Paradox sentences

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Drako Slyith
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Anyone have any good statements that are paradoxes? I have a few:

The Senator of New York recently stated that, "All politicians always lie."

This statement is a lie.

Is the answer to this statement "no"?

By reading this you agree you never read this statement.

I always lie.



Anyone have any other ones?
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This Statement Is False

New Mission: Refuse This Mission!

Does a set of all sets contain itself?
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Statement 1: Statement 2 is false.
Statement 2: Statement 1 is true.
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alterecco
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What is the sound of one hand clapping?

Nothing is everything

One is all
Amariithynar
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Actually, i can clap with one hand, so that's not that paradoxical. :3 It is very quiet, though, in comparison.

Nothing is better than eternal happiness.
A ham sandwich is better than nothing.
Therefore, a ham sandwich is better than eternal happiness.

Less is more.

A father and his son are driving down the road. The car crashes into a tree and the father is killed. The boy is rushed to the nearest hospital where he is prepared for emergency surgery. On entering the surgery suite, the surgeon says, "I can't operate on this boy. He's my son."

Here's a math example:

a = x [true for some a's and x's]
a+a = a+x [add a to both sides]
2a = a+x [a+a = 2a]
2a-2x = a+x-2x [subtract 2x from both sides]
2(a-x) = a+x-2x [2a-2x = 2(a-x)]
2(a-x) = a-x [x-2x = -x]
2 = 1 [divide both sides by a-x]
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blizgerg
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Amariithynar wrote: Here's a math example:

a = x [true for some a's and x's]
a+a = a+x [add a to both sides]
2a = a+x [a+a = 2a]
2a-2x = a+x-2x [subtract 2x from both sides]
2(a-x) = a+x-2x [2a-2x = 2(a-x)]
2(a-x) = a-x [x-2x = -x]
2 = 1 [divide both sides by a-x]
Error dividing by zero.
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Amariithynar
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Regardless of it being division by zero, it still is a paradox: A falsidical paradox, to be precise.
Drako Slyith
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Amariithynar wrote:
Nothing is better than eternal happiness.
A ham sandwich is better than nothing.
Therefore, a ham sandwich is better than eternal happiness.

Less is more.

A father and his son are driving down the road. The car crashes into a tree and the father is killed. The boy is rushed to the nearest hospital where he is prepared for emergency surgery. On entering the surgery suite, the surgeon says, "I can't operate on this boy. He's my son."
'Less is more' is a contradiction, not a paradox. A sentence paradox is a sentence which makes itself true if it is false, and false if it is true. Therefore it is both true and false. The surgeon one has a solution, it is a riddle, not a paradox. The surgeon is the boy's mother.
The sandwich is very clever, but not a paradox. A similar process is this:
Proof that women are all evil:
To keep a woman, you must spend both time with them and money for gifts for them: T(time)+M(money)=Women. But the more time you spend, the more money you spend in proportionate amounts, or TxM=Women. As we know, time is money. Therefore you have MxM=Women, or Women=M^2. We all know that money is the root of all evil on earth, or M=sqrtE(evil). We then know that M^2=E. Because Women=M^2, we are forced to conclude that M^2=Women=Evil, or Women=All Evil on Earth. :D
It is a process. The math problem is a paradox though, because any number should work as both A and X, because A=X and all the subsequent problems just rewrite that.
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Amariithynar
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Paradox;
1. A seemingly contradictory statement that may nonetheless be true: the paradox that standing is more tiring than walking.
2. One exhibiting inexplicable or contradictory aspects: "The silence of midnight, to speak truly, though apparently a paradox, rung in my ears" (Mary Shelley).
3. An assertion that is essentially self-contradictory, though based on a valid deduction from acceptable premises.
4. A statement contrary to received opinion.

They fit the bill as to what a paradox is.
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alterecco wrote:What is the sound of one hand clapping?
If you swing your hand at supersonic speeds it will make a clapping noise (more of a crack, but whatever), thus allowing you to clap with one hand. :D
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alterecco
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alterecco wrote:What is the sound of one hand clapping?
It is an old zen koan. Been around since before we broke the sound barrier :)
speedofsquid
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Lmoy wrote:
alterecco wrote:What is the sound of one hand clapping?
If you swing your hand at supersonic speeds it will make a clapping noise (more of a crack, but whatever), thus allowing you to clap with one hand. :D
If you move your hand at superluminal speeds, you can place it into its own past path, thus have allowing you to clapped with one hand, unless by diding so, you are have will preventinged yourself from clappeding with one hands.
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blizgerg
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All generalizations are false.

All things in moderation.
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