Jules Richardson wrote:
 Brent Hilpert wrote:
  The idea of building such large systems was
 considered daunting or simply implausible even in the 1940's 
 I think the issues there revolved largely around a belief that the end result
 simply wouldn't work to the required spec, rather than it not being possible
 to do at all. 
With a (large) digital system what's the difference? It was a concern which did
have to be addressed (with techniques like margin checking, amongst others) to
get useful production/uptime out of the machines. Refer to Will's earlier
mention of probability and statistics.
And that's the 40's, a world away from 1900 or 1910.
  I think something electric is achievable, but I still
think that something
 which was largely mechanical in nature (at least for the logic) would have
 been a better bet. 
You may be right, even with relays there is the issue of the reliability of
(thousands of) contacts: plating techniques and metal alloys weren't then what
they are now.