Rigorously, yes. Unambiguously, no. Plenty of words (like continuity) can mean different things in different contexts. The important thing isn’t the word, it’s that the world has a clear definition within the context of a proof. Obviously you want to be able to communicate ideas clearly and so a convention of symbols and terms have been established over time, but conventions can change over time too.
Comment on Zero to hero
Diplomjodler3@lemmy.world 7 months ago
Wait, I thought everything in math is rigorously and unambiguously defined?
RandomWalker@lemmy.world 7 months ago
HexesofVexes@lemmy.world 7 months ago
Platonism Vs Intuitionism would like a word.
lorty@lemmygrad.ml 7 months ago
Yes, and like any science it gets revisited and contested periodically.
NegativeInf@lemmy.world 7 months ago
There’s a hole at the bottom of math.
gregorum@lemm.ee 7 months ago
Is a frog on the log on the hole on the bottom of math. There’s a frog on the log on the hole on the bottom of math. A frog. A frog. There’s a frog on the log on the hole on the bottom of math.