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Topic: Paul Lutus says dumb things
Replies: 107   Last Post: Dec 11, 2001 12:30 PM

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 The Scarlet Manuka Posts: 1,306 Registered: 12/6/04
Re: Paul Lutus says dumb things
Posted: Dec 2, 2001 11:25 PM
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"Paul Lutus" <nospam@nosite.zzz> wrote in message
news://Y58O7.115929\$8q.12914143@bin2.nnrp.aus1.giganews.com...

[snip]

> If this use of "=" --
> lim x -> 0, 1/x = infinity
> -- actually means "approaches infinity" and does not mean "equals

infinity"
>
> then this use of "=" --
>
> lim x -> infinity, 1/x = 0
> -- should have the same meaning: "approaches," not "equals."

But this is not the case, whether you think it should be or not.

In the second example, the LHS evaluates to a real number. The
statement is asserting the equality of two real numbers.

In the first example, the LHS does not evaluate to any real number.
The statement expresses the formal statement written out upthread.

> It is
> disingenuous to assert a special status to the first statement that

doesn't
> apply to the second.

Why? They are different cases. In one the limit is defined, in
the other it is not; why should they be the same?

> To assert otherwise is to say that mathematical operations and symbols
mean
> whatever we want them to mean, varying from context to context (even
> identical ones), without regard for commonly accepted meanings

But the commonly accepted meaning *is* that a limit expression
that evaluates to a real number is equal to that number (and hence
*is* that number). In other words, the second statement reduces
to 0 = 0, with the = sign being equality of the usual type.

> and the
> desirability of unambiguous symbol usage.

There is also the desirability of appropriate generalisation.
A symbol may be well used for sveral things if there is a
commonality between them.

--
The Scarlet Manuka

Date Subject Author
11/30/01 Lou Tuss
11/30/01 Gregory L. Hansen
11/30/01 Chan-Ho Suh
11/30/01 Jake
11/30/01 Paul Lutus
11/30/01 Mike Oliver
11/30/01 Old Man
11/30/01 Paul Lutus
11/30/01 Russell Blackadar
11/30/01 Russell Blackadar
11/30/01 Mike Oliver
11/30/01 David W. Cantrell
12/1/01 Wade Ramey
12/1/01 Paul Lutus
12/1/01 meron@cars3.uchicago.edu
12/1/01 Jim Bob
12/1/01 Paul Lutus
12/1/01 Jim Bob
12/1/01 Angus Rodgers
12/1/01 Mike Oliver
12/2/01 Angus Rodgers
12/1/01 meron@cars3.uchicago.edu
12/2/01 The Scarlet Manuka
12/4/01 Randy Poe
12/4/01 meron@cars3.uchicago.edu
12/1/01 Chan-Ho Suh
12/1/01 James Hunter
12/1/01 David W. Cantrell
12/2/01 Paul Lutus
12/2/01 David W. Cantrell
12/2/01 Paul Lutus
12/2/01 Angus Rodgers
12/2/01 Paul Lutus
12/2/01 Paul Lutus
12/2/01 Wade Ramey
12/2/01 Paul Lutus
12/3/01 Angus Rodgers
12/3/01 Paul Lutus
12/3/01 Angus Rodgers
12/3/01 Paul Lutus
12/3/01 meron@cars3.uchicago.edu
12/3/01 Chan-Ho Suh
12/3/01 Richard Herring
12/2/01 meron@cars3.uchicago.edu
12/3/01 Angus Rodgers
12/3/01 meron@cars3.uchicago.edu
12/3/01 Chan-Ho Suh
12/2/01 Paul Lutus
12/2/01 meron@cars3.uchicago.edu
12/2/01 David W. Cantrell
12/2/01 Paul Lutus
12/3/01 jmfbahciv@aol.com
12/2/01 Adam Ringler
12/2/01 The Scarlet Manuka
12/4/01 Randy Poe
12/2/01 Adam Ringler
12/2/01 Paul Lutus
12/2/01 Adam Ringler
12/2/01 Paul Lutus
12/2/01 Adam Ringler
12/2/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 Angus Rodgers
12/3/01 David W. Cantrell
12/3/01 Angus Rodgers
12/3/01 David W. Cantrell
12/3/01 Mike Oliver
12/3/01 The Scarlet Manuka
12/4/01 Angus Rodgers
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/4/01 Paul Lutus
12/4/01 mareg@primrose.csv.warwick.ac.uk
12/4/01 The Scarlet Manuka
12/4/01 franz heymann
12/4/01 meron@cars3.uchicago.edu
12/7/01 Dustin Aleksiuk
12/7/01 David W. Cantrell
12/3/01 The Scarlet Manuka
12/3/01 David W. Cantrell
12/4/01 jmfbahciv@aol.com
12/3/01 Simon Nickerson
12/3/01 Wade Ramey
12/3/01 Jesse F. Hughes
12/3/01 Paul Lutus
12/3/01 Mike Oliver
12/3/01 Charles Dillingham
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 meron@cars3.uchicago.edu
12/2/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 Matt Gutting
12/3/01 The Scarlet Manuka
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/11/01

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