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liahow

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Difference between Circularity and Transitivity?

What's the difference between the two properties?  They look identical to me.  
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d-glitch
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According to this:   http://stats.oecd.org/glossary/detail.asp?ID=5519       They are the same.
If my dog had circularity he'd be sniffing his own tail, if he had transitivity he'd be sniffing some other dogs tail.
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grg99

transitivity sounds more one-way and possibly branching:

trans:  a is to b       b is to c    c is to d    d is to e      d is to f      d is to g            therefore  b is to f

circularity  sounds, well circular   :  a is to b    b is to c    c is to d         therefore d is to a

Hi, grg99 is correct..

I will again consider simpler version of his example..

If a -> b and b -> c, then

A) Circularity: c -> a
B) Transitivity: a -> c

So, the only difference is that the direction of carrying out the operation is interchanged.

Now, consider the example..

If  10 < 20, 20 < 30

Then
A) Circularity: 30 < 10.. which is certainly not true.. and hence, circularity fails
B) Transitivity: 10 < 30.. which is true and hence, transitivity holds

---
Harish
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neopolitan

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