David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Linguistics and Philosophy 8 (3):353-357 (1985)
I show that given Jonathan Bennett's theory of 'even if,' the following statement is logically true iff the principle of conditional excluded is valid: (SE) If Q and if P wouldn't rule out Q, then Q even if P. Hence whatever intuitions support the validity of (SE) support the validity of Conditional Excluded Middle, too. Finally I show that Bennett's objection to John Bigelow's theory of the conditional can be turned into a (perhaps) more telling one, viz. that on Bigelow's theory 'if P then Q' and 'if P and Q then R' do not jointly entail 'if P then R'.
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Eric Swanson (2012). Conditional Excluded Middle Without the Limit Assumption. Philosophy and Phenomenological Research 85 (2):301-321.
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