Re: The rational number 5 and the real number 5


David

Well, I still don't understand how computing the floor of a rational
is different from computing the floor of a rational real in the way
you claim. It's not the main point of the thread though, I guess.

No, but its the part that caught my eye as well.

I can't see any difference in the floor function, which essentially maps Q or R onto N.

I can see a difference with a function I might call rat(x), which maps x onto the lowest rational less than or equal to x; this defined over Q but not over R. (It maps Q -> Q but not R -> Q). That seems a different thing though.


.

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