Iacomus wrote:Frank
I don't know that I agree with you. 'OR' has always been an operator in logic and this is merely an 'inclusive or' statement. It could be written algebraically as (with 's' being 'statement', 'p' being 'photograph', 'k' being 'kiss', and '-' being 'not')
"s = k OR -p "
But you did say 'no algebra' so, in words:
I did not express any problem with the word "or." Qualifiers certainly can be used - and I used a qualifier in the solution I came up with.
I merely said that
I could not do it with algebra. But you certainly can.
In your earlier post the statement you suggested was:
Quote:His statement is that she will either refuse him the photograph OR give him the kiss OR both.
I asked you to word the statement so I could evaluate it. Keep in mind that I have to think this thing out - I don't have an answer sheet to work with, because there are several ways of making a statement that works. (Try to work with me on this -- it ain't easy!)
Now your statement is: "Either you will kiss me or you will refuse me the photograph"
First, let me give you my solution - and the reasoning behind it - and then we will talk about your statement, which looks very, very much like mine.
Mine is: You will not give me your photo unless you also give me a kiss.
The lady is presented with this situation: She can only give him the photo if she also gives him a kiss (or else the statement would be false and she would be required NOT to give him a photo.)
But the only way the statement can be false
is if she gives the photo without giving the kiss - which she cannot do because of her promise NOT to give a photo if the statement is false.
So the statement HAS TO BE true - and she is required to both give a kiss and give a photo.
Now let's take a look at your statement as offered and see if it truly is the same.
I THINK there is a necessary element missing from your construction. The element I think is missing is: "Either you will kiss me
and give me your photo or you will refuse me the photograph."
Your statement: : "Either you will kiss me or you will refuse me the photograph"
How can the statement be false.
It can be false if she
both kisses him
and refuses the photo - which means he does not get the photo. (He ends up with just the kiss and not the photo) And she has met the requirements of her promises.
If your statement is amended to include the element I mentioned, however, I think the dynamics change.
I'll let you be the judge - because I've worn myself out thinking about this.
The amended statement: "Either you will kiss me and give me your photo or you will refuse me the photograph."
How can this be false? It can only be false if she
both "kisses him and gives him her photo"
and refuses to give the photo. Which of course, is an impossibility.
So the statement as amended has to be true. Which means she WILL give him both a kiss and a photo.
Lemme say out front - that the riddle has several answers and I truly labored over the reasoning in your statement as unamended.
I am certainly willing to listen to whatever you have to say in response.
Tough goddam problem, I'll tell ya that!