their own argument, making sure not to skip over any critical points of doctrine, and when they had exhausted their rhetoric, the wise old rabbi nodded thoughtfully and said, "you're right".

Now the students couldn't fathom how both arguments could possibly be considered correct and implored the wise old rabbi for some sort of satisfactory explanation.

Well, it's rather simple really, the wise old rabbi began slowly, if you accept the first student's axioms, then their conclusions follow logically. And if you accept the second student's axioms, then their conclusions follow logically.

You two forgot to negotiate your axioms.

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