Discrete Math - 1.1.2 Implications Converse, Inverse, Contrapositive, and Biconditionals

This video covers both implications and biconditionals and their truth table values.

Video Chapters:
Intro 0:00
Review of Connectives 0:18
Implication 1:05
Converse, Inverse, and Contrapositive 5:12
Practice 9:41
Biconditionals 11:58
A Preview 13:45
Up Next 18:47

Textbook: Rosen, Discrete Mathematics and Its Applications, 7e

[RonSheely]

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[alicewu]

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[GoldDragon]

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[DaiMoscv]

I was late from my uni for 6 weeks of lessons because of some enrollment issue, so I decided to learn my courses by myself online and found this channel, you are the best prof!
if my courses are in italian then i can't understand them, p -> q
if I can't understand them, then my courses are in italian, q -> p (converse, switch order)
If my courses aren't in italian then I can understand them, -| p -> -| q (inverse, negate)
If I can understand them then my courses aren't in italian, -| q -> -| p (contrapositive, switch order then negate)

[johnathanrhoades]

This is so so good. I'm going through and filling in my CS knowledge (never got a degree in it) and discrete maths is so foundational. Thanks for making this free online!

[RonSheely]

After thinking about this, it appears that discrete mathematics is exactly the same as my old days designing digital systems. The terminology is a somewhat different. FYI, in electronics we call the XOR logic gate "exclusive" OR.

It's satisfying to begin understanding. Thank you Professor Brehm.

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[mckenziepictures]

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[UziiTube]

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[frankhawkins]

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[inkarsagatova]

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[-Mohamed_bayan]

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[annoyingprecision]

That was a delightful exposition to the essential concepts such as contrapositive, converse, and inverse coupled with implication and the biconditional. Thank you.

[youssefyoussef]

what a beautiful NOTE !! ;)
the contrapositive is the inverse of the converse.

[antonychitsa]

Thank you for the videos. I really love the way you simplify the subject.

[EHager]

For the practice problem of the statement "Prof.B is happy when you complete your homework.", why would the if/then form not be "If Prof.B is happy then you completed your homework."? I am a little confused why one is correct and the ohter is not

[AngelFlores-gpjg]

I'm a bit confused about the professor b example, would it not be if professor b is happy then you completed your homework when you make the original statement into an if then statement. Or would p-->q be the same as q-->p

[barkhadibraahim]

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