Back to Home

God & Science Forum Message

Forums: Atm · Astrophotography · Blackholes · Blackholes2 · CCD · Celestron · Domes · Education
Eyepieces · Meade · Misc. · God and Science · SETI · Software · UFO · XEphem
RSS Button

Home | Discussion Forums | God and Science | Post
Login

Be the first pioneers to continue the Astronomy Discussions at our new Astronomy meeting place...
The Space and Astronomy Agora
Confused By What You Mean By Completeness

Forum List | Follow Ups | Post Message | Back to Thread Topics | In Response To
Posted by Richard Ruquist on May 27, 2003 15:48:23 UTC


Paul,

I was with you until you said that 5 divided by 4 is not in the set of integers and the set is therefore not complete.

What Goedel seemed to be saying was just the opposite, that true relationships exist in incomplete systems of numbers that cannot be derived from the axioms of the system.

It's like saying that 5/4 can be found in the set of integers, but cannot be derived in that set.

From what you said, every system of numbers is incomplete. For example, the set of all real numbers would be incomplete as it does not include irrational numbers or even imaginary numbers.

Are there true relationships in the set of integers that cannot be derived within that set?

yanniru

Follow Ups:

Login to Post
Additional Information
Google
 
Web www.astronomy.net
DayNightLine
About Astronomy Net | Advertise on Astronomy Net | Contact & Comments | Privacy Policy
Unless otherwise specified, web site content Copyright 1994-2024 John Huggins All Rights Reserved
Forum posts are Copyright their authors as specified in the heading above the post.
"dbHTML," "AstroGuide," "ASTRONOMY.NET" & "VA.NET"
are trademarks of John Huggins