First, correlation is symmetric between effects and their causes, while causation is not. You may as well replace the phrase "correlation implies causation" wi

First, correlation is symmetric between effects and their causes, while causation is not. You may as well replace the phrase "correlation implies causation" with "correlation implies effectation". For a careful treatment on correlation and causation, you should read Judea Pearl, one of the great living computer scientists. I highly recommend this casual read: https://www.nyu.edu/classes/shrout/SEM06/pearl.pdf https://www.nyu.edu/classes/shrout/SEM06/pearl.pdf