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Is this set definition valid:

$$A = \{ |x| < 4 : x\text{ is an element of }\mathbb Z\}\quad?$$

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    Are you sure you don't mean $A=\{-3,-2,-1,0,1,2,3\}$?2012-05-17
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    But the definition is in inverse order, I mean all the objects of the form |x| < 4.2012-05-17
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    To show part of the problem with your definition, one relatively legitimate way of reading it would have it define the set {**true**, **false**}, since the 'evaluation' to the left of the colon could be said to return the result **true** for certain elements of $\mathbb{Z}$ (e.g., $x=-1$) and **false** for other elements of $\mathbb{Z}$ (e.g., $x=8$).2012-05-17

3 Answers 3