On the usage of “etcetera”
Is the abbreviation etc. or "and so on" acceptable in scientific writing papers?
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This is strictly a style manual question. Some (very few) journals refuse to allow any abbreviations except for units of measure, e.g., "50 ml/kg"; others refuse to allow nonstandard abbreviations; still others have nothing to say about abbreviations except "spell them out the first time you use them and then consistently use them throughout the paper". Some journals allow "e.g.", others require "eg", and some specifically prohibit "e.g." (i.e., they say "Don't put these Latinate abbreviations in Italics". You have to look at the house style of the scientific journal you're asking to publish your paper, or else look at the style manual they require you to follow.
"And so on" isn't an abbreviation but a shorthand way of saying "and other items just like the few that preceded these words". Most scientific publishers will allow etc., e.g., i.e., viz., cf., ca., and so on, when they are appropriate. Don't overuse them, especially i.e.