Give me some good paradoxes

[Nielsio]

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Some people seem to think that violence can be both good and bad at the same time. They want to diminish violence in society by giving all the guns to one centralized, monopolistic group, whom have no responsibility towards anyone.

So in order to stop gangs on the street, they create one big one; which should solve all social problems.

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If you want to turn this to the poltiics forum, I have one for you as well.

Anarcho-Capitalism.

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You meant anarcho-syndicalism, right?

[Spaded]

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The most common example of the paradox in America involves batting averages in baseball. It is possible — and in rare occasions it has actually happened — for one player to hit for a higher batting average than another player during the first half of the year, and to do so again during the second half, but to have a lower batting average for the entire year, as shown in this example:

First Half Second Half Total season
Player A 4/10 (.400) 25/100 (.250) 29/110 (.264)
Player B 35/100 (.350) 2/10 (.200) 37/110 (.336)


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How is that a paradox? Player A played less ball in the first half, hit well, but hit a lower percentage during the second half when he played a lot, so what?

Maybe I'm improperly relating "paradox" with "logically unexplainable."

[FortunaMaximus]

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The most common example of the paradox in America involves batting averages in baseball. It is possible — and in rare occasions it has actually happened — for one player to hit for a higher batting average than another player during the first half of the year, and to do so again during the second half, but to have a lower batting average for the entire year, as shown in this example:

First Half Second Half Total season
Player A 4/10 (.400) 25/100 (.250) 29/110 (.264)
Player B 35/100 (.350) 2/10 (.200) 37/110 (.336)


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How is that a paradox? Player A played less ball in the first half, hit well, but hit a lower percentage during the second half when he played a lot, so what?

Maybe I'm improperly relating "paradox" with "logically unexplainable."

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It is neither a paradox nor logically unexplainable. Dividing the season into half is the yardstick flaw.

If you look at the sample size in units of 10 (at-bats, which is the sample base here) instead, it should disappear in this example. Are such paradoxes possible in other examples?

[TimWillTell]

Pocket-pair-paradox.

In Deepstack No-Limit Holdem there are quite a few players who are not capable of folding aces.
Against such players even a low pocketpair becomes a winner.
So every time in such a situation A,A go against 2,2... on average 2,2 wil do better than A,A.

[atrifix]

This depends on the rest of the play, or there are certain other conditions present.

E.g.: Player always moves all-in preflop with AA. In such a situation 22 cannot do better than AA.

[davebwell]

I saw this one in a book called Keys to Infinity.

the probability that an integer with n-digits contains a 3 is 1 - (9/10)^n, therefore as n tends to infinity the probability that an integer contains a 3 is 1, yet there will be infinitely many integers containing no 3.

[eviljeff]

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I saw this one in a book called Keys to Infinity.

the probability that an integer with n-digits contains a 3 is 1 - (9/10)^n, therefore as n tends to infinity the probability that an integer contains a 3 is 1, yet there will be infinitely many integers containing no 3.

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dude. you just like. blew my mind.

[bowtie]

Religious Arguments against Stem Cell research....

God gave us everything we need to survive. The thousands of unfertilized eggs flushed down the toilet every month / person, should say something. Maybe God intended us to use those wasted eggs for technologies such as stem cell research.

Another paradox has to do with when does life begin for humans. Biblically it begins at the moment of conception. When the male penis ejaculates sperm into the vaginal canal and a single sperm wiggles its way into a single egg. Well if IVF is done with syringes and petry dishes, then technically it bypasses all biblical ideas of conception. If conception doesnt take place then can we call we declare it to be alive?

[morphball]

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E.g.: Player always moves all-in preflop with AA. In such a situation 22 cannot do better than AA.

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The player need not even go all-in preflop, now I may be rusty due to playing Omaha, but I am pretty sure if AA just bets more than 1/6 of his stack (assuming no menaingful pot here) 22 is a net loser.

[atrifix]

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The player need not even go all-in preflop, now I may be rusty due to playing Omaha, but I am pretty sure if AA just bets more than 1/6 of his stack (assuming no menaingful pot here) 22 is a net loser.

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I didn't bother to figure out the break-even point, but suffice it to say that going all-in preflop is not a necessary condition, just a sufficient one. There are a lot of necessary conditions in order to make 22 vs. AA a winner, however.