Realism, Decidability and the Past

Dissertation, University of Southern California (1996)
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Abstract

Realism is the claim that truth may transcend all possible verification. The familiar Dummettian argument against that modal claim is that there is no way to manifest an understanding of it in actual linguistic practice. The Dummettian anti-realist's provisional conclusion is that the modal claim must be false. ;The attack on truth-conditional semantics and on the principle of bivalence are familiar ingredients of the anti-realist negative programme. I agree that, whether mathematical formulae or ordinary sentences in the past tense are concerned, we cannot manifest a knowledge of the truth-conditions of particular instances of 'It is possible that ' by deciding their truth. There is nevertheless a way to argue in favour of specific instances of the modal claim when s is a sentence in the past tense. The proposed argument does not appeal to the recognitional abilities which, in the standard anti-realist perspective, constitute grasp of meaning. It does not commit one to the endorsement of the principle of bivalence, although the principle implies the modal claim. ;Our understanding of the workings of nature, whether grounded on scientific theories or on common sense, implies the modal claim. Since we are only contingently connected to the evidence pro or con past events and since the existence of evidence is itself a contingent matter, sentences which say that those events occurred could be true whether or not we can, at any point in time, detect that they are true. The possibility that truths about past facts transcend all possible verification is a purely natural possibility, grounded on what we know of the workings of nature. ;This implies that decidable statements in the past tense are not immune to the realism vs. anti-realism debate. Although they do not transcend verifiability, they could transcend whatever our recognitional abilities, no matter how extended, would allow us to establish at any point in time, either in the past, right now, or in an indefinitely extensible future

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Fabrice Pataut
Centre National de la Recherche Scientifique

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