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Which answer in this list is the correct answer to this question? (2017)

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Re: Which answer in this list is the correct answer to this question? (2017)

#112
post #95

Earlier quoted context omitted.

It would be very boring if it was paradoxical. It would just be a more complicated version of: 1. Statement 2 is wrong. 2. Statement 1 is wrong. Edit: I just looked up Yablo's paradox. It only works because there are infinite statements. Since there is a finite number of statements here, it could not be an instance of Yablo's paradox. Only a circular paradox.

One interesting aspect of this concrete example is that even though the two statements seem contradictory at first sight, there are in fact two assignments of truth values to statements so that no contradiction arises. For instance, using Scryer Prolog and its SAT solver to model the situation: ?- sat(S1 =:= (S2 =:= 0)), sat(S2 =:= (S1 =:= 0)). As answer, we get a symbolic expression that compactly captures all concr…

I actually meant to have one say false and one say true. I just made a mistake in writing it out.

Re: Which answer in this list is the correct answer to this question? (2017)

#113
post #83

Earlier quoted context omitted.

Everyone in the comment thread seems to be focused on whether each proposition can be true. This is looking for your keys under the lamppost despite the fact that you dropped them in the dark. It's easy to determine whether a proposition can be true. But the question doesn't ask about that. It just asks "which of these is the correct answer to this question?" There are no stated criteria for being the correct answer,…

That's arguing about semantics. It seems obvious from context that the intended interpretation of "the correct answer" is "the only true answer" — since "true" and "correct" are nearly synonymous, and the use of definite article singular implies that there exists exactly one answer.

To be fair, making the argument that something is obvious from context is also arguing about semantics. The other poster makes a defensible point (as do you!).

Re: Which answer in this list is the correct answer to this question? (2017)

#115
answer - https://math.stackexchange.com/a/3437700/725808

The question displays a lack of understanding of language, especially the relation between a word and its meaning. More specifically, the relation between a noun and its pronoun.

Suppose Question 1 was:

> "What day is it today?"

And suppose Question 2 was:

> "Which answer in this list is the correct answer to this question? > Friday, Saturday, Sunday"

If someone asks, 'What question is the pronoun "this" in Question 2 referring to?'

Then you can reply - 'Question 1'

And then they can proceed to answer Question 2 as 'Saturday'

Suppose I just ask you out of the blue : 'what's his height?'

You will immediately respond : 'who are you talking about?'

A pronoun must come AFTER a noun has been established. If it comes before, the speaker must clarify the noun after.

In other words, you must be able to do a Ctrl-H Find & Replace in the original sentence, and change "this" to whatever it's referring to, and the new sentence should still make sense. That is the point of pronouns.

If I ask 'what is the weather in this city?'

Does that question make sense without mentioning the city's name either before or after? It might make sense grammatically, but practically, it is not answerable.

If you now come back and say - Just replace the pronoun "this" with the text of the question, then it becomes :

"Which answer in this list is the correct answer to "Which answer in this list is the correct answer to this question" question?

Is the question answerable now ? Still NO. Because there is still one unresolved "this". Ad-infinitum.

So, to answer your question:

> 'which question ?'

The question, as is, is not answerable. Because it does not make sense until you resolve what 'this' refers to. Until then, it is just a bunch of words without a corresponding meaning. It's not a paradox or a contradiction. Barber's 'paradox', 'This sentence is false' etc. all are basically just a poor understanding of language/pronouns.

You might as well ask :

> 'Which answer in this list is the correct answer to oogabooga question?'

Re: Which answer in this list is the correct answer to this question? (2017)

#116
post #44

Similar one I enjoyed in the Naive Bayes article from yesterday https://blog.floydhub.com/naive-bayes-for-machine-learning/ Multiple Choice: If you choose an answer to this question at random, what is the chance you will be correct? A) 25% B) 50% C) 60% D) 25%

So this one is an actual paradox, right? If they would accept both correct answers, then the answer would be 50%, but then if it's 50% those two correct answers would be incorrect.

answer - https://math.stackexchange.com/a/3437700/725808

The question displays a lack of understanding of language, especially the relation between a word and its meaning. More specifically, the relation between a noun and its pronoun.

Suppose Question 1 was:

> "What day is it today?"

And suppose Question 2 was:

> "Which answer in this list is the correct answer to this question? > Friday, Saturday, Sunday"

If someone asks, 'What question is the pronoun "this" in Question 2 referring to?'

Then you can reply - 'Question 1'

And then they can proceed to answer Question 2 as 'Saturday'

Suppose I just ask you out of the blue : 'what's his height?'

You will immediately respond : 'who are you talking about?'

A pronoun must come AFTER a noun has been established. If it comes before, the speaker must clarify the noun after.

In other words, you must be able to do a Ctrl-H Find & Replace in the original sentence, and change "this" to whatever it's referring to, and the new sentence should still make sense. That is the point of pronouns.

If I ask 'what is the weather in this city?'

Does that question make sense without mentioning the city's name either before or after? It might make sense grammatically, but practically, it is not answerable.

If you now come back and say - Just replace the pronoun "this" with the text of the question, then it becomes :

"Which answer in this list is the correct answer to "Which answer in this list is the correct answer to this question" question?

Is the question answerable now ? Still NO. Because there is still one unresolved "this". Ad-infinitum.

So, to answer your question:

> 'which question ?'

The question, as is, is not answerable. Because it does not make sense until you resolve what 'this' refers to. Until then, it is just a bunch of words without a corresponding meaning. It's not a paradox or a contradiction. Barber's 'paradox', 'This sentence is false' etc. all are basically just a poor understanding of language/pronouns.

You might as well ask :

> 'Which answer in this list is the correct answer to oogabooga question?'

Re: Which answer in this list is the correct answer to this question? (2017)

#117

It seems that 5 is a winner, as stated in the accepted answer. That's a pity, first I thought the goal of the question was to create an instance of Yablo's Paradox. Yablo's paradox is important because you cannot just argue that the paradox arises from an obviously incorrect definition, as people sometimes do for classical semantic paradoxes.

answer - https://math.stackexchange.com/a/3437700/725808

The question displays a lack of understanding of language, especially the relation between a word and its meaning. More specifically, the relation between a noun and its pronoun.

Suppose Question 1 was:

> "What day is it today?"

And suppose Question 2 was:

> "Which answer in this list is the correct answer to this question? > Friday, Saturday, Sunday"

If someone asks, 'What question is the pronoun "this" in Question 2 referring to?'

Then you can reply - 'Question 1'

And then they can proceed to answer Question 2 as 'Saturday'

Suppose I just ask you out of the blue : 'what's his height?'

You will immediately respond : 'who are you talking about?'

A pronoun must come AFTER a noun has been established. If it comes before, the speaker must clarify the noun after.

In other words, you must be able to do a Ctrl-H Find & Replace in the original sentence, and change "this" to whatever it's referring to, and the new sentence should still make sense. That is the point of pronouns.

If I ask 'what is the weather in this city?'

Does that question make sense without mentioning the city's name either before or after? It might make sense grammatically, but practically, it is not answerable.

If you now come back and say - Just replace the pronoun "this" with the text of the question, then it becomes :

"Which answer in this list is the correct answer to "Which answer in this list is the correct answer to this question" question?

Is the question answerable now ? Still NO. Because there is still one unresolved "this". Ad-infinitum.

So, to answer your question:

> 'which question ?'

The question, as is, is not answerable. Because it does not make sense until you resolve what 'this' refers to. Until then, it is just a bunch of words without a corresponding meaning. It's not a paradox or a contradiction. Barber's 'paradox', 'This sentence is false' etc. all are basically just a poor understanding of language/pronouns.

You might as well ask :

> 'Which answer in this list is the correct answer to oogabooga question?'

Re: Which answer in this list is the correct answer to this question? (2017)

#118

Maybe I made a mistake, but I think this can be solved really simply just by taking each option in turn, assuming it is correct and looking for an inconsistency. 1 can't be right because it both affirms and contradicts 2. 2 can't be right because it both denies and fulfils 4 (even if 'one' means 'one and only one', because we already know that 1 is false, and looking ahead we can see that 3 is also false). 3 affirms…

Exactly, I’m not sure why people are writing code to solve this. Just needs a systematic approach.

Re: Which answer in this list is the correct answer to this question? (2017)

#119

This is the kind of things that are a real pleasure to model in Haskell. Here is a nice solution: solve funcs = filter (matches funcs) (possibilities funcs) matches funcs truths = truths == zipWith (($).($truths).flip) funcs [0..] possibilities [] = [[]] possibilities (x:xs) = concatMap (\x -> [True:x, False:x]) (possibilities xs) all_of = ((and.).) one_of = ((or.).) none_of = (((not.or).).) the_above = take the_belo…

Run it online at: https://repl.it/repls/WeeSlightExams

Re: Which answer in this list is the correct answer to this question? (2017)

#120
It seems all of the answers assume "You cannot assume there is only one correct answer." However in "...answer in this list is the correct answer..." to my mind the word "the" requires only one correct answer. If it was worded '...a correct answer...' or '...one of the correct answers...' ok sure, there can be more than one. But as it stands there can only be one correct answer so the "correct" answers so far, are based on a false premise.
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