"if only" - sufficient v necessary

Pax
Posts: 3
Joined: Sun Jan 24, 2010 5:40 pm

"if only" - sufficient v necessary

Postby Pax » Sun Jan 24, 2010 5:48 pm

How is "if only" treated in the context of sufficient and necessary condition indicators? For example,

Now, if only we could get the online TV, we'd be a truly high tech nation.

My understanding is that "if only" signifies sufficient condition since the sentence could be rewritten as

Now, if only we could get the online TV then we'd be a truly high tech nation.

Any thoughts?

pattymac
Posts: 210
Joined: Wed Nov 04, 2009 7:44 pm

Re: "if only" - sufficient v necessary

Postby pattymac » Sun Jan 24, 2010 5:52 pm

You're correct. You drop the only. So it's pretty much "if", so whatever follows it the sufficient condition. This doesn't apply to "only if" of course. And remember "if and only if" is inclusive so if "J goes if and only if H goes" means H & J go together no matter.

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existenz
Posts: 927
Joined: Tue Dec 22, 2009 3:06 am

Re: "if only" - sufficient v necessary

Postby existenz » Sun Jan 24, 2010 7:13 pm

pattymac wrote:You're correct. You drop the only. So it's pretty much "if", so whatever follows it the sufficient condition. This doesn't apply to "only if" of course. And remember "if and only if" is inclusive so if "J goes if and only if H goes" means H & J go together no matter.


I think this is correct.

If only we could get the online TV, we'd be a truly high tech nation.

Online TV = O
Truly High Tech Nation = HT

O -- > HT

Regarding "if and only if", I'd clarify that H & J would either both go, or neither would go. But yes, they stay together in either instance.

borntokill
Posts: 23
Joined: Wed Jun 03, 2009 8:26 am

Re: "if only" - sufficient v necessary

Postby borntokill » Sun Jan 24, 2010 10:30 pm

if only=if

pattymac
Posts: 210
Joined: Wed Nov 04, 2009 7:44 pm

Re: "if only" - sufficient v necessary

Postby pattymac » Sun Jan 24, 2010 10:57 pm

It's 100% correct. "If only" is equivalent to "if" vastly different from "only if."

Pax
Posts: 3
Joined: Sun Jan 24, 2010 5:40 pm

Re: "if only" - sufficient v necessary

Postby Pax » Mon Jan 25, 2010 10:00 am

Thank you, Pattymac , existenz and borntokill.




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