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May 11th, 2017, 06:41 PM   #11
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Quote:
 Originally Posted by romsek are you some sort of remedial AI program?
Aren't we all?

Karl Popper thought so ...

"Since our knowledge is finite , our ignorance must be infinite" -Karl Popper

Last edited by agentredlum; May 11th, 2017 at 06:44 PM.

 May 11th, 2017, 07:21 PM #12 Math Team   Joined: Dec 2013 From: Colombia Posts: 6,778 Thanks: 2194 Math Focus: Mainly analysis and algebra That is only true if there are an infinite number of things to know. But we don't know whether there are or not.
May 11th, 2017, 07:51 PM   #13
Math Team

Joined: Jul 2011
From: North America, 42nd parallel

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Quote:
 Originally Posted by v8archie That is only true if there are an infinite number of things to know. But we don't know whether there are or not.
Infinities can be constructed , the Natural numbers are infinite so Popper was right in assuming there are an infinite number of things to know ... in this example , an infinite number of Natural numbers whose cardinality is $\aleph_0$

I don't think I need to tell you that higher infinities exist ... uncomputable numbers exist ...

"The real numbers are an amorphous blurr" - Anonymous

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