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As usual, personal attacks are forbidden, and all that needs to be posted is the paradox.

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"The following statement is false. The preceding statement is true."

Could God make a rock so heavy that not even he could lift it?

What's the sound of 3.1415926... hands clapping?

All humans are liars.

5000 marbles is a lot of marbles.

If you have a lot of marbles, and take away one marble, then you still have a lot of marbles.

By induction, zero marbles is a lot of marbles.

Does the set containing all sets not containing themselves contain itself?

Silly naive set theorist!

The class of all sets that do not contain themselves isn't a set. It's a proper class. And it doesn't contain itself, because proper classes cannot contain proper classes.

I am lying.

Ah, so that was the resolution of the problem in a figurative nutshell!

Yes, that's the most common hack to make it work. Given any property P, you can define the class of all sets that have property P. But not all classes are sets. A class is a set if and only if it is a member of a class. A class that is not a set is called a proper class. This system of logic, called NBG, does not have any paradoxes in it, as far as we know.

Theorem.
Every natural number can be named in under twenty words.

Proof.
Suppose not. Let N be the first natural number that cannot be named in under twenty words. But I just named it in twelve words!

Theorem.
Every natural number is interesting.

Proof.
Suppose not. Let N be the first natural number that isn't interesting. That's pretty interesting, isn't it?

The surprise on Dec 21, 2012 is that there will be no surprise.


(But actually I'm hoping for something good )

Can an omnipotent God lie and say 'I exist', if he doesn't?

If everything is "possible", then it is "impossible" for this statement to be "impossible".

Pffft, all of these God things aren't paradoxes, they're just proofs that certain kinds of gods don't exist.
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A teacher says that she is going to set a surprise test on one of the days from Monday to Friday.
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Theorem.
The teacher cannot set this surprise test.
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Proof.
The teacher cannot set the test on Friday, because on Friday, the students will know that the test must be on Friday, and it won't be a surprise.

The teacher cannot set the test on Thursday, because on Thursday, the students will have worked out that she cannot set the test on Friday, so they will know that the test is on Thursday, and it won't be a surprise.

Continuing in this way, we prove that the teacher cannot set the test on any day of the week.
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Epilogue.
The students cleverly work out this proof, and deduce that the teacher cannot set the test. However, the teacher doesn't know about the proof. She sets the test on Wesnesday, and the students are surprised.

These epigrams are derived from a large pile I composed throughout my sixteenth year, when I first
began reading philosophy. I predicate my choices on the grounds of their being the shortest I could find.
Nowadays, my leaning is towards extended essays on poetry. I must forewarn you that they are quite
abstract in comparison to those already posted. They are certainly not as learned in logic as the above.
I will be attending University to study English and Philosophy later this year. Meh. Hopefully they will be of some interest.


The human mind is the only thing clever enough to be stupid enough to sustain a masquerade devised for itself. 
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No lie is more efficacious than the lie told with a morsel of truth.  

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If you have not seen even generosity issue from a source of selfishness, observe more closely.
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For one to express his knowledge, and to be correct, can also implicate his lack of it.

Unlimited tolerance must lead to the disappearance of tolerance. If we extend unlimited tolerance even to those who are intolerant, if we are not prepared to defend a tolerant society against the onslaught of the intolerant, then the tolerant will be destroyed, and tolerance with them.

Killing is bad, but if we didn't kill bugs, we'd get sick ourselves.

Today is Tomorrow's Yesterday!

basic and to the point.