Another way:
If determinism is true, then there is no point in arguing about it.
So:
If it is worth arguing about, then according to the laws of logic, it is false.
If it is not with arguing about, then why are you arguing about it.
Another way:
If determinism is true, then there is no point in arguing about it.
So:
If it is worth arguing about, then according to the laws of logic, it is false.
If it is not with arguing about, then why are you arguing about it.
That is obviously false. In a deterministic model, your beliefs are determined by all of the inputs you ever received. It is in fact stronger than a model of the world that includes strong free will: there, an agent can hear a perfectly valid argument that explains in all ways that the agent understands this that 1+1=2, but the agent can decide not to believe it for no reason whatsoever (since its decision would be independent from anything that they had ever heard or experienced or thought about before).
It is in fact pure free will that would make any kind of logic or reasoning useless, since, again, your decisions would not be in any way determined by your life up to the point of the decision.