Hello again everyone! I have 3 discussion questions I need to answer. I'm answering one of them right now. It's about friendship as being reflexive, symmetric, and transitive (as in functions and relations)
What sort of relation is friendship, using the human or sociological meaning of the word? Is it necessarily reflexive, symmetric, antisymmetric, or transitive? Explain why or why not.
Can the friendship relation among a finite group of people induce a partial order, such as a set inclusion? Explain why or why not.
My partial answer:
Friendship is a relationship and understanding of two or more persons who have known each other for quite some time; the state of being friends.
Friendship can be transitive. Depends on the situation really such as if John is friends with Anna, and Anna is friends with Bob, therefor John is friends with Bob. If you put it that way, there is a possibility that it can be transitive, if John really knows Bob (but in real life is possible that John does not know Bob yet so they might not be friends "yet").
Friendship is can be symmetric such as John is friends with Anna, therefor Anna is friends with John. Another example is that, Bob is a cousin of Claire, so that means Claire is also a cousin of Bob.
I don't have an example for reflexive though... Anyone who has thoughts? I'd appreciate the help! Thanks!
This forum has replaced my teacher! hehe!