Re: Epistemology 201: The Science of Science
From: Albert Wagner (albertwagner_at_cox.net)
Date: 03/24/05
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Date: Wed, 23 Mar 2005 20:34:42 -0600
stephen@nomail.com wrote:
> In sci.math Giuseppe Bilotta <bilotta78@hotpop.com> wrote:
> : Lester Zick wrote:
> :> The definition for infinity is that it is undefined.
>
> : Statement contradicted by any dictionary.
>
> My dictionary lists 7 definitions for "infinity". Seems
> like a strange thing to do for a word that is undefined. Most
> of them refer to "infinite". For "infinite" it has
> 9 definitions, none of which are "undefined". The
> closest is
> "unbounded or unlimited; perfect : God's infinite mercy"
>
> The 5th definition is:
> 5. Math. a. not finite. b. (of a set) having elements
> that can be put into one-to-one correspondence with a subset
> that is not the given set
>
> This is the 1994 "Webster's New Universal Unabridged Dictionary"
This is because the 8th definition of infinity is undefined, as
is the 10th definition of infinite.
Why would you expect to find the undefined in a book of definitions?
-- "I know that most men, including those at ease with problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives." - -- Tolstoy
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