Conditional Statements: if p then q

Learning Objectives:
1) Interpret sentences as being conditional statements
2) Write the truth table for a conditional in its implication form
3) Use truth tables to see the disjunctive form of a conditional statement as logically equivalent

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This video was created by Dr. Trefor Bazett

[jbonceu]

My thought process for this have always been:
-If I guessed RIGHT then answered RIGHT, it make sense(it is RIGHT)
-If I guessed RIGHT then answered WRONG, it doesn't make sense (it is WRONG)
-If I guessed WRONG then answered RIGHT, it still make sense (It is RIGHT)
-If I guessed WRONG then answered WRONG, it still make sense (It is RIGHT)

Basically if you guessed Right in the first place, there's no reason for you to answer wrong, otherwise it will make the whole statement wrong(doesn't make sense). But if you guessed wrong in the first place, you cannot assume your answer will be right or wrong. So either way, any kind of conclusion will make the statement right (make sense)

[matalebtube]

If I study Hard -- then I will pass == Satisfied with result :)
If I study Hard -- then I don't pass == not satisfied with result :(
If I don't study hard -- then I pass == F**k Yeah I am satisfied :D
I I don't study hard -- then I don't pass == F**k it, I didn't study so I am satisfied with results :)

I hope this made better sense, these YouTube videos makes it more complicated sometimes :D

[Pgonz]

Bless my professor literally rushed through this entire topic in two sentences, gotta hate summer classes

[stormyheadley]

This was incredibly helpful. My textbook feels so incredibly over-saturated with unnecessary information and it was overwhelming. The simplicity here and your clear explanation saved my grade this week! Thank you so much!

[Mark-scbu]

'Vacuous truths' - brilliant! Truth tables were easy right up to the p(false) implies q (true) line, and this has really stumped me. Other videos just say 'memorise the outputs' and failed to explain WHY the outputs were the way they are for conditional statements - memorising was easy but this video really helped me understand the underlying logic - thank you!

[dearnobitaa]

This is mirrored, are you really left handed!!!
Your Voice guides me

[ShamSham]

Dude this was so helpful- I'm a visual learner and this is just brilliantly done

[PIVOTMASTER]

Explaining it using the ~p V q logical equivalency really helped me to finally grasp implication. Thanks!

[AmandaLaVlog]

Using this to study for the LSAT. Thanks for the video, helps a lot!

[danielcash]

I love a teacher who is enthusiastic and teaches at an understandable speed. Such a good combo. It's so common you only get one of the two.

[ivanbenitez]

I'm currently studying this for university entrance exam here in Mexico, so I came across this chanel. Your explanation is definitely easier than my textbook but I was still confused with some parts of the video so I will have to watch it as many times as needed to get it all. Thanks for the content.

[Salvation]

I was so stumped when I read this in my textbook, I'm prepping for my upcoming math class and want to understand the concepts before class starts. This was VERY helpful! Subscribed!

[missamal]

finally i got the explanation that i want, ur smart and the way u explan is very clear ...thanks a lot

[yuriroiter]

Thank you, I finally got it looking this and other your videos!

I had to develop a bit more resonating with myself explanation though.
Hope it will help somebody more as well. :)

Say, my (actually yours from another video :)) implication is:

If it is a dog, then it is a mammal.

Then, my implication is considering a dog (being a mammal) only, not a cat or a table.


I agree (It is true) that when it is not a dog (p = false), then it can be anything -- mammal or not mammal (q is true or false).
Thus, my implication is TRUE in both cases when it is not a dog -- then everything is all right with my implication, and I AGREE that (not a dog) can be anything.

But when it is a dog, then my implication is ONLY TRUE when it is a mammal -- because it is what I specifically imply!
Otherwise, my implication is FALSE. I.e. when it is a dog, and it is not a mammal -- then and only then my implication FAILS.
Only then my implication is WRONG.

CONCLUSION: Implication is FALSE ONLY when it is WRONG!

Let's create a new boolean result: WRONG! :))

[ptree]

You're videos are going to be my savior in my discrete mathematics class. My professor is extremely confusing when she's trying to explain pretty much everything. The textbook helped, but there were still some things I needed some clarification on and you explained them perfectly. Thank you so much for taking the time to make these videos.

[majorlookgaming]

Thank you for helping my college algebra course make more sense. You rule.

[rainbowestarz]

I’m teaching truth tables to my students and this video is great!

[mehakverma]

7:08 mins worth it :) Thank you so much, Dr. Trefor Bazett

[deadchannel]

this vid has been given to me by the online teacher cuz the quarantine

[kristianholtedk]

Thank you for explaining the scenarios where the initial statement is false :)