Moore nowhere explicitly bifurcates his theory into a criterion level and a decision-procedure level, yet his conservatism functionally requires exactly this distinction to avoid contradiction.

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Conservatism(The passage disambiguates conservatism from its traditional European institutional associations to allow for non-European variants.): A political disposition that is not necessarily defined by defence of a landed nobility, monarchy, and established church.
Moore(Moore's proof refers to his famous argument for the existence of external objects): G.E. Moore was an influential 20th-century philosopher known for defending common sense claims (like 'this is a hand') against skeptical arguments that doubt what we can know about the world.
avoid contradiction(the purpose of the theoretical distinction Moore needs): To prevent a situation where two parts of a theory say opposite things, which would make the theory logically broken.
bifurcates(describing how Moore's theory is or isn't separated into levels): Splits or divides something into two distinct parts.

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