schmerica: (geek)
[personal profile] schmerica
Coming up on three years since I took Informal Logic at SRC, I was complaining to [livejournal.com profile] dsudis about how I seem to be forgetting all the names of various things. Like, I can still see where the fallacies pop up, and what's valid and what isn't, but I can't remember why, or what it's called.

So, then, of course, I went to look them up and remember what each one was called. And then I made up stupid little examples to show Dira, and she very kindly pretended to care even a little tiny bit.

So. I present to you all My Completely Pointless Examples of Logical Forms, Illustrated By Due South Slash. Enjoy.

Denying the Antecedent

If you are a Mountie, then you are hot.
Ray is not a Mountie.
Therefore, Ray is not hot.

FALLACY.

Affirming the Consequent

If you are Ray, then you are hot.
Fraser is hot.
Therefore, Fraser is Ray.

FALLACY.

Modus Tollens

If you are Fraser, then you are a Mountie.
Ray is not a Mountie.
Therefore, Ray is not Fraser.

VALID, YAY!!!

Modus Ponens

If Ray is really hot, then Fraser will want to have sex with him.
Ray is really hot.
Therefore, Fraser wants to have sex with him.

VALID, YAY!!!

*cough* Oddly, considering our normal conversations, this is actually not very dorky for Dira and me. Less so than our linguistic squee, at least.

(no subject)

6/1/05 22:44 (UTC)
Posted by [identity profile] raucousraven.livejournal.com
People with magnificent brains are teh Hott.
[livejournal.com profile] pearl_o has a magnificent brain.
Therefore, [livejournal.com profile] pearl_o is teh Hott.

...er, I hope I did that right. Is Affirming the Antecedent both valid and true?

(no subject)

6/1/05 22:53 (UTC)
Posted by [identity profile] pearl-o.livejournal.com
*grins* That's technically the same as the Modus Ponens example I have up there.

The truth thing is complicated, though, yeah. Valid just means that if the premises are true, then the conclusion must be true. So using the modus ponens -- if p, then q; p; therefore q -- the argument will always be valid.

Thus you can say:

If Ray and Fraser have sex, then I win a million dollars.
Ray and Fraser have sex.
Therefore, I win a million dollars.

So that is a valid argument, but not a sound one, because the premises are not true to begin with.

...Yes.

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