David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophy of Science 27 (4):374-390 (1960)
It is claimed that 'Do x!' means 'Then you will do x'. Answering a "Why?" question concerning the former may take either of two forms, viz., 'Because --' or 'If you wish to --'. The second answer completes the truncated hypothetical. "Ought" sentences are treated as a species of imperatives involving universality in the "if" clause ('If anyone wished to --'). Moral "ought" sentences involve a double universality, viz., the one mentioned above and universality connecting the action with social harmony (e.g., "If everyone were to do x, then there would be social harmony')
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Peter B. M. Vranas (2008). New Foundations for Imperative Logic I: Logical Connectives, Consistency, and Quantifiers. Noûs 42 (4):529-572.
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