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The above example commits the correlation-implies-causation fallacy, as it prematurely concludes that sleeping with one's shoes on causes headache. A more plausible explanation is that both are caused by a third factor, in this case going to bed drunk, which thereby gives rise to a correlation. So the conclusion is false. Example 2
Here is the example the two events may coincide or correlate, but have no causal connection. [2] Fallacies of questionable cause include: Circular cause and consequence [citation needed] Correlation implies causation (cum hoc, ergo propter hoc) Third-cause fallacy; Wrong direction; Fallacy of the single cause; Post hoc ergo propter hoc ...
Cum hoc ergo propter hoc (Latin for 'with this, therefore because of this'; correlation implies causation; faulty cause/effect, coincidental correlation, correlation without causation) – a faulty assumption that, because there is a correlation between two variables, one caused the other. [57]
A logical fallacy of the questionable cause variety, it is subtly different from the fallacy cum hoc ergo propter hoc ('with this, therefore because of this'), in which two events occur simultaneously or the chronological ordering is insignificant or unknown. Post hoc is a logical fallacy in which one event seems to be the cause of a later ...
Fallacies based on correlatives include: [1] False dilemma or false correlative. Here something which is not a correlative is treated as a correlative, excluding some other possibility. Denying the correlative where an attempt is made to introduce another option into a true correlative. Suppressed correlative
The fallacy of the single cause, also known as complex cause, causal oversimplification, [1] causal reductionism, root cause fallacy, and reduction fallacy, [2] is an informal fallacy of questionable cause that occurs when it is assumed that there is a single, simple cause of an outcome when in reality it may have been caused by a number of only jointly sufficient causes.
Indeed, p implies q has the technical meaning of the material conditional: if p then q symbolized as p → q. That is "if circumstance p is true, then q follows." In this sense, it is always correct to say "Correlation does not imply causation." In casual use, the word "implies" loosely means suggests rather than requires." is almost ...
When a correlation and a causation correlate it is as much a coincidence as any correlation is to any causative effect. It cannot be reworded to the satisfaction of all without someone inventing a new term to encompass the point, probably sticking something in front of imply in such a way as to make it not emulate standard conversation.