MHB Is 'Find x' Really About Calculating the Value of x?

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The discussion centers around the phrase "find x" in mathematics and its interpretation. The main argument is that "find x" should be understood as "calculate the value of x," rather than a literal search for an object. The poster emphasizes the importance of precision in mathematical language, contrasting it with the ambiguity often present in problem statements. They reference a personal experience with a strict math teacher who valued clarity and precision, deducting points for ambiguous answers. The humor in the original avatar stems from a deliberate misinterpretation of "find," likening it to a treasure hunt. The poster suggests that clearer phrasing, such as "determine the value of x," would better convey the intended meaning, especially for non-native English speakers. Overall, the discussion highlights the need for precise language in mathematics to avoid confusion.
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I was just wondering... my avatar is intended as a joke, but...

As I see it, mathematics is about being nitpicky.
That is, considering carefully what a question is, and answering exactly what was asked, not something unrelated, and not a long story that doesn't even contain the answer.
So if someone asks for which values of $x$ the equation $x^2=4$ is satisfied (within the context of the real numbers), I expect the answer $x=2$ and $x=-2$.
I don't expect a dissertation on algebra in general, nor do I expect that it's also possible that $y$ might be $3$.

If someone asks me to "find an apple", I might search for one, and point out where one is, which would be a geographic location.

From Dictionary.com:

[fahynd]
verb (used with object), found, finding.
  1. to come upon by chance; meet with:
    He found a nickel in the street.
  2. to locate, attain, or obtain by search or effort:
    to find an apartment; to find happiness.
  3. to locate or recover (something lost or misplaced):
    I can't find my blue socks.
  4. to discover or perceive after consideration:
    to find something to be true.
  5. ...


Am I missing something?
Can "Find x" actually mean "Calculate the value of x"?

Or otherwise, how is it that in mathematics there are so many problems statements saying something like "Find x", when that is never what is intended?
It seems to me that "Find x" should be more related to treasure hunting, where the treasure is marked with an "x".
 
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Meaning #4 is the pertinent one, here.
 
Deveno said:
Meaning #4 is the pertinent one, here.

I'm guessing, since I'm not natively English speaking, that "find x" is a proper way to put the question.

Shouldn't it still be "find the value of x" then, or something like that?

In my own language, we use something that translates to "what is x" or "determine x".
 
The intended meaning is: "discover which number $x$ is" (that is, assign it a value from the real numbers, or rational numbers, etc.).

The "joke" lies in conflating this with meaning #2: to locate.

This form of humor is called "deliberate misinterpretation", as in the following:

A programmer's wife asked her husband to go to the grocer's, "Get a loaf of bread. Oh, and if they have eggs, get a dozen".

He returned with 12 loaves of bread.
 
My old math teacher had this rule he set himself.
Whenever his problem statement would be ambiguous, and people answered differently than intended, he would treat it as a correct answer.
This was sometimes abused, but he was very meticulous and kept himself objective.
He probably considered it his own fault for not being meticulously precise, which is what he was trying to instill on everyone.
And how could he do that, if he didn't set the example himself.

The other side was that if students were sloppy and/or wrote ambiguous answers, he would meticulously deduct 0.1 points - each and every time.
This doesn't sound like much, but if it happens about 50 times, it will guarantee an insufficient grade.
That happened to me when I first entered his class, which hit me hard at time, proud as I was of my math skills.
In retrospect, I've learned a lot from him, and after a while (it took about a year) my grades soared up higher than they were before.

I imagine that if he had phrased "find x" in one of his problem statements, and someone would answer with something like my avatar, he would smile grimly, and treat it as a correct answer.
Of course in any subsequent examinations there would never be a "find x" any more.
 
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