ASK A QUESTION

RECENT RESPONSES

CONCEPT CLOUD






  • Panelist Login

I have a very vague understanding of Goedel's famous Incompleteness theorem, but I know enough to know that I see it constantly interpreted in what seem like bizarre ways that I am sure anyone who really knew the relevant math or logic or philosophy would find ridiculous. The most common of these come from "new age" sources. My question is, for someone who knows something about the theorems, what is it about them that you think attracts these sorts of odd and (to say the least) highly suspect interpretations? I mean you don't see a lot of bizarre interpretations of most technical theories/proofs in math, logic, or philosophy.

July 2, 2009

Response from Peter Smith on July 2, 2009
You are quite right that Gödel's (first) incompleteness theorem attracts all kinds of bizarre "interpretations". Various examples are discussed and dissected in Torkel Franzen's very nice short book, Gödel's Theorem: An Incomplete Guide to its Use and Abuse, which I warmly recommend.

My guess is that a main source for the whacky interpretations is the claim that has repeatedly been made that the theorem shows that we can't be "machines", and so -- supposedly -- we must be something more than complex biological mechanisms. You can see why that conclusion might in some quarters be found welcome (and other technical results in logic generally don't seem to have such an implication). But as Franzen explains very clearly, it doesn't follow from the theorem.


Print PRINT Send2friends E-MAIL
E-MAIL THIS ENTRY

Recipient's e-address: required
(separate multiple e-addresses with commas)
Your name: required
Your e-address: required

Track TRACK

TRACK THIS ENTRY

If you provide your e-mail address, you will be automatically notified whenever this question receives a response. Your e-mail address will not be used for any other purpose, and it will not be given or sold to anyone.

E-mail:

SHARE
SHARE THIS ENTRY

del.icio.us
Digg! Digg
Facebook
Twitter
reddit
StumbleUpon