Reflective Equilibrium and Archimedean Points

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Abstract
In A Theory of Justice, John Rawls defines a hypothetical contract situation and argues rational people will agree on reflection it is fair to contractors. He solves the rational choice problem it poses by deriving two lexically-ordered principles of justice and suggests the derivation justifies the principles. Its soundness aside, just what justificatory force does such a derivation have?On one view, there is no justificatory force because the contract is rigged specifically to yield principles which match our pre-contract moral judgments. Rawls provides ammunition for this claim: “By going back and forth, sometimes altering the conditions of the contractual circumstances, at others withdrawing our judgments [about what is just] and conforming them to principle, I assume that eventually we shall find a description of the initial situation that both expresses reasonable conditions and yields principles which match our considered judgments duly pruned and adjusted.”

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