Analog Mechanical Computers
The cluster focuses on discussions of historical analog and mechanical computers, including examples like Babbage's Analytical Engine, the Antikythera mechanism, and their capabilities compared to modern digital computers.
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I think you may be forgetting about analog computers https://en.wikipedia.org/wiki/Analog_computer
Babbage's analytical engine comes close, and doesn't even use electricity.
This would be an interesting starting point for a mechanical computer.
Perhaps they used "analog computers"? One example: http://en.wikipedia.org/wiki/ELWAT
Are we talking about analog computers?
One of the world's first disposable [analogue] computers
Thought it was very interesting to see the precursors of modern computers and how they achieved the various mathematical functions mechanically
Its an analog computer, plain and simple! Just because its not digital, doesn't mean its not 'really computing'
mechanical computers were, at best, calculatorsuniversal computation was not a thing yet
I would highly suggest a look into the topic of analog computers for this purpose