Recent content by Bob4040

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    Undergrad Are the members of (x,y) if and only if (y = x + 3) & (y = x – 3) an empty set?

    I do not mean all real numbers. R is the set. x and y are members of the set on the condition that (y = x + 3) & (y = x – 3). These two lines never intersect, so I think that means it is an empty set?
  2. B

    Undergrad Are the members of (x,y) if and only if (y = x + 3) & (y = x – 3) an empty set?

    Is the set of all integers where <x,y> \in R if and only if (y = x + 3) & (y = x – 3) an empty set?
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    Basic Set Theory: Determining Relations: Reflexive, Symmetric, Transitive

    I am taking a philosophy course that covers basic set theory as part of the introduction. I’m not sure in which section of the forum set theory should be, but I think this is the right place. Homework Statement For each of the following relations, indicate whether it is Reflexive...