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- JC Beall (2000). On Truthmakers for Negative Truths. Australasian Journal of Philosophy 78 (2):264 – 268.
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In recent work on truth and truthmaking, D. M. Armstrong has defended a version of 'truthmaker necessitarianism', the doctrine that truths necessitate truthmakers. Truthmaker necessitarianism, he contends, requires the postulation of 'totality facts', which serve as ingredients of truthmakers for general truths and negative truths, and propositions, which function as the fundamental truth bearers. I argue that neither totality facts nor propositions need figure in an account of truthmaking, and suggest that both are artifacts stemming, albeit in different ways, from an ontologically shady 'linguisticizing' tendency to conflate features of descriptions and features of what is described.
In this paper, I make a contribution to a naturalistically-minded theory of truthmakers by proposing a solution to the nasty problem of truthmakers for negative truths. After formulating the difficulty, I consider and reject a number of solutions to the problem, including Armstrong's states of affairs of totality, incompatibility accounts, and JC Beall's polarity view. I then defend the position that absences of truthmakers are real and are responsible for making negative truths true (and positive falsehoods false). According to the positive account of absences I offer, absences of contingent states of affairs are causally relevant mind-independent features of the physical world, located within space and time, and capable of being discovered by scientific inquiry. Recognition of the reality of absences strengthens truthmaker theory as a naturalistic metaphysics, as truth and falsity of each and every contingent proposition finds an ontological grounding in some region of the physical universe.
This paper attempts to locate, within an actualist ontology, truthmakers for modal truths: truths of the form or . In Sect. 1 I motivate the demand for substantial truthmakers for modal truths. In Sect. 21 criticise Armstrong's account of truthmakers for modal truths. In Sect. 31 examine essentialism and defend an account of what makes essentialist attributions true, but I argue that this does not solve the problem of modal truth in general. In Sect. 41 discuss, and dismiss, a theistic account of the source of modal truth proposed by Alexander Pruss. In Sect. 5 I offer a means of (dis)solving the problem.
This bulletin contains a summary of the main topics of discussion in truthmaker theory, namely: the definition of truthmakers, problems with Truthmaker Necessitarianism and Truthmaker Maximalism, the ontological burden of truthmakers and the recalcitrant topic of truthmakers for negative truths.
I argue that Colin Cheyne and Charles Pigden's recent attempt to find truthmakers for negative truths fails. Though Cheyne and Pigden are correct in their treatment of some of the truths they set out to find truthmakers for (such as 'There is no hippopotamus in S223' and 'Theatetus is not flying') they over-generalize when they apply the same treatment to 'There are no unicorns'. In my view, this difficulty is ineliminable: not every truth has a truthmaker.
When there is truth, there must be some thing (or things) to account for that truth: some thing(s) that couldn’t exist and the true proposition fail to be true. That is the truthmaker principle. True propositions are made true by entities in the mind-independently existing external world. The truthmaker principle seems attractive to many metaphysicians, but many have wanted to weaken it and accept not that every true proposition has a truthmaker but only that some important class of propositions require truthmakers.1 Let us, following Armstrong, call the claim that all true propositions, without exception, have a truthmaker, Truthmaker Maximalism. Why might one be tempted to the spirit of truthmaker theory but reject Truthmaker Maximalism? Well, you might deny that necessary truths need truthmakers, for one, and insist that only contingent truths have truthmakers. But I think it’s fair to say that the most common motivation for rejecting maximalism concerns negative truths. The thought that negative truths are exempt from the demand for truthmakers could be justified in one of two ways: there is the claim that we don’t need truthmakers for negative truths, and there is the claim that we can’t have..
This paper argues that a consideration of the problem of providing truthmakers for negative truths undermines truthmaker theory. Truthmaker theorists are presented with an uncomfortable dilemma. Either they must take up the challenge of providing truthmakers for negative truths, or else they must explain why negative truths are exceptions to the principle that every truth must have a truthmaker. The first horn is unattractive since the prospects of providing truthmakers for negative truths do not look good neither absences, nor totality states of affairs, nor Graham Priest and J.C. Beall’s ‘polarities’ (Beall, 2000; Priest, 2000) are up to the job. The second horn, meanwhile, is problematic because restricting the truthmaker principle to atomic truths, or weakening it to the thesis that truth supervenes on being, undercuts truthmaker theory’s original motivation. The paper ends by arguing that truthmaker theory is, in any case, an under-motivated doctrine because the groundedness of truth can be explained without appeal to the truthmaker principle. This leaves us free to give the ommonsensical and deflationary explanation of negative truths that common-sense suggests.
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