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It is not the case that It can be true or false that an action is good-according-to-a-specific-person, even if there are no objective moral facts.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Relativized truth predicates ('true-for-S') collapse into descriptions of psychological states, not genuine truth-apt moral claims.
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2.
If 'good-according-to-X' is merely a report of X's attitudes, it cannot preserve the action-guiding, normative force of moral discourse.
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3.
Mackie's error theory shows that stripping objectivity from moral terms changes their meaning so fundamentally the original claim becomes vacuous.
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Reason for 2 of 2
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1.
Frege-Geach problem: if moral terms lack objective reference, they cannot retain stable semantic content across embedded contexts like conditionals.
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2.
A statement that is only 'true relative to a person' cannot function in valid modus ponens inferences, undermining the logical coherence of moral reasoning.
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Reasons Against
1 perspective
Reason against
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1.
If a person sincerely asserts a moral statement, it is a fact that the person desires the thing described.
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2.
Facts about what a person believes to be good are genuine facts, even when objective moral facts do not exist.
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