Checking The Validity of An Argument (Shortcut Method)

Discrete Mathematics: Checking The Validity of An Argument (Shortcut Method)
Topics discussed:
1. A quick and easy method to check the validity of an argument.
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[@jaiswalpankaj735]

Excellent method sir. Hats off. Through this method I can solve any problem within a minute.

[@rajeshprajapati6662]

I also solved the last two examples using this method and got everything in place. You are amazing.

[@rattitat1830]

so well explained! this 4 minute video put everything in place for me, thank you

[@iramkhan4798]

But why couldn't I understand

[@Andreatuzze]

this was the explanation I was searching for, you saved me thank u so much !!

[@certifiedsmartass4122]

I have been using this method since you introduced rules of inference.

[@Arii_75]

That was really helpful! Thank youu

[@ha5014]

Thank you so much

[@suriyaprakashgopi]

Your are so coool in these topics Thank You

[@arturvincent4739]

Very helpful indeed, I'm still confused of how to work with arguments that contain or connectors and not just and connectors

[@abhi34776]

you are life saver . thankyou

[@Spy007.]

This is helpful for me 😀

[@swatiswagatikamuduli9279]

Valid means when proposition is tautology but it is not tautology how this problem will valid ??

[@zedwokneh470]

Great guy❤

[@haroldchristfalculan9298]

thanks.

[@jessicabosworth524]

Is there a way to turn on the closed captions with your videos?

[@mayac4626]

Simply superb 👌👏

[@popoporiBN]

if the maths/computer tutorial video does not have a honking sound in the background, I do not trust it.

[@shivamsompura2234]

How can we solve with help of rules of inferences ?

[@sk99gaming99]

Saw this question in 2005 math paper and was panicked and curious to know abt this

[@yms2760]

Thnks

[@thankgodjosephakoh6873]

Sir wat if in the premises its m implies p...

[@adityaprasaddhal2462]

But still if it comes in exam, we have to solve using rules , can somebody explain me how to solve it using rules

[@sumedhasharma3042]

Okay , so the arguments are : T -> (M ∨ E) S -> ~ E T ^ S ----------------- : M _______________ First we take the argument 1. T ^ S ----------- T or S (Using Simplification) then we take the T obtained and use it with the first argument - 2. T -> (M ∨ E) T --------------------- : (M ∨ E) ( Using Modus Ponens) Then we take the S obtained above and use it with the second argument - 3. S -> ~E S -------------- ~E (Using Modus Ponens) Then we take the results obtained above in 2 and 3 step - M ∨ E ~E ------------- M (Using Disjunctive Syllogism) H,P Hope it helped

[@happysunflower3929]

@@sumedhasharma3042 Thank youuu

[@kshitishsorte2918]

@@sumedhasharma3042 OMG THANK YOU SO MUCH

[@sauravshrestha5254]

@@sumedhasharma3042 can't we use addition after (M v E)

[@sayantaniguha8519]

But yy who cares it's MCQ right?

[@bishwarai3107]

A concern with you method I wanted to raise was, I think the argument should be written as T -> ( M v E ), not T -> M v E. Your conclusion is still true because M is still false but the reason is because M v E would mean f or f, which can not be true.

[@user-ip6qp3dt5y]

people like you should be elected as a president

[@AnimeLover-ck3vh]

Thank you po ~uwu~🥰👉👈

[@thankgodjosephakoh6873]

Sir pls d rul we need more examples on this short cute method

[@Andreatuzze]

Is this backward chaining method used by inference engines?

[@alighulam3408]

Respected sir you have more vedios except these 30

[@sanjananayak9366]

sir why are we not using inference laws like earlier??

[@dryusufkamal1176]

Sir, excellent illustration and explanation . Can you please name this method ? ( I need this to apply this method to test the validity of my assumption in one of my research case study). Thanks and Regards, Yusuf Kamal

[@LY-of9sj]

Short truth table

[@MayankSharma08]

finally dr

[@AkashSingh-zy5xe]

Show that the premises " It is not sunny this afternoon and it is colder than yesterday, " "We will go swimming only if it is sunny, " " If we do not go swimming, then we will take a canoe trip," and "If we take a canoe trip,then we will be home by sunset" lead to the conclusion " We will be home by sunset." Please sir apply your method in this problem. Because I am not getting the same result using your method.

[@mskJr1993.]

I only use this method to check the validity for myself

[@vatsalgupta6889]

Check it is valid or invalid?? If the two sides of the triangle are equal then opposite angles are not equal .Therefore opposite angles are not equal

[@gutudaba4607]

Best

[@FaiGal]

it's valid cuz it can be proven the argument conclusion is invalid/false?

[@kunalsinghal8247]

can we solve with this method in engineering university exams?

[@Karthikagisam]

NO U CAN'T MAN IF U DO THEN U WILL GET 1 MARK

[@rameezkhan5712]

How this is valid argument?? Then what happens when all the premises true and conclusion also true...thats also valid argument?

[@medabotsisbetterthanpokemo8960]

Same here bro I'm confused as to how it's valid n not invalid

[@AmanUllahFaisal]

I think it is because of if p then q relationship between the premise and the conclusion. It is a tautology, which happens in 3 cases of if p then q. Read the truth table and relate it to the example, you will definitely get a clearer idea.

[@skyterapricot7643]

@@medabotsisbetterthanpokemo8960If the conclusion is True then it is valid because it resist the force of assignment which say all the premises should be true and the conclusion should be false but if not all the premises are true and conclusion is false it is a valid argument or if all the premises are true and the conclusion are true then it is a valid argument also as long as it resist the force of assignment.

[@Ibrahim-yv1ld]

We only check that row where all premises are true

[@farhanbajwa4954]

If you apply this shortcut method to argument in previous video, then argument will be wrong, but you proved that argument are right in that video?

[@iramkhan4798]

Didn't understand

[@SpiritlinkProject]

Bruh be my tutor

[@sandratawfek9576]

I have a question, as I am not sure, if I understand it right or not. T T T T T T T T T T F F ---------------------------------------------------------------------- T F F T valid invalid valid (why?) invalid (Right) Thanks in advance

[@shutdahellup69420]

Sheeeeeeeesh

[@russellandrady]

Sir. I don't understand it. If all premises are true and conclusion is false. This argument is not valid. That's right. But when it is not possible it can be something like this. T F T ...... F Then also argument is invalid.

[@sayantaniguha8519]

But y have u taken the value of one premise as FALSE ?!