Recent comments in /f/Showerthoughts

BreakfastBeerz t1_j2bvydt wrote

Where did you get this nonsense? Animals peeing on things does not allow them to communicate. It allows them to mark territory. When they pee on a bush, they are leaving the scent of their urine (which is pungent) to let any other animals know that they are there, this is their area, go away. They are not saying, "Up Clarence, meet me at 7".

We haven't lost that ability, we just don't use it because we have other ways to mark territory. But if you were walking in the woods and came along a seemingly abandoned cabin and walked in and smelled urine, you would immediately know that that cabin was already being lived in.

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M8dude t1_j2bv9x8 wrote

yeah, there's plenty logic in your argument, there are many different so-called 'measures' to quantify sets of numbers, example the 'distance measure' (i think) of an interval [a, b] is just denoted by b - a.

This is makes the sets have different measure (and more useful ones than just "infinite"), even though they have the same number of numbers.

the measure we would have used before is called the 'counting measure', telling us we'd have to count to infinity for both sets, but that doesn't mean they have the same number of elements (see cantor's second diagonal argument, or yours with the 15), so it has to be shown using a so-called 'bijective function' (our correspondence function), which thank god is pretty easy to construct for any two intervals.

But anyway, good thinking and yep you are right about the example set including [1, 3] and 15, for the counting measure.

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