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#### paulmdrdo

##### Active member

- May 13, 2013

- 386

- Thread starter paulmdrdo
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- Thread starter
- #1

- May 13, 2013

- 386

- Aug 30, 2012

- 1,159

Given a, b, and c

Symmetry: a = b implies b = a

Transitive: (a = b and b = c) implies a = c

Is that what you were looking for?

-Dan

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- #3

- May 13, 2013

- 386

no. that's the generalize form. i want an example where you can apply the properties.

- Aug 30, 2012

- 1,159

Are you thinking of something along the lines ofno. that's the generalize form. i want an example where you can apply the properties.

R = {(0, 0), (0, 1), (1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)}

and then determining if R is symmetric and/or transitive?

-Dan

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- #5

- May 13, 2013

- 386

yes!

- Jan 29, 2012

- 1,151

How about "A is equivalent to B if and only if A and B are people and A has the same parents as B".

If A is equivalent to B then A has the same parents as B so that B has the same parents as A: B is equivalent to A.

If A is equivalent to B and B is equivalent to C, then A has the same parents as B and B has the same parents as A. It follows that A has the same parents as C: A is equivalent to C.

- Jan 30, 2012

- 2,513

can you give an example of symmetric property of equality and transitive property of equality.

Are you thinking of something along the lines of

R = {(0, 0), (0, 1), (1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)}

and then determining if R is symmetric and/or transitive?

Hmm. OP, you seem to ask not for an example of ayes!