You are Here: Home >< Maths

# Quick 'relation' question watch

1. Hey everyone.

I'm starting this area of maths and I don't understand why the relation, , is a linear/total order.

How does this relation satisfy irreflexivity and trichotomy?

Thanks.
2. I don't think it is a total order... what set are you working on? I mean, and but , so it's not transitive. I'll probably find out that I've misunderstood your question.
3. (Original post by nuodai)
I don't think it is a total order... what set are you working on? I mean, and but , so it's not transitive. I'll probably find out that I've misunderstood your question.
Well it's dealing with ordinals I believe. It's a side-note in my notes; if x is an ordinal, then so is S(x).
I'm not entirely sure what S(x) means, but I have written that .

I tried proving transitivity with: If

Thanks for the help, I'll rep afterwards.
Well it's dealing with ordinals I believe. It's a side-note in my notes; if x is an ordinal, then so is S(x).
I'm not entirely sure what S(x) means, but I have written that .

I tried proving transitivity with: If
Ah alright, this is out of my realm of knowledge I'm afraid (until early December-ish when I get round to studying ordinals, but you'll probably want an answer before then).
5. (Original post by nuodai)
Ah alright, this is out of my realm of knowledge I'm afraid (until early December-ish when I get round to studying ordinals, but you'll probably want an answer before then).
Ah well thanks for the intention to help anyway!

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 11, 2011
The home of Results and Clearing

### 2,790

people online now

### 1,567,000

students helped last year
Today on TSR

### Took GCSEs this summer?

Fill in our short survey for Amazon vouchers!

### University open days

1. Bournemouth University
Wed, 22 Aug '18
2. University of Buckingham
Thu, 23 Aug '18
3. University of Glasgow
Tue, 28 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams