Beefy Boxes and Bandwidth Generously Provided by pair Networks
Welcome to the Monastery
 
PerlMonks  

Re: poll ideas quest 2009 (Leibniz's dream)

by ambrus (Abbot)
on Dec 10, 2009 at 19:16 UTC ( #812269=note: print w/ replies, xml ) Need Help??


in reply to poll ideas quest 2009

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.


Comment on Re: poll ideas quest 2009 (Leibniz's dream)

Log In?
Username:
Password:

What's my password?
Create A New User
Node Status?
node history
Node Type: note [id://812269]
help
Chatterbox?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others browsing the Monastery: (8)
As of 2014-11-28 22:03 GMT
Sections?
Information?
Find Nodes?
Leftovers?
    Voting Booth?

    My preferred Perl binaries come from:














    Results (200 votes), past polls