Only one crash and it wasn’t really the plane or pilots fault.
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The Concorde turned out to be a dangerous design like the Space Shuttle, so it should get some blame.
I’d place the majority of the blame on whoever neglected to sweep the runway, because the dangerous weaknesses of the aircraft were known and the runway was supposed to be sweeped.
The maker of the Concorde was warned some years before the crash to fix the problem that eventually caused the crash but they failed to do so.A similar incident,at that time,almost ended in disaster and was what caused the warning to be issued.