Can a small fairy be serious and smart?

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Discussion Overview

The discussion revolves around the logical implications of the characteristics attributed to fairies, specifically their size, intelligence, and seriousness. Participants analyze a set of statements to determine which scenarios are logically consistent or contradictory, exploring the nature of the claims about fairies and their properties.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that fairies are both small and smart, yet also serious, leading to confusion about the logical implications of these traits.
  • One participant argues that the answer indicating a "small and serious fairy" is incorrect, claiming that the properties of fairies contradict each other.
  • Another participant suggests that the existence of fairies creates a logical contradiction, as being smart implies being serious, which conflicts with the playful nature attributed to non-smart creatures.
  • Several participants express frustration over the representation of fairies in a diagram, questioning why fairies are not depicted within the serious category.
  • There is a discussion about whether the original question contains an error, with some participants suggesting that the data does not adequately define the relationship between smart and serious creatures.
  • One participant emphasizes that the data only specifies that non-smart creatures are playful, leaving the status of smart creatures ambiguous.
  • Another participant proposes that the logical structure of the statements could be simplified to clarify the relationships between the traits of fairies.

Areas of Agreement / Disagreement

Participants express differing views on whether the original question contains an error and whether the properties of fairies can coexist without contradiction. There is no consensus on the correctness of the claims made about fairies.

Contextual Notes

Participants highlight potential ambiguities in the definitions of "smart," "serious," "dumb," and "playful," which may affect the interpretation of the statements. The discussion also reflects on the limitations of the provided data in establishing clear logical relationships.

some_one
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data:
fairies are small and smart.
a creature is not smart,unless it's not serious.
fairies are serious.

what answer is not possible
1.a small and serious fairy
2.a smart creature which is not a fairy
3.a small creature which is not serious
4.a serious creature which is not a large and smart creature

i don't know why they chose 1
as the correct answer
??
 
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some_one said:
data:
fairies are small and smart.
a creature is not smart,unless it's not serious.
fairies are serious.

what answer is not possible
1.a small and serious fairy
2.a smart creature which is not a fairy
3.a small creature which is not serious
4.a serious creature which is not a large and smart creature

i don't know why they chose 1
as the correct answer
??
1 could not possibly be the correct answer, since those two properties of fairies are given.
 
I lie. It is 1.

Fairies are a contradiction.

By (1), they're Smart. (within blue and green)
But, by (2), if it's Smart, it has to be Serious (blue is within red)

So, answer 1a proposes a fairy that is inside Smart (blue), but outside Not Serious (red) (because (3) fairies are serious)

Heh. Conclusion: Fairies don't exist. Clever.
 

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Last edited:
can you please post a link to your attached photo
because
i was told that i am not privileged to view it
 
Last edited:
i was told also that fairies are serious
why didnt you maked this in the graph
there should be a fairy dot in a serious circle

why didnt you do it?
 
Last edited:
some_one said:
can you please post a link to your attached photo
because
i was told that i am not privileged to view it

Neither am I. It's a bug.

You can view the pic by looging out and then viewing it.
 
some_one said:
i was told also that fairies are serious
why didnt you maked this in the graph
there should be a fairy dot in a serious circle

why didnt you do it?

The point is that there is no where that one can put a dot that represents fairies.

No single point can satisfy all given criteria.
 
so this questions has an error in it
 
Not true. The data only says that all dumb (not smart) creatures are also playful (not serious). It says nothing about smart creatures. They can be serious or playful. Now, if there are supposed to be some "All" somewhere in the data, then that's a different story.
 
  • #10
daveb said:
Not true. The data only says that all dumb (not smart) creatures are also playful (not serious).
That's not quite what it says.


daveb said:
It says nothing about smart creatures. They can be serious or playful. Now, if there are supposed to be some "All" somewhere in the data, then that's a different story.
Well, let's see if we can get the set diagram correct. Do you see any flaws in mine?
 
  • #11
So, there's arguably no actual error in the question-- although you could argue that there is. I like the playful/serious and dumb/smart comparisons since they simplify the wording. That is, "not smart" == "dumb", and "not serious" == "playful". See how it affects the ease of understanding in the puzzle:

1. fairies are small and smart.
2. a creature is dumb, unless it's playful.
3. fairies are serious.

Now it's much easier to untangle the logic in #2. It's saying that ALL serious creatures are necessarily dumb. The only way a creature can avoid being dumb is by being playful. Now look at fairies. They're supposedly smart and serious! But if #2 is correct, then a fairy goes against the rule. Hence, the implication is that there's no such thing as fairies-- if fairies don't exist, then no rules are broken. Fairies might as well be small and big, or smart and dumb. Since none exist, there's arguably no contradiction.

DaveE
 
  • #12
thank i understood that
 

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