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  • By definition I cannot exist, but paradoxically my name can be the solution
  • You cannot solve me, but can conclude and resolve me
  • You can try to figure me out, but you cannot figure me out

What am I?


EDIT:

Clue (the clue doesn't make it "easy" but much easier):

If I have you eternally riddled, that is my specific intention

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    $\begingroup$ Just for clarification, I don't think this is too broad or too cryptic. The answer is entirely possible. I very carefully used words and clues that are relevant to the subject matter. They're not just random clues, they specifically point to the answer. Besides, do you want a riddle that is solved in 2 mins from first thoughts and guesses? Or from a bit of thought ;) $\endgroup$
    – James
    Mar 7, 2018 at 16:33
  • $\begingroup$ note that a paradox is supposed to be "A counterintuitive conclusion", but in every single riddle, the name of the thing we are trying to figure out is the solution, so that isn't counterintuitive at all. $\endgroup$
    – NH.
    Mar 7, 2018 at 18:07
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    $\begingroup$ nope. only if the unsolvable riddle was the solution to itself would it be a paradox. The unsolvable riddle is the solution to this (very solvable) riddle. $\endgroup$
    – NH.
    Mar 7, 2018 at 18:24
  • $\begingroup$ "The unsolvable riddle is the solution to this (very solvable) riddle" But it's an unresolvable riddle, so how can it be resolved? $\endgroup$
    – James
    Mar 7, 2018 at 18:28
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    $\begingroup$ We could argue that "Ironically" or "coincidentally" could be a better fit here, or a paradox is more like "when an unsolvable riddle meets the riddler who can solve any riddle in the world". But nonetheless people understand what this riddle is getting to and there's actually correct answer being provided. $\endgroup$
    – Alex
    Mar 7, 2018 at 20:22

11 Answers 11

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Shot in the dark, but are you

An unsolvable riddle

By definition I cannot exist, but paradoxically my name can be the solution

Riddles have solutions, even if they are difficult to piece together. However, an unsolvable riddle can be the solution to this riddle.

You cannot solve me, but can conclude and resolve me.

An unsolvable riddle cannot, of course, be solved. However, you can conclude that you cannot solve the riddle, and therefore resolve the riddle.

You can try to figure me out, but you cannot figure me out.

Naturally, you can try to figure out an unsolvable riddle. However, you cannot actually figure out an unsolvable riddle.

As for the clue:

"If I have you eternally riddled, that is my specific intention"

Well, if you're stumped forever, then of course the riddle has been unsolvable.

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    $\begingroup$ first correct answer. Sorry I awarded this to Chaz as so many answers I was just getting to yours :) $\endgroup$
    – James
    Mar 7, 2018 at 17:45
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    $\begingroup$ Yay for shots in the dark! Great mind-bender, mate! $\endgroup$
    – Kendra
    Mar 7, 2018 at 17:49
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    $\begingroup$ The solution may be that there is no solution. $\endgroup$
    – James
    Mar 8, 2018 at 17:38
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This also seems too obvious, but

a paradox.

By definition I cannot exist, but paradoxically my name can be the solution

Paradoxes can't exist, but they are named paradoxes

You cannot solve me, but can conclude and resolve me

Paradoxes can be concluded impossible, and some can be resolved with extra restrictions. For example, Russel's Paradox can be resolved by naming n-th order sets.

You can try to figure me out, but you cannot figure me out

You cannot reason out a paradox and come to a logical conclusion

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    $\begingroup$ @James "although that's hard to determine when one knows the answer" that's a sign of a too broad/bad riddle. $\endgroup$
    – Quintec
    Mar 7, 2018 at 16:16
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    $\begingroup$ It's not too hard, it just needs some thought. I'm new to this site, but I can't imagine it not being solvable in 5 mins = too broad :) $\endgroup$
    – James
    Mar 7, 2018 at 16:35
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    $\begingroup$ I don't think to broad means that it's to easy, to me it means that they are too much answers that would fit your clues so there are too many possibilities. $\endgroup$ Mar 7, 2018 at 16:40
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    $\begingroup$ @James the problem with this one is "it's hard to determine when one knows the answer". Riddles usually have one answer that stands above the rest and fits much better. The clue made it better, and I think it's fine now :) $\endgroup$
    – Quintec
    Mar 8, 2018 at 15:09
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    $\begingroup$ @James you deliberately left out the rest of my quote, don't put words in my mouth. "Riddles usually have one answer that stands above the rest and fits much better." $\endgroup$
    – Quintec
    Mar 8, 2018 at 18:24
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Is it:

An unsolvable riddle

By definition I cannot exist, but paradoxically my name can be the solution

There's no point in a riddle that can't be solved!

You cannot solve me, but can conclude and resolve me; you can try to figure me out, but you cannot figure me out

You can't solve an unsolvable riddle

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    $\begingroup$ Cheers! Kendra beat me to it though! $\endgroup$
    – Chaz
    Mar 7, 2018 at 17:41
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    $\begingroup$ My bad, so many answers I got to yours first :) so close! $\endgroup$
    – James
    Mar 7, 2018 at 17:44
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I am probably wrong, but are you:

An imaginary number?

By definition I cannot exist, but paradoxically my name can be the solution

The name "imaginary" sounds like it does not exist, yet it can be a solution to a problem.

You cannot solve me, but can conclude and resolve me

You cannot solve it directly, but you can simplify it into -1 and use it to solve negative square roots.

You can try to figure me out, but you cannot figure me out

You can try and figure it out, but you still do not know exactly what it is because it is an imaginary number.

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    $\begingroup$ Nope, but great attempt. And you are "closest" so far, sort of because of "imaginary". But that is still cryptic so don't take it literally :) $\endgroup$
    – James
    Mar 7, 2018 at 16:30
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Maybe a

Logical contradiction?

Cannot exist in the real world, cannot be solved if it occurs, but you can deduce it (it concludes the deduction), and you can resolve it:

To disprove a hypothesis, you need to assume it is true, and deduce a contradiction.

Figuring out the word as a solution is possible, but figuring out the thing itself is impossible, since

If you start your deductions (figuring out) with a contradiction in the premises, you can prove absolutely everything, and its negation too.

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    $\begingroup$ Nope, but great attempt. $\endgroup$
    – James
    Mar 7, 2018 at 16:29
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Are you

Infinity?

By definition I cannot exist, but paradoxically my name can be the solution

Many believe that it's an idea not being actual - however defining infinity means it can/does exist

You cannot solve me, but can conclude and resolve me

You cannot count to infinity but you can define it.

You can try to figure me out, but you cannot figure me out

I believe so

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    $\begingroup$ Was a good guess :) you were on the right track with the "impossible" $\endgroup$
    – James
    Mar 7, 2018 at 17:42
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My guess is

A solution to this puzzle which is also not a solution to this puzzle.

By definition I cannot exist,

This is a complete logical contradiction

but paradoxically my name can be the solution

But this indeed may be the solution.

You cannot solve me, but can conclude and resolve me

I don't think I can find a solution to this puzzle which is also not a solution but I can conclude and resolve with myself that this is the correct solution.

You can try to figure me out, but you cannot figure me out

If I figure out a solution to this puzzle, I will have figured out something which is also not a solution so indeed, I haven't figured it out.

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5
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This is a wild guess, but is the answer

The largest Prime number...


By definition I cannot exist, but paradoxically my name can be the solution

It is known that there exist infinite primes, if we somehow find a pattern, many things will get easier.


You cannot solve me, but can conclude and resolve me

We can not get the largest prime, but the search is still going on(GIMP).


You can try to figure me out, but you cannot figure me out

We can try to figure it out, but since it can get as big as possible, we can't get one(greatest) value.

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    $\begingroup$ Was a good guess :) you were on the right track with the "impossible" $\endgroup$
    – James
    Mar 7, 2018 at 17:42
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Are you

a thought

By definition I cannot exist, but paradoxically my name can be the solution

thoughts are somewhere in your mind, some searches say they are brain configurations, some articles say a thought has negative mass due to consuming energy to think.

You cannot solve me, but can conclude and resolve me

we don't know much about thinking or thoughts, but everyone can think and have thoughts.

You can try to figure me out, but you cannot figure me out

thinking about thoughts is confusing

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This works too, doesn't exist, you can resolve it or conclude it:

Nothing.

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  • $\begingroup$ Nothing is just a state of potential, imho. $\endgroup$
    – Mr Pie
    Mar 21, 2018 at 5:24
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My guess is

God
It is logically impossible for an omnipotent creature to exist.
The name can be used to solve things and answer the questions, for example, if you don't know something it means that God did it.
You can't solve something that can't exist, but you can imagine it exists and resolve it.
You can try to figure out, but God works in mysterious way so you can't figure it out.

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    $\begingroup$ Welcome to Puzzling.SE! Could you edit your answer to include spoiler tags, so as not to spoil your solution for anyone who wants to have a go at the puzzle themselves? Thanks! $\endgroup$
    – F1Krazy
    Mar 9, 2018 at 17:34

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