List: Fundamental theorems in scinece

Clue: A fundamental theorem of operator theory
Answer: Banach Stone theorem
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Clue: A fundamental theorem of mathematical logic
Answer: Stones representation theorem for Boolean algebras
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Clue: A fundamental theorem of number theory
Answer: Green Tao theorem
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Clue: A fundamental theorem of group theory
Answer: Fittings theorem
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Clue: A fundamental theorem of order theory
Answer: Kleene fixed point theorem
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Clue: A fundamental theorem of elliptic curves
Answer: Nagell Lutz theorem
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Clue: A fundamental theorem of group theory
Answer: Gromovs theorem
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Clue: A fundamental theorem of probability theory
Answer: Theorem of de Moivre Laplace
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Clue: A fundamental theorem of Hamiltonian
Answer: Liouvilles theorem
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Clue: A fundamental theorem of homotopy theory
Answer: Browns representability theorem
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Clue: A fundamental theorem of differential geometry
Answer: Newlander Niremberg theorem
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Clue: A fundamental theorem of Set theory, Cantor's diagonal argument
Answer: Cantors theorem
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