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How could the set oif natural numbers not be finite

  1. Dec 12, 2012 #1
    The set of all possible streams of brain activity arising from all possible configurations of all possible neurons with all possible connections is finite, so if you accept that natural numbers are a creation of the human mind (brain), then don't you have to accept that the set of number is finite? When they start counting, mathematicians generally imagine the natural numbers as a platonic universe where objects are extended infinitely, but if thoughts about numbers are created by brain activity, and brain activity is finite, then every possible natural number and mathematical object imaginable from every direction with every one of thousands of subtle conscious factors is associated with a unique brain state, which is part of a larger finite set...unless we are wrong about physics and spacetime is truly continuous?
     
  2. jcsd
  3. Dec 12, 2012 #2

    Evo

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    Staff: Mentor

    Post the peer reviewed scientific studies that say "all possible configurations of all possible neurons with all possible connections is finite". Once you furnish that, we can consider the rest of your post.
     
  4. Dec 13, 2012 #3

    BobG

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    Physically, the number of frequencies, the amplitude of those frequencies, etc of a radio is finite. So, by the same implication, does that mean the number of messages I could send out on the radio must be finite?
     
  5. Dec 13, 2012 #4
    If the set of natural numbers is finite, then there is a largest one, call it n. Then n + 1 is not a natural number. But n + 1 is a natural number. Therefore, the set of natural numbers is not finite.
     
  6. Dec 14, 2012 #5

    Pythagorean

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    Killed it
     
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