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No, the "infinitely adjustable" comment refers to the Milanese Loop:

http://www.apple.com/watch/apple-watch/

It is, by definition, infinitely adjustable, since the band is sized continuously and attached magnetically (so that any part of the band works as a sizing point). It does not have discrete holes, like most watch bands.

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I believe your parent was referring to the Plank Length when he said the physical world.

http://en.wikipedia.org/wiki/Planck_length

Of course, that's being super pedantic, because 10^31 is practically infinite, or at least more than you'll have time to try in your lifetime.

10^31 different positions is no closer to infinitely many than 5 different positions.

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