The Naked Scientists
Toggle navigation
Login
Register
Podcasts
The Naked Scientists
eLife
Naked Genetics
Naked Astronomy
In short
Naked Neuroscience
Ask! The Naked Scientists
Question of the Week
Archive
Video
SUBSCRIBE to our Podcasts
Articles
Science News
Features
Interviews
Answers to Science Questions
Get Naked
Donate
Do an Experiment
Science Forum
Ask a Question
About
Meet the team
Our Sponsors
Site Map
Contact us
User menu
Login
Register
Search
Home
Help
Search
Tags
Member Map
Recent Topics
Login
Register
Naked Science Forum
On the Lighter Side
New Theories
Godel's 2nd theorem ends in paradox
« previous
next »
Print
Pages: [
1
]
Go Down
Godel's 2nd theorem ends in paradox
0 Replies
120 Views
0 Tags
0 Members and 1 Guest are viewing this topic.
sim
(OP)
Jr. Member
33
Activity:
0%
Thanked: 2 times
Godel's 2nd theorem ends in paradox
«
on:
23/01/2019 06:52:08 »
Godel's 2nd theorem ends in paradox
http://gamahucherpress.yellowgum.com/wp-content/uploads/GODEL5.pdf
[nofollow]
Godel's 2nd theorem is about
"If an axiomatic system can be proven to be consistent and complete from
within itself, then it is inconsistent.”
But we have a paradox
Gödel is using a mathematical system
his theorem says a system cant be proven consistent
THUS A PARADOX
Godel must prove that a system cannot be proven to be consistent based upon the premise that the logic he uses must be consistent . If the logic he uses is not consistent then he cannot make a proof that is consistent. So he must assume that his logic is consistent so he can make a proof of the impossibility of proving a system to be consistent. But if his proof is true then he has proved that the logic he
uses to make the proof must be consistent, but his proof proves that
this cannot be done
THUS A PARADOX
Logged
Print
Pages: [
1
]
Go Up
« previous
next »
Tags:
There was an error while thanking
Thanking...