What is a conditional statement?
If something, then something else thats the general idea
condition statement... is an if-then statement.. ex. If x is equals to y, then y is equals to x.
it is conposed of the antecedent followed by a consequent p implies q.. yhe general form in logic is \[p \rightarrow q\]
Ok. I understand that part. But thanks for clearing it up. If that's the case, in the sentence 'it is time for dinner if it is 6 p.m.' if I put that into an if-then form. It would be 'if it is time for dinner, then it is 6 p.m.' or would it be 'if it is 6 p.m., then it tis time for dinner' ...did that make sense?
if it is 6 pm,then it is time for dinner.
Oook. Soo. In 'ther are 12 eggs if the carton is full' it would be 'If the carton is full, than there are 12 eggs, right?
yup...your trying to find the truth value????
No, I have to re-write it in if-then form. (I missed school today, of course the day when we learn something new.)
ok...that's what our teacher told us..=)
Did your teacher also tell you what the heck a contrapositive is?
yup...i told you that conditional statment is
\[p \rightarrow q\] contrapositive statement is \[-p \rightarrow -q\]
- is supposed to be "tilde" verbally, it can be stated as "not p implies not q"
Oook. Soo. In the example 'if you like hockey, then you go to the hockey game' the converse would be 'if you go to the hockey game, you like hockey.' the inverse would be...something, and the contrapositive would be 'if you like the hockey game...you like hockey...' o.o i am probably very wrong though.
if you don't like hockey, then, you don't go to the hockey game... =)...im quite sure about this
oh...im sorry the form is \[-q \rightarrow -p\] that is the form of the contrapositive statement so it should be If you don't go to the hockey game, then, you don't like hockey... sorry...=)
now om damn sure...im reading my notes now....i kinda forgot..that was a year ago...
YESS!! I WAS RIGHT! Kind of. :D
Whoops...my bad. Am I making you think. o.o sorry.
no problem...hehehhe....it will be some sort of review for me..
Some sort. .... wait. So that means that the contapositive of 'if x is odd, then 3x is odd.' would be 'if 3x is not odd, then x is not'?
yah.....if 3x is not odd, then, x is not odd...
any statement whic gives sum condition .. lets take example of c lang we use if statement in dat we give sum sort of condition.......
Heeey. I think I'm understanding this contrapositive stuff.
you just negate the two statements and interchange the consequent with the antecedent
Ok. Makes sense. So if a converse is 'If you go to the hockey game, then you like hockey' what's the inverse of that? (from the example 'if you like hockey, then you go to the hockey game."
\[-p \rightarrow -q\] thats the general form of an inverse statement let p= you like hockey and q= you go to the hockey game so the inverse is: If you don't like hockey,then,' you dont go to the hockey game.
Isn't that the same thing as the contrapositive then?
look at the statements carefully, your example is "If you like hockey then you go to the hockey game." p= you like hockey q= you go to the hockey game contapositive: \[-q \rightarrow -p\] = If you dont go to the hockey game,then, you dont like hockey. inverse: \[-p \rightarrow -q\] = If you dont like hockey,then, you dont go to the hockey game... get it???=)
OOOOHHHH. Yes, I do. Yeesh, I wish I could give you 103 medals. Dooo you want to help me understand biconditional statements? Heh heh...
ok....hehehhe,, given the statements p and q biconditional statement = "p if and only if q" general form is p "double headed arrow" q -i there is no double headed arrow symbol in here
Ook, do you think you could give an example? Hhe heh...
x is equals to y if and only if y is equals to x.
Ok. What's a conditional statement?
biconditional = "p if and only if q" the existence of 'p' is essential for the existence of the 'q' and the existence of the 'q' is essential for the existence of the 'p' conditional="p implies q" the existence of 'p' is essential for the existence of 'q'
but the existence of 'q' is not essential for 'p' (for conditional)
yup....
I'm sorry if I'm keeping you awake (it's 12:25 a.m. here) o.e or keeping you from doing something...or annoying you. You're a great help though! :D
no problem...its 3:30 PM in the Philippines...im from the Philippines by the way
(That's great to hear. Really, the Philippines?! That's incredibly cool! ) Uhm...how exactly do I figure out if a statement has a valid definition? I think this is the last thing I need to know.
whew...thats difficult...i suppose you already know how to determine the truth values???
....if I said yes.....then I'd be lying...
you know how to construct truth tables???
....should I?
yes...to know the validity of a statement, it depends on the truth and falsity of the premises that comprises it...
Oh...uh....oh..
=(
Haha! It's fine. I know ALLLL the other stuff I hafta do now, thanks a TON for your help!!! Annnd now I get to finish my math assignment...at 1 in the morning...fun.
And look at that! :D I didn't miss a single question on that math assignment...acceeept for the part that I didn't understand ... ahem. But thank you! :D
congratulations..=)
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