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Luke_A_Somers comments on What false beliefs have you held and why were you wrong? - Less Wrong Discussion
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I once spent about 20 minutes in class trying to justify the claim that a cubic meter of water weighs one ton, not 100 kilograms.
As you may note, this is not a false belief; it's relevant because I spent a significant fraction of this time wracking my brain trying to jog it free to see if I was being dense (pun intended) like you're describing (I have pretty strong reasons to believe I didn't remember this incident backwards as a case of self-justification by retcon)
You just made me sufficiently confused to quickly google the volume of a cubic meter and the weight of a litre of water. I suspect this is a good habit to reinforce but I can't help feeling silly.