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acf111591
Member

Can someone explain to me the implication of this statement? I know it sets up a two way street between the two terms but why is that the case???

## Comments

Hope that helps

For the example above, you essentially have two implications; (1) if grace moved the sofa then heather moved the recliner (2) If heather moves the recliner then Grace moves the sofa. Simply put - and I've not gotten through all of the conditional lessons in 7 sage - in the this example if Heather did not move the recliner then Grace did not move the couch; also if grace did not move the couch then Heather didn't move the recliner. Symbolically, (/ equals "not") (H stands for Heather moving the recliner and G stands for Grace moving the couch; -> means "implies") /H->/G and /G->/H.

specific to this question only I highly recommend going through 7sage's lawgic lessons if you have not. But also generally, they give great instruction for any section of the LSAT i have thus far encountered.

However, what's the contrapositive? is simply negating both terms the CP? For example as you say, if Hr If And Only If Gs, that means Hr <--->Gs. But is the CP /Hr <---->/Gs? and if that's the case, then does that mean that there are only two possible outcomes, or can one happen and one not happen?

Always together = A <->B. This means there are four possibilities. If A then B, if B then A, If not A then not B and if not B then not A.

Always Apart = A <-> Not B. This means if we have A then we won't have B and vice versa.

There are only four logical indicators for biconditionals

1. If and/but only if (always together indicator)... but usually means and

2. either or, but not both (always apart)

3. but not otherwise (always together)

4. except (always apart)

Check out 7sage's biconditional explanations (not sure if free user's can access it :S)

http://7sage.com/lesson/advanced-bi-conditionals/

http://7sage.com/lesson/two-types-of-biconditionals