Psychologist: Some astrologers claim that our horoscopes completely determine our personalities, but this claim is false.
Conclusion
This claim is false. rephrased: our horoscopes do not completely determine our personalities.
Evidence
We found two individuals born 40 years ago today on the same day and at the same time (one in Toronto and one in New York), and they have different personalities.
Evaluate
In order to prove that "X does not completely determine Y", the author has to show that sometimes X is present and Y happens, but sometimes X is present and Y doesn't happen. Or if we're thinking less in Absolute terms and more in Relative terms ... sometimes X is present and this Y happens, but sometimes X is present and this different Y happens.
If we were trying to prove , then we would make our case by saying, .
If the author wants to prove that "horoscopes do not completely determine our personalities", then the author needs to show us .
The author is trying to do just that. Does she establish 1. Same horoscope (no, just that they are born same day / same time) 2. Different personalities (yes, that's the final sentence)
Goal
The missing idea in this argument is the issue of whether these two individuals have the same horoscope. The author is assuming, .