Jesus as Lord - why is this appealing to so many?

[polymath257]

Zeno's paradox is a classical example of the points between two boundary limits.  The notion that you can always divide the distance between points in half, declaring a new halfway point...and will never run out of space to make such divisions (though they may become exceedingly small).  The quip, ofc, is that Achilles can never catch up to the tortoise, and so concedes the race.

Using a small number, it's easy to see how that works.  Between 0 and 1 is .5.  0 and .5 .25.  0 and .25 .125.  0 and .125 .0625.   .03125, .015625,  .0078125.  On and on, ad infinitum.  Hilariously, if you add up all of these infinite and tiny distances you will only get back to a sum total of 1.  Coincidentally, 1 meter is all the tortoise needed to swindle Achilles.  Talked him right out of his racing boots.

And, just to point out the solution to Zeno's paradox: there are also an infinite number of subdivisions of time, so you can go through an infinite number of spatial points in a similarly infinite number of temporal points.

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I'll try to comment on the other stuff later.   However I've had the discussion concerning a infinite number of points on a finite line before here (and haven't gotten very good answers). 

How are you defining a point, and on what basis do you state that there are an infinite number of them on a 1 inch line?

Mathematically, the points on a line correspond to decimal numbers between 0 and 1 (the two ends of the one inch long line segment. There is an infinite number of such decimals.

More specifically, if you have a finite collection of points on that line segment, find two next to each other and you can find a point half way between them. That shows the finite list was not complete.

In other words, the collection of points is infinite.

Now, even more is true: there are different sizes of infinite set mathematically. The infinite set of counting numbers {1,2,3,4,5,...} turns out to have the smallest infinite 'size' (technically, cardinality). It turns out that the collection of ALL integers (positive and negative) has that same 'size' because there is a way to pair off al positive counting numbers and all integers.

1<->0
2<->1
3<->-1
4<->2
5<->-2
6<->3
7<->-3
.
.
.

It turns out that the collection of all decimal numbers between 0 and 1 is a *larger* infinity than the infinity for counting numbers.