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Reconstruct the Following as a Standard-Form Syllogism,and Determine Whether It

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Reconstruct the following as a standard-form syllogism,and determine whether it is valid.
Being a mathematical prodigy is not enough to guarantee success at solving problems like Fermat's Last Theorem,because several mathematical prodigies tried their hands at that very problem,and nobody could solve it until just a few years ago.
F.
No F are S.
Therefore,some P are not S.
Valid.


Definitions:

Faculty Level Costs

The expenses associated with employing teaching and academic staff at educational institutions.

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The total amount of costs that do not vary with production volume, such as rent, salaries, and insurance.

Level of Risk

A measure of the uncertainty associated with an investment or decision, often evaluated in terms of the variability of returns or potential for loss.

Break-Even Point

The point at which total costs and total revenue are equal, meaning no net loss or gain, and the business is just covering all its expenses.

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