Andrea C.

asked • 07/31/17

Well-defined

is A={+,-,*,/,!},then n(a)=5
is this well-defined

Arturo O.

What is your question?  You gave a set A that appears to be a collection of mathematical operations, and you stated n(a) = 5, with no rule given to relate n(x) to the contents of A.  I would say the question is not well defined, and as currently stated, cannot be answered well.   
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07/31/17

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Shannon D. answered • 07/31/17

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Yes, because all objects are contained in the set. It is easy to determine what is and is not included in the set. I know "!" is in the set and "?" is not. A counter example would be a set that asks a question with an ambiguous answer, such as "a set containing all good presidents" because 'good' is not defined, so it is difficult to determine what presidents are or are not in the set. 
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