Number Systems

mathgeek17

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Oct 12, 2013
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Question ?

Please solve the following:

Let E be a Set and S the statement: "A relation on E which is symmetric and transitive must be reflective"

a) Find the fallacy in the following "proof" of S : Let a be in E. Choosing b with a ~ b, we have b ~ a. By symmetry, and so by transitivity a ~a

b) show that S is false
Hint: e = natural set , n ~ k if n times k is odd
 
Last edited:
Please solve the following:

Let E be a Set and S the statement: "A relation on E which is symmetric and transitive must be reflective"

a) Find the fallacy in the following "proof" of S : Let a be in E. Choosing b with a ~ b, we have b ~ a. By symmetry, and so by transitivity a ~a

b) show that S is false
Hint: e = natural set , n ~ k if n times k is odd
mathgeek17, please show some work so we know where you are stuck and refer to these rules for posting: http://www.freemathhelp.com/forum/threads/41539-Read-Before-Posting!!
 
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