Posted: Mar 09, 2020 4:17 am
jane wrote:Hi felltoearth
while OlivierK is answering my point
perhaps you could address dean
on Godel1) Gödel’s 1st theorem
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
If Godel said "effectively generated formal theory that proves certain basic arithmetic gibblies, there is an arithmetical statement that is gibbly"
but did not tell us what gibbly or gibblies are/meant you would have no trouble saying hey Godel your statement/ theorem is meaningless
same goes for true maths statement if he cant tell us what makes a maths statement true then his theorem is meaningless
I’m not a mathematician so no I can’t.