Wednesday, May 14, 2008

The Impossibility of the Infinite

Despite claims by well-meaning scientists, the Universe must have had a beginning. This is not only supported by the current testable data, but also for the following logical reasons.

p1: An actually infinite number of things can not exist because an infinite number of things can not be traversed.
P2: An infinite universe would require an actually infinite number of days to have been traversed to arrive at today. Thus, today would never arrive.
p3: However, since today has arrived, an infinite number of days has not been traversed.

Therefore, an infinite universe can not exist.

Theoretically, the concept of infinity is interesting, but to actualize the concept in the real world leads to absurd results. Consider the absurdity of an infinite number of actual books. Where would a new book be added? Where would a new book be removed? Remember, there's no beginning or end. Yet, in both cases, removing or adding a book would not change the quantity - the number of books would remain infinite.

For a more thorough treatment of this argument, see Dr. William Lane Craig's article that describes the absurdity of an actual number of things using David Hilbert's paradox of the Grand Hotel.

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