Beefy Boxes and Bandwidth Generously Provided by pair Networks
No such thing as a small change

Comment on

( #3333=superdoc: print w/ replies, xml ) Need Help??

Does Gödel's incompleteness theorem refute Leibniz's dream about the machine that solves all mathematical problems, as Smullyan suggests?

The argument is that the machine couldn't correctly answer the question "will you answer false to this question"?

  • Yes
  • Yes, supposing the Church-Turing thesis
  • No, the Church-Turing thesis does not apply to this machine
  • No, Leibniz dreamed of something different
  • No, Leibniz didn't know what he actually wanted
  • No, you won't actually ask such a question from it
  • No, for some other reason

Update: changed "Do you suppose " to "Does " in the question.

In reply to Re: poll ideas quest 2009 (Leibniz's dream) by ambrus
in thread poll ideas quest 2009 by pollsters

Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post; it's "PerlMonks-approved HTML":

  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.
  • Log In?

    What's my password?
    Create A New User
    and the web crawler heard nothing...

    How do I use this? | Other CB clients
    Other Users?
    Others drinking their drinks and smoking their pipes about the Monastery: (4)
    As of 2015-11-26 03:36 GMT
    Find Nodes?
      Voting Booth?

      What would be the most significant thing to happen if a rope (or wire) tied the Earth and the Moon together?

      Results (696 votes), past polls