$$A = \{ |x| < 4 : x\text{ is an element of }\mathbb Z\}\quad?$$
elementary-set-theory
asked 2012-05-17
user id:43997
148
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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