incompleteness is proven by completing

first theorem:
an axiomatic system cannot prove all truths with
no falsehoods

second theorem:
if an axiomatic system can be proven internally consistent, it is
incomplete

a liar states “this statement is false”

consider
paradox is bound by sentience
since sentience can accept paradox
but
sentience is bound by paradox
since paradox can ensnare sentience

all the rules 
sentience can create
to form a logic construct
are
complete but inconsistent
or
consistent but incomplete

so
keep trying
it can always be better
more complete
more consistent
more elegant
more focused
more symmetric
but it will never be finished

not even when the stars bleed out and the black holes swarm