I'm studying Principles of Mathematical Analysis written by Rudin.
I encountered the word "outset" while I was studying Lebesgue integration.
The word "outset" appears in page317 of PMA.
I can only find the general meaning of outset in the internet, which is "the beginning" according to cambridge dictionary.
I guess there is a formal definition in math regarding the word "outset".
Is there anyone who knows the meaning of "outset" in this context?
"In most cases we therefore do not lose any generality if we assume the given functions to be finite-valued from the outset."