On Chisholm's paradox
It has been maintained that we are quite able to express (1*)–(4*) without the introduction of a dyadic deontic operator, provided only that we supply our standard deontic logic with a stronger conditional than material implication. The lesson learned from Chisholm's paradox has been the eminently convincing, indeed obvious, one: that what we ought to do is not determined by what is the case in some perfect world, but by what is the case in the best world we can ‘get to’ from this world. What we ought to do depends upon how we are circumstanced.
KeywordsDeontic Logic Good World Material Implication Perfect World Standard Deontic Logic
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- R. M.Chisholm, ‘Contrary-to-duty Imperatives and Deontic Logic’, Analysis 24 (1963), 33–36.Google Scholar
- B.Hansson, ‘An Analysis of Some Deontic Logic’, Nous 4 (1970), 373–398, rep. in Deontic Logic Introductory and Systematic Readings (ed. by Risto Hilpinen), Reidel, 1970.Google Scholar
- G. H. Von Wright, ‘A New System of Deontic Logics’ in Hilpinen, op, cit. Google Scholar
- Risto Hilpinen, ‘Deontic Logic, an Introduction’, in Hilpinen, op. cit., 1–19.Google Scholar
- Jaakko Hintikka, Models for Modalities, Reidel, 1969, 184–213.Google Scholar
- Alan R.Anderson, ‘A Reduction of Deontic Logic to Alethic Modal Logic’, Mind 67 (1958), 100–103.Google Scholar
- Alan R.Anderson, ‘Some Nasty Problems in the Formal Logic of Ethics’, Nous 1 (1967), 345–360.Google Scholar
- DavidLewis, ‘Completeness and Decidability of Three Logics of Counterfactual Conditionals’, Theoria XXXVII (1971), 74–85.Google Scholar
- David Lewis, Counterfactuals, Basil Blackwell, forthcoming.Google Scholar