Regarding Problem 4 (and Problem 5) on the Final Exam:
(See Final Exam, Problem 4).

• There is a difference between
       the set of all people who have a biological mother
  and
       a set of people, each of whom has a biological mother.
  (The first set is the set of all people (possibly excluding Adam and Eve).
  The second set is any set of people, including the empty set.)
  
  This is the difference between Problem 4b and Problem 4c on the Final Exam.
  
  
  
• Given a woman, say Kay, there is a difference between
       the set of all people whose biological mother is Kay
  and
       a set of people, each of whom has Kay as a biological mother.
  (The first set is the set of all children of Kay.
  The second set is any set of maternal siblings who have Kay as their mother.)
  
  This is the difference between Problem 4a and Problem 4e on the Final Exam.
  
  
  
• There is a difference between
       a set of people who have a common biological mother
  and
       a set of people, each of whom has a given woman, Kay, as a biological mother.
  (The first set is any set of maternal siblings.
  The second set is any set of maternal siblings who have Kay as their common mother.)
  
  This is the difference between Problem 4d and Problem 4e on the Final Exam.

Last modified May 20, 2008 5:21 PM

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