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It is not the case that The barebones theory of rationality (completeness + transitivity + best-choice selection) is too weak as a theory of rationality.
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Reasons For
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Reason for
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1.
The barebones theory says nothing about belief.
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2.
The barebones theory says nothing about what rationality requires when agents face uncertainty.
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Reasons Against
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Reason against 1 of 2
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1.
Transitivity violations under cyclic preferences (Sen's 'menu-dependence') are rational responses to social context, not failures to be ruled out.
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2.
A theory permitting all transitive, complete preference orderings cannot distinguish rational agents from agents with patently absurd but consistent rankings.
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3.
Rationality requires more than formal coherence; it demands substantive constraints on what ends agents may pursue, as Kant's categorical imperative demonstrates.
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Reason against 2 of 2
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1.
Expected utility theory (von Neumann-Morgenstern) shows that rationality under uncertainty requires additional axioms like independence, which barebones theory omits.
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2.
Allais's paradox empirically demonstrates that agents violate independence while satisfying completeness and transitivity, revealing a normative gap the barebones theory cannot address.
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