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Math Help - Relations

  1. #1
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    Relations

    I came across an interesting question and am curious on how to answer it.

    What sort of relation is friendship? Is it necessarily reflexive, symmetric, anti-symmetric, or transitive? Can the friendship relation among a finite group of people induce a partial order, such as a set inclusion?
    Last edited by rhymin; April 2nd 2013 at 11:35 AM.
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  2. #2
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    Re: Relations

    What do you think?

    I read a joke recently. A man with a multiple personality disorder who found himself on an uninhabited island soon found a lot of friends.
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  3. #3
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    Re: Relations

    I really don't know...
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  4. #4
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    Re: Relations

    But do you know what a symmetric relation is? What a relation is in general?
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  5. #5
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    Re: Relations

    This chapter discusses relation as a mathematical term. For sets A, B, any subset of A x B is called a (binary) relation from A to B. Any subset of A x A is called a (binary) relation on A.

    I have no idea how to apply this to the question.
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  6. #6
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    Re: Relations

    OK, so you know what a binary relation is. Do you know which relations are called reflexive, symmetric, etc.?
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  7. #7
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    Re: Relations

    In other words, do you know the definitions of any of those words? When you are doing a math problem and see words whose definitions you do not know, look them up in your textbook!
    Thanks from Nehushtan
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