Naked Science Forum

On the Lighter Side => New Theories => Topic started by: sim on 23/01/2019 06:47:29

Title: Gödel’s 1st theorem is meaningless
Post by: sim on 23/01/2019 06:47:29

Gödel’s 1st theorem  is meaningless as Godel cant tell us what makes a maths statement true
http://gamahucherpress.yellowgum.com/wp-content/uploads/GODEL5.pdf   (http://gamahucherpress.yellowgum.com/wp-content/uploads/GODEL5.pdf)
Gödel’s 1st theoremstates

a) “Any effectively generated theory capable of expressing elementary arithmetic cannot be both consistent and complete. In particular, for any consistent, effectively generated formal theory that proves certain basic arithmetic truths, there is an arithmetical statement that is true,[1] but not provable in the theory (Kleene 1967, p. 250)


note
"... there is an arithmetical statement that is true..."

In other words there are true mathematical statements which cant be proven
But the fact is Godel cant tell us what makes a mathematical statement true thus his theorem is meaningless

Title: Re: Gödel’s 1st theorem is meaningless
Post by: Bored chemist on 23/01/2019 07:22:56

So, you don't understand Gödel's theorems.
Don't worry about it. Most  people don't.