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False Cause: the fallacy committed when an argument mistakenly attempt to establish a causal connection. There are two basic interrelated kinds.
Post hoc ergo propter hoc: (literally "after this, therefore because of this") the fallacy of arguing that one event was caused by another event merely because it occurred after that event.
Non causa pro causa: (literally "no cause for a cause") in general, the fallacy of making a mistake about the ascription of some cause to an effect. This is the general category of "false cause."