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ultima said:

Yes, I've done a lot of discrete mathematics. My explanation was with respect to the link you provided: intervals of real numbers. I'm sure you know that the real numbers are in no way discrete.

As for the discrete case, it still does not apply. When you calculate the number of meters inside a swimming pool along its length, you start at one end, and you start at zero. You do not start some voodoo magic by starting at one before you unrolled your measuring tape. Once again, answer me, how many generations are there from father to son?

Also, I did not ask explicitly, but I kind of insinuated that I wanted to know the passages over which you were arguing. It'd be nice if you could provide them.

From one math major to another, you should be ashamed about the poor quality of your analogies.  Generations are measured in discrete units which makes your comparisons to time and length specious.  This dispute has nothing to do with Lebesgue measure.  You are assuming that "generation" necessarily means a displacement, when in English the term is more commonly used to refer to a group of people (e.g. "this company was run by three generations of Smiths").  There's no need to drag math into a discussion that is merely about semantics of prepositions.