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It is not the case that On pluralist frameworks, transitivity is a constraint internal to single-dimension orderings and does not apply across incommensurable value scales.
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Reasons For
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Reason for
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1.
If values are truly incommensurable, agents cannot make any overall choices between them—yet people rationally decide across value domains constantly.
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2.
Abandoning transitivity across scales creates preference cycles and money-pump vulnerabilities, undermining rational agency even if values are plural.
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3.
Compartmentalizing transitivity by dimension merely relocates the problem: which scale governs when values conflict? This requires overarching comparison.
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Reasons Against
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Reason against
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1.
Incommensurable values (e.g., justice vs. beauty) lack a common metric, making cross-scale comparisons logically undefined rather than merely difficult.
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2.
Within single dimensions, agents can rank options consistently; transitivity failure across dimensions reflects genuine value pluralism, not irrationality.
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3.
Real-world choices often prioritize values context-dependently; restricting transitivity to single scales accommodates this flexibility without contradiction.
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