Is the following situation a logical and rational reason to believe in G-d?:
Judaism, unlike any other known religion, claims that G-d gave the torah not to just one person but to an entire nation. The whole nation of Israel, which numbered over a million people witnessed Moses receiving the ten commandments and heard G-d tell them what the torah was.
Unless the above really happened, there is no logical way to explain the tradition that over a million people heard G-d speak. The generation it was supposed to happen to would not be able to be convinced that they saw something they really didn't. And if the "lie" tried to be started a few generations later, the people would ask why they had never heard this claim before. Therefore, it must have really happened and the torah and all it contains is divine.