(adsbygoogle = window.adsbygoogle || []).push({}); confusion on "anti-symmetric" and "symmetric"

Hi guys,

I am a physics sophomore at next term, recently I am doing a reading on Naive Set Theory on my own. However, I got a few confusion.

The books said that if A is a subset of B and B is a subset of A, then A=B, but this set inclusion is anti-symmetric,

on the other hand, based on the axiom of extension. Two sets are equal iff they have the same elements, then. if A=B, then it is symmetric.

My question is:

a.) What meant by being symmetric & anti-symmetric

b.) what is the difference between the two approaches to "A=B"?

Thank you so much for reading :D

have a good day.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Confusion on anti-symmetric and symmetric

**Physics Forums | Science Articles, Homework Help, Discussion**