Why are proofs written in first person plural? Were they ever written differently?
It's probably a silly question but it interests me when was the convention of writing proofs in first person plural introduced?
Are here any historical examples of a different POV for proof writing?
Solution 1:
From what I could gather from some google searches (1, 2, 3-pdf, and Krantz has a good book on writing mathematical prose) the most common reasons for using we instead of I are:
- To emphasize participation by the reader and ensure that he or she is included.
- To not sound egotistical. As in, to stress the mathematics and reduce the role of the author in particular.
- To keep the writing in active voice.
I couldn't find when a the shift in writing style occurred, but I do recall reading papers by Euler in which he uses I. Though, I cannot read Latin and these were translated.