We delve deeper. Father Al sites Xeno's arrow that never strikes. TD says Euclid's intersection at infinity?

Question

http://answers.yahoo.com/question/index;_ylt=AhK61DDjZSyr44hVgECyRJDsy6IX?qid=20070715062054AALxJYK

Does the arrow not draw blood? Is there no terminal at the infinite destination?

Answer 1

Ouch!

Long, long afterward, in an oak
I found the arrow, still unbroke;
And the song, from beginning to end,
I found again in the heart of a friend.

Henry Wadsworth Longfellow.

Answer 2

Xeno's paradox (about always having half way to go) is a mind game with no real application in reality. For, as we know, an arrow released from the bow WILL strike the target, making the paradox meaningless.
Unbounded infinity has no limits; no beginning, no end. Nothing for a point of reference. It, quite literally, goes on forever. A difficult concept for some to grasp.

Answer 3

Jan is right.
And just one other point.
Some of you here are too delving deeper and deeper ;
To delve deeper and deeper doesnt mean that they
understand!
To someone like me who has not gone through the sort of
education which the question implies (and relies on),the
info that is used to delve deeper and deeper sounds trite,
trivial and childish.
It reminds me of the similar and infamous language games
played by the likes of Wittgenstein and his "disciples"(or
another of his blinded and trusted students.
So i say this; leave these puzzles to other historians;i mean
the ones who should only know this because they want to
become historians in their turn- they want success and
admiration for its own sake and not knowledge.

Answer 4

Xeno's Paradox has been refuted in modern mathematics, and there are several non-Euclidean geometries. Einstein used Reimannian geometry in his Theory of Relativity.You should update your thinking. It is stuck in 450 BCE or so.

Answer 5

"I shot a bloke into the eye,
He fell to Earth, I did not cry,
I sang a song and took a swig,
Upon his grave I danced a jig."

Harry Bucksworth Longwanker