Actual Infinity in Reality?

[RoadRunner79]

OK, then what do *you* call it when something doesn't correspond in quantity to a counting number?

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So are you saying that counting numbers have an end?   Or that only non-counting numbers do not end?  It seems to me, that you are attempting to make a distinction without a difference.

Also just to clarify,  would you agree that these locations, do not necessarily correspond to anything physical on the line, or involved in the motion.  They serve a purpose, for an academic model but are not an actual infinite number of things?

1.) The counting numbers do not 'end' if ordered in the usual way. But, for example, the *negative* counting numbers *do* have an 'end' when ordered int he usual way. The question of 'having an end' depends on the *order*, not on the quantity.

2.) No, those locations correspond to points on the physical line. And yes, they are an *actual* infinity of points.

1.)  Ok... if all positive integers end in one direction, and all negative integers end in one direction.  Would you agree, that they are infinite in at least one direction.  This would be a definition of  a ray.   Now are you telling me, that when definitions say that the ray proceeds infinitely in one direction, that this is telling me something about the order, not that the line goes on without end?

2.)  So the points correspond to locations, and the locations correspond to points.  My question is what does a point or a location or a  point like under a microscope?