What's the goal of each Adam and Claudia?
It seems to me that Adam would like to end time which sounds like he would like to break the cycle while Claudia would like to keep it?
Movies & TV Stack Exchange is a question and answer site for movie and TV enthusiasts. It only takes a minute to sign up.Sign up to join this community
The question is currently unanswerable as the show has been sufficiently vague about what's going on, with additional hints of ulterior motives and things not seeming what they are; enough so that you simply cannot tell right now.
Adam has been talkative but we cannot know if he's been truthful. He has repeatedly stated that he wants to break the time loop, and that he believes the "next" loop (i.e. the one after the events we witness) will be the last one. He's been mostly painted as the villain - but there have been subtle suggestions that Claudia's position is not as do-gooder as the show would have us believe - Adam mentioned this to young Jonas in 1921.
Claudia seems to be driven almost solely by wanting to counter Adam's plans. That doesn't prove she's the good guy in this conflict though. She's adamant and not much is known about her plans. Whatever Adam's true intentions are, it seems reasonable that Claudia is aware of them and wants the opposite. But even that isn't fully clear - maybe Claudia doesn't know Adam's true intentions and they may want the same thing but not realize it (I don't think so, personally, but it's not been disproven yet by the show).
Adam wants to destroy the knot. He figures that the only way to do it is by killing the pregnant Martha using the energies of both worlds. However, for this, Adam needs everything to proceed in an untouched manner so that he can kill Martha at the right time, once she has conceived. But when he does kill Martha, nothing happens to the knot because an alternate pregnant Martha is alive and well thanks to Quantum Entanglement.
Claudia wants to end the knot too. But given the cancerous bootstrapped nature of both worlds, she figures there must be a third normal world which gave birth to the two knotted worlds. She knows she cannot convince Adam because he believes his plan is gold. So she waits for him to fail. Once he does, and is now prepared to listen, Claudia tells him that he needs to send Jonas to get Martha and go to the Origin World to destroy it. Adam agrees.
Adam's World actually has two Claudias and that is discussed here - How did Claudia come back from the dead?