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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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fom

Posts: 1,969
Registered: 12/4/12
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 9, 2013 5:51 PM
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On 10/9/2013 12:29 AM, Arturo Magidin wrote:
>
> Which just accomplishes the student lying to him or herself with the complicity of the professor who tells him its doable.
>
> Look: I don't object not telling a beginning student the whole truth; I **do** object telling him lies.
>
>


Curious statement.

Let me ask you about an actual situation.

In the logic text I used as an undergraduate the notion of
model had been introduced with respect to a "sentence" from
a formal language.

In Chang and Keisler, models apply to languages as a whole, and,
a language is a list of uninterpreted parameters as in universal
algebra.

To be more clear concerning the first text, a "structure" is
a "model" of a sentence if the sentence is "true with respect
to a translation under the structure"

Note that this is different from "true in a model" in the
sense of Chang and Keisler.

That is, a sentence may be true in a structure or
a structure may be a model of a sentence.

In my naivete, the latter suggests that an admissibility
criterion applied to structures could influence something
like the status of an independent statement. When one
speaks of a model for a language, that notion does not
suggest itself.

Does this distinction appear legitimate to you?

If so, has the student been told a lie?




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9/28/13
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