I pose the question of the title, and then I'll have to wait for your responses until Saturday as I'm outta town tomorrow. First, to define terms:
Theism: a belief that there is at least one deity.
Agnosticism: not knowing if there's a deity or deities.
Atheism: a belief there are no deities.
Which is logically the weakest and why? I say it's the latter by far.
See yas Saturday, so play nice now.
If you could rephrase the choices based on the definitions rather than your own confirmation bias you may get reasonable answers although not necessarily the answers you want. Also the title question is also ambiguous, which is the weakest what. Belief or position?
Theism : belief in the existence of a god or gods, (specifically of a creator who intervenes in the universe).
Agnosticism : the belief that nothing is known or can be known of the existence or nature of God.
Atheism : disbelief or lack of belief in the existence of God or gods.
Sure theism needs a very strong belief but as a position it is very weak because the evidence it relies on is non existent or circumstantial hearsay.
Agnosticism has much stronger belief that is based on reality, as a position that reality makes it valid
Atheism : disbelief or lack of belief is not a belief so as a belief system its a total failure, but as a disbelief system, you just cant beat it. Considering there is absolutely no falsifiable evidence for the existence of gods, disbelief or lack of belief is the only valid option. As a position it is strong because it can only fail when a god pops up and says "fooled ya!".