0.999....=1

[mjk45]

Peh said:

pokoko said:

Dude.  They're all artificial.  In fact, some of the alternate systems were designed to make up for perceived short-comings in the classic system.

I think pointing that out is completely valid.

Regarding the counter-intuitive reaction a lot of people have, that's also valid and understandable.  Rather, I think those who mock that reaction in a professional setting are being too narrow minded.  The reason it's counter-intuitive is that one number is real while the other is not; claiming that those two numbers are the same does not feel reasonable.  It's only after people realize that the "1" they're dealing with inside a system of math is not a real "1" but instead of a representation of "1", thus it can be manipulated by arbitrary rule sets.  It's simply a shift of perspective that should be developed rather than expected.

Quoted for truth.

same here.