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Old Jan 24, 2006, 03:03 AM // 03:03   #1
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Default Something to think about

I just saw this somehwere and it made me think, maybe you guys will do the same.


Try to get this:

The following statement is true. The previous statement is false.

Which sentence is true? false?


Kudos to those who get it right away, as it took me a good minute or so
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Old Jan 24, 2006, 03:07 AM // 03:07   #2
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uhhh..Both are false?
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Old Jan 24, 2006, 03:23 AM // 03:23   #3
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AS it is neither statment is false. Since the First statement says taht the following statment is true, then the following statement should be true. But since the following statement says the previous statement is false, then one should assume that the previous statement is in fact false. so as they are contridictory statements neither can be true, but both can not be false. so as it is you can not judge one as false since it would contridict the other statement. you can not have both as true. and if both are false then it means that the following statement is TRUE. but if the previous statement is true then the following statment is false, but that therefore contridicts the first statement rendering it false. there for neither can be true.
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Old Jan 24, 2006, 05:08 AM // 05:08   #4
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Pfft, what a simple paradox.

The answer is simple: Both those statements put together in that way cannot exist, therefore, neither is true nor false because they both don't exist.

To do a somewhat shoddy example with math (everyone loves math, right?)

y=2/x. In the situation above, the 2nd statement can be anything but "The previous statement is false" (or anything that happens to mean the same thing) just as in the equation, x can be anything BUT zero (because you can't divide by zero. Go ahead, check it). For the math equation, if x has the value of zero, then y (with the statements, y would be the outcome, such as which is true and/or false) doesn't exist. See?





I'm going to be honest; I just fabricated a whole bunch off math stuff that probably got at least 4 people confused. And that idea makes me happy
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Old Jan 24, 2006, 05:14 AM // 05:14   #5
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Totaly contradicting statement, its like an oxymoron or something. Stop tying to make me think on the internet.
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Old Jan 24, 2006, 05:38 AM // 05:38   #6
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Manadar got it so far as I know, that's what I was going for but then lost my post in a connection screw up. The first statement is true if and only if the second statement isn't stating what it currently is, and the second statement is true if and only if the first statement isn't stating what it currently is. You can't look at it in two seperate pieces and come out with a true or false definate for either.

You have to look at the two statements as a whole and label them as such: bullshit.
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Old Jan 24, 2006, 05:55 AM // 05:55   #7
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is this like x squared= -16?
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Old Jan 24, 2006, 06:21 AM // 06:21   #8
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Quote:
Originally Posted by Guillaume De Sonoma
is this like x squared= -16?
no because in your example 4i squared equals -16. So you can replace x with 4i.
(in what I just said i stands for an imaginary number, and when you square i you get -1, because i is the square root of -1)

I bet i confused more people then Manadar did just now, but it is all true.

Last edited by TheEPIC; Jan 24, 2006 at 06:24 AM // 06:24..
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Old Jan 24, 2006, 06:28 AM // 06:28   #9
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Quote:
Originally Posted by TheEPIC
no because in your example 4i squared equals -16. So you can replace x with 4i.
(in what I just said i stands for an imaginary number, and when you square i you get -1, because i is the square root of -1)

I bet i confused more people then Manadar did just now, but it is all true.
Imaginary numbers aren't confusing...using them to explain Imaginary time, now THAT is confusing
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Old Jan 24, 2006, 06:35 AM // 06:35   #10
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You have a point. But imaginary numbers may not confuse us since we have been exposed to them. But, I know people for whom the concept of there being numbers outside of 0-1-2-3-4-5-6-7-8-9..., is just too much handle and upon exposure to imaginary numbers their heads spontaneously combust.
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Old Jan 24, 2006, 01:19 PM // 13:19   #11
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no love for my answer... i said basically the same thing as Manadar did, just used longer terms and didnt use math. look at the bottom of my last post it says neither are true and through out it it says they are contridictory statments, but nooo everyone goes for mandars answer cause he uses math! ya well figure this one out. whats teh EXACT cos(195)? oooo what cant figure that out!! ooo i must be smarter then you all. anwyays ya as stated before tehy are contridictory neither can be right. neither can be wrong.


Exact cos(195)=cos(45+150)
cos45xcos150+sin45xsin150
root2/2 X -root3/2 + root2/2 X 1/2
-root6/4 + root2/4
answer=
-root6+ root2
------------
4

confuzzeled? good you should be
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Old Jan 24, 2006, 01:48 PM // 13:48   #12
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Quote:
Originally Posted by PieXags
You have to look at the two statements as a whole and label them as such: bullshit.
im going to go with this one
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Old Jan 24, 2006, 04:48 PM // 16:48   #13
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Quote:
Originally Posted by I pwnd U
no love for my answer... i said basically the same thing as Manadar did, just used longer terms and didnt use math. look at the bottom of my last post it says neither are true and through out it it says they are contridictory statments, but nooo everyone goes for mandars answer cause he uses math! ya well figure this one out. whats teh EXACT cos(195)? oooo what cant figure that out!! ooo i must be smarter then you all. anwyays ya as stated before tehy are contridictory neither can be right. neither can be wrong.


Exact cos(195)=cos(45+150)
cos45xcos150+sin45xsin150
root2/2 X -root3/2 + root2/2 X 1/2
-root6/4 + root2/4
answer=
-root6+ root2
------------
4

confuzzeled? good you should be
Actually... nope. That was taught in the same class I was taught imaginary numbers, your math problem is actually rather easy.
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Old Jan 24, 2006, 05:18 PM // 17:18   #14
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lalalallalalallalalal im not listening *i dont think hes listening*

i wont think more in school, i wont.
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Old Jan 24, 2006, 07:11 PM // 19:11   #15
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Actually,
I think both are false is the right answer.

If you make them both false the statements are thus,
The following statement is false. The previous statement is true.
And now they coexist equally.
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Old Jan 24, 2006, 08:55 PM // 20:55   #16
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Quote:
Originally Posted by chris_nin00
The following statement is false. The previous statement is true.
And now they coexist equally.
Wrong, the same problem is still there.
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Old Jan 24, 2006, 09:23 PM // 21:23   #17
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Erm, could someone explain 'exact' trigonometry to me... if that's what you call it...

You see, here in England, we don't get taught proper maths until the age of 17. For now I have to do INEQUALITIES and REGIONS. Yes, we're told that a/sinA = b/sinB = c/sinC and whatnot, but imaginary numbers have only been hinted at during quadratics when we're told "Yes, it's technically possible to do the equation but the answers are imaginary." And we approximate the gradient of a curve because we're too stupid to be taught to do it properly.

Anyway, this thread is about paradoxes, so here I go. It explains why you can't divide by zero.


Let a = b.

Multiply both sides by a.
a² = ab.

Subtracting b² from both sides.
a² - b² = ab - b² .

Factorize both sides.
(a + b)(a - b) = b(a - b).

Divide both sides by (a - b).
a + b = b.

Subtract b from each side.
a = 0

Therefore, any number can equal zero.

Last edited by {integral}; Jan 24, 2006 at 09:37 PM // 21:37..
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Old Jan 24, 2006, 11:35 PM // 23:35   #18
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Quote:
Originally Posted by Holy Arch

Try to get this:

The following statement is true. The previous statement is false.

Which sentence is true? false?

And a very merry unbirthday to you !!
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Old Jan 25, 2006, 12:42 AM // 00:42   #19
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hhhaha im glad it got all of you to think! Listening to your answers made me think more abotu it aswell...i think it was made to make people like us cry.
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Old Jan 25, 2006, 02:43 AM // 02:43   #20
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I think i spend so much time in forums and on guild wars that theres no way i can understand all of these nice little math equations on here
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