Annoying Logic Quiz #4: "Hugs and Flowers"

[Sunstone]

Annoying Logic Quiz #4: “Hugs and Flowers”

For this quiz, let P stand for the statement, “My friend bought me a new skillet”.


Let Q stand for the statement, “The skillet is red”.


Let R stand for the statement, “She deserves a hug”.


Let S stand for the statement, “She deserves flowers”.


Let “&” stand for “and”. Example: A & B would read “A and B”.


Let “∨” stand for “either/or”. Example: A ∨ B would read “Either A or B”.


Let “⊃” stand for ” if/then”. Example: A ⊃ B would read “If A then B”.


Let “≡” stand for “if and only if”. Example: A ≡ B would read “A if and only if B”.


Let “~” stand for “not”. Example: ~A would read “Not A”.


Let “∴” stand for “therefore”. Example: ∴ A would read “Therefore A”.​

Now please consider the following argument:

If my friend bought me a new skillet, and the skillet is red, then she deserves a hug and flowers. If she bought me a new skillet, and the skillet is not red, then she deserves a hug, but no flowers. She bought me a new skillet and the skillet is blue. Therefore, she deserves a hug but no flowers.



Quiz Question: Which of the following symbolic formulations most adequately represents the above English argument?

First Symbolization:

(P & Q) ∨ (R & S)

(P & ~Q) ∨ (R & ~S)

P & Q

∴ R & ~S



Second Symbolization:

(P ∨ Q) ⊃ (R ∨ S)

(P ∨ ~Q) ⊃ (R ∨ ~S)

P ∨ Q

∴ R ∨ S



Third Symbolization:

(P & Q) ⊃ (R & S)

(P & ~Q) ⊃ (R & ~S)

P & ~Q

∴ R & ~S



Fourth Symbolization:

(P ≡ R) & (Q ≡ S)

(P & Q) ≡ (R & S)

P ≡ R

∴ R & ~S



Correct answers will be awarded a winner rating after the quiz closes.

EDIT: We have winners!

@lovesong , @lewisnotmiller , @Scott C. all got the right answer: The third symbolism.

 

[lovesong]

It's the third one.

 

[beenherebeforeagain]

No, the answer is, why the f... would color make any difference, and why would I care???

 

[lewisnotmiller]

Third one

 

[Scott C.]

3rd

 

[Shadow Wolf]

Quiz: Is there a way to pound such lessons into people's heads to them begin to use and appreciate logic?

 

[Iti oj]

Quiz: Is there a way to pound such lessons into people's heads to them begin to use and appreciate logic?

Yea we need to teach Logic at a much earlier age

 

[Sunstone]

Quiz: Is there a way to pound such lessons into people's heads to them begin to use and appreciate logic?

I don't know about pounding things into people's heads, but I think if more parents and teachers were to reason with their kids -- rather than merely tell them what to do -- that would make a good start.

 

[Sunstone]

Step right up! Keep those hugs and flowers comin'!

 

[lewisnotmiller]

Yea we need to teach Logic at a much earlier age

Just teach programming, or even logic flows. The creative or graphical nature works better than formal notation with kids, and they still get similar building blocks.

 

[lewisnotmiller]

I don't know about pounding things into people's heads, but I think if more parents and teachers were to reason with their kids -- rather than merely tell them what to do -- that would make a good start.

Amen, brother.

 

[Sunstone]

Any final entries before this quiz is closed?

 

[Sunstone]

EDIT: We have winners!

@lovesong , @lewisnotmiller , @Scott C. all got the right answer: The third symbolism.

 

[Scott C.]

EDIT: We have winners!

@lovesong , @lewisnotmiller , @Scott C. all got the right answer: The third symbolism.

I took a class in the University called Symbolic Logic, I believe. It was one of my favs.

 

[Sunstone]

I took a class in the University called Symbolic Logic, I believe. It was one of my favs.

You go!

 

[Sunstone]

By the way -- I almost forgot -- Very special thanks to @Onyx who came up with the idea for this particular logic quiz.

 

[lewisnotmiller]

I took a class in the University called Symbolic Logic, I believe. It was one of my favs.

I've never studied logic in and of itself. My posts at RF prove this...