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Topic: Is (t^2-9)/(t-3) defined at t=3?
Replies: 166   Last Post: Oct 30, 2013 9:41 AM

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quasi

Posts: 10,307
Registered: 7/15/05
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Sep 29, 2013 10:28 PM
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Hetware wrote:
>quasi wrote:
>> Hetware wrote:
>>>
>>> What I am saying is that if I encountered an expression such
>>> as (t^2-9)/(t-3) in the course of solving a problem in
>>> applied math, I would not hesitate to treat it as t+3 and not
>>> haggle over the case where t = 3.

>>
>> And you would be wrong unless either
>>
>> (1) You know by the context of the application that the value
>> t = 3 is impossible.
>>
>> (2) You know by the context that the underlying function must
>> be continuous, thus providing justification for canceling the
>> common factor of t-3, effectively removing the discontinuity.
>>
>> I challenged you to find a book -- _any_ book, which agrees
>> with your naive preconception.
>>
>> Math book, applied math book, physics book, chemistry book,
>> economics book -- whatever.
>>
>> If all the books and all the teachers say you're wrong,
>> don't you think that maybe it's time to admit that you
>> had a flawed conception about this issue and move on?

>
>I don't answer to the authority of mortals. I answer to the
>dictates of reason.


That declaration doesn't bode well for success if your goal is
to gain a high level understanding of Calculus.

It also makes clear that you have little respect for the wisdom
and intellect of the tens of thousands of mathematicians, past
and present, who have also reasoned about this issue, and are
essentially unanimous in their agreement as to how the issue
should be dealt with.

Have you convinced anyone else yet?

No?

So your reasoning has such a degree of certainty in your mind
that it trumps reasoning by all others?

Said differently, when you consider the chance that you might be
wrong versus the chance that everyone else is wrong, you have no
doubt that _you_ have it right and _they_ have it wrong?

Humble you're not.

Is it your depth of knowledge that gives you such confidence to
be so absolutely sure everyone else is wrong? But it seems you
don't yet even know Calculus. So much for depth of knowledge.

quasi


Date Subject Author
9/28/13
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Hetware
9/28/13
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Michael F. Stemper
9/28/13
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Hetware
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quasi
9/28/13
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Hetware
9/28/13
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quasi
9/28/13
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Peter Percival
9/29/13
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quasi
9/28/13
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Hetware
9/28/13
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Richard Tobin
9/28/13
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Hetware
9/28/13
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tommyrjensen@gmail.com
9/29/13
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Hetware
10/6/13
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Hetware
10/6/13
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Peter Percival
10/6/13
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Hetware
10/6/13
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quasi
10/8/13
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quasi
10/7/13
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Peter Percival
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Michael F. Stemper
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Hetware
9/29/13
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quasi
9/29/13
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Hetware
9/29/13
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magidin@math.berkeley.edu
10/6/13
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Hetware
10/6/13
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magidin@math.berkeley.edu
10/7/13
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Hetware
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LudovicoVan
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Peter Percival
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magidin@math.berkeley.edu
10/12/13
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Hetware
10/12/13
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fom
10/13/13
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magidin@math.berkeley.edu
10/13/13
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Richard Tobin
10/13/13
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Hetware
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fom
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magidin@math.berkeley.edu
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magidin@math.berkeley.edu
10/8/13
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quasi
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magidin@math.berkeley.edu
10/8/13
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quasi
10/8/13
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quasi
10/12/13
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quasi
10/13/13
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Peter Percival
10/9/13
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magidin@math.berkeley.edu
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fom
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fom
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Hetware
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fom
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Peter Percival
9/29/13
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quasi
9/30/13
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Peter Percival
9/30/13
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Peter Percival
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Virgil
9/29/13
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quasi
9/29/13
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Virgil
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quasi
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Hetware
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LudovicoVan
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quasi
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Virgil
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10/9/13
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Hetware
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Peter Percival
10/10/13
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Ciekaw
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10/10/13
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10/13/13
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10/13/13
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10/13/13
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Hetware
10/14/13
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10/13/13
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Hetware
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Hetware
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fom
10/14/13
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fom
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Hetware
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magidin@math.berkeley.edu
10/14/13
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magidin@math.berkeley.edu
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Peter Percival
10/14/13
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Hetware
10/14/13
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quasi
10/16/13
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@less@ndro
10/16/13
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quasi
10/19/13
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Hetware
10/19/13
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quasi
10/19/13
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Hetware
10/20/13
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fom
10/20/13
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quasi
10/20/13
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Hetware
10/20/13
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fom
10/20/13
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Hetware
10/20/13
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Peter Percival
10/20/13
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Richard Tobin
10/20/13
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Hetware
10/30/13
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@less@ndro
10/19/13
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Hetware
10/10/13
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Ronald Benedik
10/10/13
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Peter Percival
10/10/13
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Virgil
10/18/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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fom
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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fom
10/19/13
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magidin@math.berkeley.edu
10/19/13
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Hetware
10/19/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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quasi
10/20/13
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quasi
10/20/13
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Hetware
10/20/13
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Peter Percival
10/20/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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Arturo Magidin
10/20/13
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Hetware
10/20/13
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10/19/13
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fom

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