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Perhaps unfortunately, math and computer science have redefined "imply" and the "=>" implication operator to mean "certainly follows", which does means "prove".

The OP is probably using those fields terminology, rather than casual commonplace meaning of imply, which is as you were arguing, merely "suggests".

Also, "beyond (a reasonable) doubt" is a legal standard, not a scientific one. Science almost always maintain some doubt :)


Yes, exactly how I was using it, because it is a widely used phrase in discussing statistics, and especially when teaching statistics. https://en.wikipedia.org/wiki/Correlation_does_not_imply_cau...

It is also of particular importance when discussing time series statistics because spurious correlations are extremely common.


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