Re: robinson arithmetic is not incomplete



george says

Right.

but untill we know what makes a statement gibbly
we have no way of knowing
what his theorem is talking about

Wrong.
It DOES NOT MATTER what OTHER attributes the
statement may or may not have. If the theory
proves NEITHER the statement NOR its denial THEN
the theory is incomplete. ONE OR THE OTHER of the
statement and its denial MUST be true, but we DON'T
NEED to know WHICH, or what "truth" "is", in order to know
to know that theory is incomplete.


i say
rubbish unless i know what a gibbly i cant not know what his theorem is
talking about


george say



we DON'TNEED to know WHICH, or what "truth" "is", in order to know to
know that theory is incomplete.


rubbish until i know what makes a statement true i cant identify a true
statement thus his theorem is meaningless as with out knowing what a true
statement is i cant say there are true statements which are not provable

george says

This whole endeavor DOES NOT EVEN CARE about
what's TRUE: it CARES about what's PROVABLE.
And we all HAVE told you that BEING AN AXIOM makes
a statement provable, AS does being INFERRABLE from
the axioms ACCORDING to the INFERENCE RULES of
the LOGIC.

i say
rubbish until i know what makes a statement true i cant identify a true
statement thus his theorem is meaningless as with out knowing what a true
statement is i cant say there are true statements which are not provable

goerge says

This whole endeavor DOES NOT EVEN CARE about
what's TRUE:

i say rubbish it depends on there being identifibale true statements if i
cant tell what a true statement is the theorem collapses into
meaninglessness as i cant never find a true statement which i will know is
not provable

if there are no such thing as true statement the theorenm is meaningless
and
if there are true statement but i dont know what the hell they are then
again the theorem is meaningless as i cant make any identifications about
anything ie unprovable statments

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