Isn't the abacus a mechanical computer?

even then the degree to which charles babbage was responsible for his machines is somewhat contested.

even then charles babbage was inventing in an environment that was already highly geared to explore logic as a discipline with many people actively pursuing the same or similar objects of fascination. there are experiments in computation and entire computers far preceding babbage, going so far back as the earliest annals of recorded history.

a lot of people also don’t understand that babbage’s initial inventions weren’t even autonomous or mechanical/electrical. they weren’t computers in the colloquial, modern sense. at first they were basically just arrays of literal physical drawers, that the user had to physically move objects between, that could represent something akin to modern memory. this was rudimentary even at the time - the classical greeks famously were astute mechanist and the best of the wondermakers could make much more than just cranes: think autonomous robots, analog computational orreries, literal fucking lasers powered by the sun. by babbage’s time europeans were intimately familiar with engineering and computational principles far beyond what the average contemporary person realizes. the actual innovation is the conceptual handling of it. without that, babbage just made a fancy shelf.

either way babbage isn’t even remembered very fondly by the field. lovelace was far more influential and had far more intuition and genius to her work.