course: Foundations of Higher Math

Let . Give an example of a relation on A that is reflexive and transitive, but not symmetric.

My question is, does my relation have to include all of the pairs to be reflexive?

For example, say my relation is .

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- Nov 16th 2013, 09:38 AMMadSoulzProperties of Relations
course: Foundations of Higher Math

Let . Give an example of a relation on A that is reflexive and transitive, but not symmetric.

My question is, does my relation have to include all of the pairs to be reflexive?

For example, say my relation is . - Nov 16th 2013, 09:45 AMPlatoRe: Properties of Relations
- Nov 16th 2013, 10:55 AMMadSoulzRe: Properties of Relations
- Nov 16th 2013, 11:43 AMHallsofIvyRe: Properties of Relations
- Nov 16th 2013, 12:00 PMMadSoulzRe: Properties of Relations
- Nov 16th 2013, 12:11 PMMadSoulzRe: Properties of Relations
- Nov 16th 2013, 01:33 PMemakarovRe: Properties of Relations
- Nov 16th 2013, 01:47 PMMadSoulzRe: Properties of Relations
- Nov 16th 2013, 01:47 PMMadSoulzRe: Properties of Relations
was the only relation that was not reflexive. Forgive my earlier failed explanation

- Nov 16th 2013, 01:59 PMPlatoRe: Properties of Relations
- Nov 16th 2013, 02:07 PMMadSoulzRe: Properties of Relations
- Nov 16th 2013, 02:12 PMMadSoulzRe: Properties of Relations
Thanks to you all for your time.