this post was submitted on 27 Jun 2024
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.333... is rational.
at least we finally found your problem: you don't know what rational and irrational mean. the clue is in the name.
TBH the name is a bit misleading. Same for "real" numbers. And oh so much more so for "normal numbers".
not really. i get it because we use rational to mean logical, but that's not what it means here. yeah, real and normal are stupid names but rational numbers are numbers that can be represented as a ratio of two numbers. i think it's pretty good.
I know all of that, but it's still misleading. It's not a dumb name by any means, but it still causes confusion often (as evidenced by many comments here)
fair enough, but i think the confusion for that commenter comes from a misunderstanding of the definition of the mathematical concept rather than the meaning of the English word. they just think irrational numbers are those that have infinite decimal digits, which is not the definition.