ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Math Videos 1247 videos

Compound Interest
45305 Views

Who wants to be a millionaire? In this video, learn about compound interest, interest rates, and the compound interest formula. You'll be buying th...

ACT Math 5.2 Pre-Algebra
1939 Views

ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?

Simplifying Radicals
9742 Views

We don't like knocking people down to size, but we do like simplifying radicals. Join us?

See All

Conditional and Biconditional 448 Views


Share It!


Description:

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

Language:
English Language
Subjects:

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.

Related Videos

Jane Eyre Summary
123034 Views

When you're about to marry the love of your life, not many things could stop you. However, finding out that your future hubby is keeping his crazy...

What is Shmoop?
91426 Views

Here at Shmoop, we work for kids, not just the bottom line. Founded by David Siminoff and his wife Ellen Siminoff, Shmoop was originally conceived...

ACT Math 4.5 Elementary Algebra
492 Views

ACT Math: Elementary Algebra Drill 4, Problem 5. What is the solution to the problem shown?

AP English Literature and Composition 1.1 Passage Drill 1
1039 Views

AP® English Literature and Composition Passage Drill 1, Problem 1. Which literary device is used in lines 31 to 37?

AP English Literature and Composition 1.1 Passage Drill 2
683 Views

AP® English Literature and Composition Passage Drill 2, Problem 1. What claim does Bacon make that contradicts the maxim "Whatsoever is delig...