Logical task: How to determine which of the two arguing was right?

Question

Mathematics

Good afternoon! There are two disputants who do not know each other, but they decided to start a dispute remotely (via the Internet, by mail, etc.). Let's say that they bet on interest (money, things, and other material values) and asked a third party to act as the custodian of the material value that they disputed. All three do not know each other. The third person is not interested in playing along with one of the disputants. This dispute ends up with one right and one wrong, without intermediate options and philosophy, only a specific result. How is it possible for this third person to determine the winner? And this judge (third) cannot base his decision on the arguments of the disputants, since deception is possible.

Answer 1

Let him tell the truth and not be mistaken.

Answer 2

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Answer 3

It is necessary to base the decision not on arguments, but on facts, their evidence and logical reasoning.