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Author Topic: My number is bigger!  (Read 11731 times)

alemagno12

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Re: My number is bigger!
« Reply #75 on: November 17, 2014, 04:23:00 pm »

Define define comprensible.
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MagmaMcFry

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Re: My number is bigger!
« Reply #76 on: November 17, 2014, 04:35:46 pm »

Give me a method to determine for any natural number whether it is comprensible or not.
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alemagno12

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Re: My number is bigger!
« Reply #77 on: November 17, 2014, 05:13:15 pm »

The nth incomprensible number (n?) is the nth number that is not comprensible to the average human.
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Putnam

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Re: My number is bigger!
« Reply #78 on: November 17, 2014, 05:17:39 pm »

able to be understood; intelligible

Let me tell you, any rigorous definition I can come up with says that graham's number ain't comprehensible, so 100? there is significantly smaller than that at any rate.

In fact, I would very easily argue that a trillion is incomprehensible; since you're talking "nth" number, than 100? is equivalent to one trillion, since real numbers ain't countable that way.

In any case, 100? is relatively tiny.

alemagno12

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Re: My number is bigger!
« Reply #79 on: November 17, 2014, 05:25:03 pm »

Then let n? be the nth uncomputable number that can't be comprensible by the average human.
100? wins.
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Putnam

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Re: My number is bigger!
« Reply #80 on: November 17, 2014, 05:26:53 pm »

That number is almost surely negative, and even if you're only counting positives it's almost surely less than 1 (given that humans probably can't comprehend tiny fractions and especially not tiny irrationals).

MagmaMcFry

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Re: My number is bigger!
« Reply #81 on: November 17, 2014, 05:27:47 pm »

The nth incomprensible number (n?) is the nth number that is not comprensible to the average human.
That's even worse. Now you need to give me a method to determine for any natural number and for any human whether that human comprends that number or not. Finally you need to define the set of humans from which to construct the average, and you better not give me an even number of them.
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Putnam

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Re: My number is bigger!
« Reply #82 on: November 17, 2014, 05:28:28 pm »

You also need to define what exactly you're averaging here.

alemagno12

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Re: My number is bigger!
« Reply #83 on: November 17, 2014, 05:59:06 pm »

Oh damn.
Very well...................
f_N_N_0(n) where _ means subscript and N means aleph.
(damn hebrew)
« Last Edit: November 17, 2014, 06:02:09 pm by alemagno12 »
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FallenAngel

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Re: My number is bigger!
« Reply #84 on: November 17, 2014, 06:01:19 pm »

But who's driving the bus?

alemagno12

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Re: My number is bigger!
« Reply #85 on: November 17, 2014, 06:03:06 pm »

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alemagno12

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Re: My number is bigger!
« Reply #86 on: November 19, 2014, 01:55:01 pm »

Oh damn, the skies feel alone.
Anyone has an entry or game over?
We could continue if you allowed infinities.
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