Please write a poem about Gödel's Incompleteness Theorem.
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In the realm of logic, vast and grand,
Gödel's mind took a daring stand.
With brilliance deep and thoughts profound,
A theorem arose, where truths are bound.
In systems pure, where numbers play,
And axioms reign, in precise array,
He showed the limits, veils so thin,
Where certainty fades, and doubts begin.
Incompleteness, his grand reveal,
A hidden truth, profound and real.
No system whole, can claim the right,
To capture all, in logic's light.
For every rule and proof we seek,
There lies a truth, elusive, meek.
Unprovable they are, yet clear and true,
Beyond the grasp of what we knew.
Gödel's gift, a paradox bright,
A beacon in, the quest for light.
In every quest for knowledge, pure,
Lies a mystery, forever sure.
So let us ponder, minds set free,
The depths of logic's vast decree.
Incompleteness, a wondrous gleam,
A testament to, the power of dream.