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Conditional and Biconditional 448 Views


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If you watch this video, then you'll know what conditional and biconditional statements are. Trust us. We're great at them.

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Transcript

00:08

OK, we're gonna borrow an "If-Then" statement from the greatest basketball player of all

00:12

time: MJ said:  If you accept the expectations of others...,

00:18

then you never will change the outcome.

00:21

The statement is a CONDITIONAL one - that is... given the CONDITION that you accept

00:26

the low expectations of others - like you just accept that you're gonna be a total loser

00:31

and end up doing pretty much nothing with your life... because you listen to your critics

00:35

... then you'll never change their minds and be the successful person that's inside you.

00:39

Or something like that.

00:40

Mathematically said, consider the variable P to equal "I accept that I am a loser - thank

00:46

 you critics <beeeep>"; And then consider the variable Q to be "Then I'll be a loser."

00:52

If P is true, then Q will be true.   That is, if I listen to my detractors, then I'll

00:56

lose.  So the If/then type of conditional statements

00:59

will come at you from all kinds of angles. Like... spin some things around by assuming

01:04

the opposites. If P is NOT true - that is, P is FALSE,  that is, if you DONT listen

01:09

to your critics then you'll have the chance to change things - to NOT be a loser. 

01:14

Does it work the other way around? Like ... if you'll have the chance to change your life,

01:18

to upgrade it - THEN will you listen to your critics? If Q is true, then will P be true?

01:23

In this case, maybe. No guarantees though. 

01:26

that's called the Converse and is not even remotely related to the brand that once competed

01:31

with…

01:31

<swoosh logo> 

01:31

yeah, them. 

01:32

So what if you know that P is false - that you WONT listen to your critics, then does

01:36

that mean Q will be false as well - ie that you'll be a winner and not a loser? No guarantees

01:42

but you get the idea. That's called the INverse.

01:45

And the last flavor in this little <dance?> is the CONTRAPositive and has nothing to do

01:50

with false pregnancy signs. 

01:52

If Q is false, then is P also false? If you are NOT going to end up a total loser then

01:57

will you also listen to your critics? 

01:59

Take our advice – be like Mike.

02:01

Just don’t take a couple years off to play baseball.

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