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Am I? Who knows
(startrek.website)
Source Page. Credit is to SMBC-Comics and even more credit to @aperson@beehaw.org who noticed it was missing and found the credit in this comment. Sorry about that and thanks, you're awesome aperson <3
The “magic law” is just the consequence of what it means to be the “same” person. To be the same person, you have to, among other similarities, take up the same spatial-temporal space. This is why if we ask “is Bruce Wayne the same person as Batman” one of the first thoughts is “you know, I’ve never seen them in the same room before.”
Maybe what you’re getting hung up on here is the split. Let’s imagine there is one river (river A) which goes for a bit before it forks and becomes river b and river c. In some sense, we could say that both river b and river c are river a. But if you’re river b, then river c is not the same as you, and vice versa.
I don't think that as the point of the episode. As their lives diverged their interests and desires did so as well. They were similar, yes, but still different people. Will was promoted after successfully evacuating the people of Nervala IV and he became focused on his career. Thomas was stuck on Nervala IV thinking of the woman he left behind, and when he's rescued he wants to rekindle that relationship whereas Will let it fizzle.
To say nothing of Thomas eventually choosing to join the Maquis. That is not something we'd ever see from Will.
Will: Good luck, Will.
Thomas: I actually thought I might go with the name Thomas.
Troi: Your middle name.
Will: I guess we really are different. I never really cared for that name.
Thomas: Well, I sort of like it. I guess I'd better get going.