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January 12th, 2019, 11:17 PM  #1 
Member Joined: Apr 2017 From: India Posts: 73 Thanks: 0  Classes and sets
What is the difference between a class and a set? Please give some simple examples. I have seen statements like "Let M be a class of subsets of X...", and it seems to me we can still do everything we like as though M is a set, and we are just avoiding the word "set" and replace it with "class". And what is this pardox theory? I am unable to grab the simple difference in them. Please help. 
January 12th, 2019, 11:22 PM  #2 
Senior Member Joined: Oct 2009 Posts: 863 Thanks: 328 
What subject are you doing? If you're not doing axiomatic set theory, then you can safely assume class and set to be synonymous. For example in measure theory, you'd say that a sigma algebra is a class of subsets of X, where they actually mean it's a set of subsets. If you're doing axiomatic set theory, there is a big difference though. 
January 13th, 2019, 03:33 AM  #3 
Member Joined: Apr 2017 From: India Posts: 73 Thanks: 0 
I have started the chapter on Probability and Statistics and this was the introductory part of the course. So, is it relevant to know the difference between the two or I can safely assume both to be same.

January 13th, 2019, 05:11 AM  #4 
Senior Member Joined: Oct 2009 Posts: 863 Thanks: 328  

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