I dont know how you do it but you always make math seem simple and its easier to understand these laws and apply them after seeing and listening to this
You don't have to prove these laws. They are not theorems , they are axioms , that you have to take it as true by common sense. For example in high school algebra you take it as axiom the distributive law of multiplication to a sum of terms or the commutative law in addition.
Commenting so I remember to come back to this important video! Also noting that sixth line in pink is wrong as others pointed out, so (P→R)∧(Q→R) = (P v Q)→R.
I dont know how you do it but you always make math seem simple and its easier to understand these laws and apply them after seeing and listening to this
Are we supposed to memorize the last slide?
On the sixth line of pink, shouldn't it be (p V q) implies r?
Yes, it should be.
true,
(p -> r) ^ (q -> r) = (p v q) -> r
the conjunction will become disjunction and vice versa
In a few more equivalences, the last pink one is a bit wrong. Isn't it?
It should be 'p OR q implies to r' instead of p AND q.
Can someone explain how each equivalence is being derived using which law? Or rule?
You don't have to prove these laws. They are not theorems , they are axioms , that you have to take it as true by common sense. For example in high school algebra you take it as axiom the distributive law of multiplication to a sum of terms or the commutative law in addition.
How not p and q comes true?? Where p is f not p is tru and q is fals both side should not be true or false?
I think something is wrong with this problem!! Would please check it?
The last one in pink shouldnt be p V q implies r?
No, the last one it's correct. The sixth line of pink is wrong. It should be: (p v q) -> r.
Commenting so I remember to come back to this important video! Also noting that sixth line in pink is wrong as others pointed out, so (P→R)∧(Q→R) = (P v Q)→R.
minor mistake on this one (P→R)∧(Q→R) = (P∧Q)→R. This is wrong, as (P→R)∧(Q→R) = (P *OR* Q)→R.
thank you
You're welcome
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@@SawFinMath It really doesn't load. Just loads infinitely many times
Looks like it loads at 360p resolution but not higher for some reason.
@@cringeworthybears5500 its a browser problem. use updated google chrome/ firefox
@@PainRUify Have been
I rather solve it on my own than memorize it 😂