Without doing harm/without harm, we may suppose m is a natural number?
In mathematical arguement, we oftern see the following expressions.
Without loss of generality, we may suppose m is a natural number.
Without doing harm/without harm, we may suppose m is a natural number.
I am pretty sure that "without loss of generality" is right;
but when coming to the 2nd sentence, I do not know which phrase I should choose, without doing harm or without harm? Or both of them are normally used?
Thanks a lot for your comments.
Top answer
I find both of them ( harm, doing harm ) odd in a mathematical discussion. Stick with loss of generality .
— Mister Micawber
I find both of them ( harm, doing harm ) odd in a mathematical discussion.
Stick with loss of generality .
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