But it's logic shows that theism is a rational choice: and the formulation of the Wager was groundbreaking because it charted new territory in probability theory, marked the first formal use of decision theory, and anticipated future philosophies such as existentialism, pragmatism, and voluntarism.
I beg to differ. Pascal's Wager isn't remotely "logical". It begins with the most common logical fallacy of all - begging the question. It assumes certain characteristics about this god - namely that he'll punish non-believers & reward believers. This is not an established fact & is therefore a flawed premise. No logical argument can be launched from a flawed premise.
It's for this reason that Pascal's Wager only makes sense to people who already believe in God, and absolutely none to people who don't.
It also only works if you make the assumption that believing costs nothing and that not believing provides no benefit. This is not true. So, again, a deeply flawed premise.
It sets up a false dichotomy in suggesting that there are only two options - Christianity (or Islam, Hinduism, whoever is making the argument) or atheism and, as I've already pointed out, this is not the case AT ALL. It's atheism vs thousands upon thousands of Gods.
Whatever PW is - logic it ain't.